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<p>Dear all,</p>
<p><br>
</p>
<p>Dr. Anargyros Katsampekis will deliver a series of three lectures on </p>
<p>Interactions of commutative algebra and graph theory.<br>
The mini-course will take place June 3-8 at Istanbul Center for Mathematical Sciences (IMBM).</p>
<p><br>
The programme is as follows:<br>
Friday 3 June 12.00-14.00 Graph Colorings<br>
Monday 6 June 12.00-14.00 Indispensable elements of binomial ideals.<span class="text_exposed_show"><br>
Wednesday 8 June 12.00-14.00 Robust toric ideals arising from graphs.</span></p>
<p><br>
<span class="text_exposed_show"></span></p>
<p><span class="text_exposed_show">Bibliography</span></p>
<p><br>
<span class="text_exposed_show"></span></p>
<p><span class="text_exposed_show">[1] D. Bayer. The division algorithm and the Hilbert Scheme, Ph.D. Thesis, Harvard University, 1982.</span></p>
<p>[2] A. Boocher, B. C. Brown, T. Duff, L. Lyman, T. Murayama, A. Neky and K. Schaefer. Robust graph ideals, Annals of Combinatorics
<strong>19</strong> (2015), 641-660.</p>
<p>[3]<span style="font-family: Calibri,Arial,Helvetica,sans-serif;"><span style="line-height: 19px; font-size: medium;"> H. Charalambous, A. Katsabekis and A. Thoma. </span>Minimal systems of binomial generators and the indispensable complex of a toric ideal<span style="line-height: 19px; font-size: medium;">,
Proceedings of the American</span><strong style=""> </strong><span style="line-height: 19px; font-size: medium;">Mathematical Society </span><strong style="">135</strong><span style="line-height: 19px; font-size: medium;"> (2007), 3443-3451.</span></span></p>
<span style="font-family: Calibri,Arial,Helvetica,sans-serif;">[4] H. Charalambous, A. Thoma and M. Vladoiu. Binomial fibers and indispensable binomials,
</span><span style="font-family: Calibri,Arial,Helvetica,sans-serif;"><span style="font-family: Calibri,Arial,Helvetica,sans-serif;">Journal of Symbolic Computation 74 (2016), 578-591.</span></span><br>
<p><span class="text_exposed_show">[5] J. A. de Loera. Groebner bases and graph colorings, Beitrage zur Algebra und Geometrie
<strong>36</strong> (1995), 89-96.</span></p>
<p>[6] C. Hillar and T. Windfeldt. An algebraic characterization of uniquely vertex colorable graphs,
<em>Journal of Combinatorial Theory Series B</em>, <strong>98</strong> (2008), 400-414.<br>
<span class="text_exposed_show"></span></p>
<p><span style="font-family: Calibri,Arial,Helvetica,sans-serif;">[7] <span style="color: rgb(51, 51, 51); font-size: medium; line-height: 19px;">
A. Katsabekis and </span><span style="color: rgb(51, 51, 51); font-size: medium; line-height: normal;">I.</span><span style="color: rgb(51, 51, 51); font-size: medium; line-height: 19px;"> Ojeda. </span>An indispensable classification of monomial curves in<span style="color: rgb(51, 51, 51); font-size: medium; line-height: 19px;"> </span>A<sup style="">4</sup>(K)<span style="color: rgb(51, 51, 51); font-size: medium; line-height: 19px;">,
Pacific Journal of Mathematics </span><font style="" color="#333333" size="3"><span style="line-height: 19px;">268-1 (2014), 95-116.</span></font></span></p>
<p>[8] L. Lovasz. Stable sets and polynomials, Discrete Mathematics <strong>124</strong> (1994), 137-153.</p>
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<p>Best regards,</p>
<p><br>
</p>
<p>Anargyros<br>
<span style="font-family: Calibri,Arial,Helvetica,sans-serif;"><font style="" color="#333333" size="3"><span style="line-height: 19px;"></span></font></span></p>
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S<br>
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