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MATH-4150: Graph Theory
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<meta property="og:title" content="MATH-4150: Graph Theory">
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<meta property="og:description" content="Fundamental concepts and methods of graph theory and its applications to various areas of computing and the social and natural sciences. Topics include graphs as models, representation of graphs, trees, distances, matchings, connectivity, flows in networks, graph colorings, Hamiltonian cycles, traveling salesman problem, planarity. All concepts, methods, and applications are presented through a sequence of exercises and problems, many of which are done with the help of novel software systems for combinatorial computing.">
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<h1 id="name">
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Graph Theory
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</h1>
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<h2 id="code">
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MATH-4150
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</h2>
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<p>
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Fundamental concepts and methods of graph theory and its applications to various areas of computing and the social and natural sciences. Topics include graphs as models, representation of graphs, trees, distances, matchings, connectivity, flows in networks, graph colorings, Hamiltonian cycles, traveling salesman problem, planarity. All concepts, methods, and applications are presented through a sequence of exercises and problems, many of which are done with the help of novel software systems for combinatorial computing.
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</p>
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4 credits
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Cross-listed with:
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</div>
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<div id=crosslist-classes" class="rel-info-courses">
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<a class="course-pill" href="CSCI-4260">CSCI-4260 Graph Theory</a>
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Prereqs:
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<a class="course-pill" href="CSCI-1100">CSCI-1100 Computer Science I</a>
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<div class="pr-and">and</div>
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one of:
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<a class="course-pill" href="CSCI-2200">CSCI-2200 Foundations Of Computer Sci</a>
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<a class="course-pill" href="MATH-4090">MATH-4090 Foundations Of Analysis</a>
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Offered as Cross-Listing Only
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<th class="spring season-label">Spring</th>
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<th class="summer season-label" colspan="2">Summer</th>
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<th class="fall season-label">Fall</th>
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<tr>
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<th colspan="2"></th>
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<th class="summer2 midsum-label">(Session 1)</th>
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<th class="summer3 midsum-label">(Session 2)</th>
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<th></th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<th class="year">2025</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer unscheduled">
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</td>
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<td class="term fall unscheduled">
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</td>
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</tr>
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<tr>
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<th class="year">2024</th>
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<td class="term spring offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202401&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
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</span>
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<ul class="prof-list">
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<li>George M. Slota</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 32/30
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</span>
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</div>
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2023</th>
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<td class="term spring offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202301&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
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</span>
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<ul class="prof-list">
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<li>George M. Slota</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 26/70
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</span>
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</div>
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2022</th>
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<td class="term spring offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202201&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
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</span>
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<ul class="prof-list">
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<li>George M. Slota</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 18/20
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</span>
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</div>
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2021</th>
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<td class="term spring offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202101&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
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</span>
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<ul class="prof-list">
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<li>George M. Slota</li>
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<li>Shianne M. Hulbert</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 29/30
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</span>
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</div>
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2020</th>
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<td class="term spring offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202001&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
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</span>
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<ul class="prof-list">
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<li>George M. Slota</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 16/30
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</span>
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</div>
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2019</th>
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<td class="term spring not-offered">
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</td>
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<td class="term summer2 offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201905&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
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</span>
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<ul class="prof-list">
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<li>George M. Slota</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 30/90
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</span>
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</div>
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</td>
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<td class="term summer3 not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
|
|
<th class="year">2018</th>
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<td class="term spring offered">
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|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201801&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
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</span>
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|
<ul class="prof-list">
|
|
<li>George M. Slota</li>
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|
</ul>
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<span class="course-capacity">
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|
Seats Taken: 34/36
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</span>
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</div>
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
|
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<tr>
|
|
<th class="year">2017</th>
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<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201701&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>George M. Slota</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 12/16
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</span>
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|
</div>
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
|
|
<tr>
|
|
<th class="year">2016</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2015</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201501&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark K Goldberg</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 18/40
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2014</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201401&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark K Goldberg</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 26/40
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2013</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201301&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark K Goldberg</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 24/40
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2012</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201201&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark K Goldberg</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 30/40
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2011</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201101&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark K Goldberg</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 29/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
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|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2010</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201001&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark K Goldberg</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 18/20
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2009</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200901&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark K Goldberg</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 9/20
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2008</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200801&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark K Goldberg</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 23/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2007</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200701&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Ibrahim Volkan Isler</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 14/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2006</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200601&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Ibrahim Volkan Isler</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 20/50
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2005</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200501&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark K Goldberg</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 8/50
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2004</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200401&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark K Goldberg</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 17/50
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2003</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200301&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark K Goldberg</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 11/50
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2002</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200201&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark K Goldberg</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 20/50
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2001</th>
|
|
<td class="term spring not-offered">
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2000</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200001&subj_in=MATH&crse_in=4150&schd_in=">Graph Theory (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark K Goldberg</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 24/56
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">1999</th>
|
|
<td class="term spring not-offered">
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">1998</th>
|
|
<td class="term spring unscheduled">
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
</div>
|
|
</div>
|
|
</body>
|
|
</html>
|