[Turkmath:1303] Interactions of Commutative Algebra and Graph Theory

[Katsampekis Anargyros]

Dear all,


Dr. Anargyros Katsampekis will deliver a series of three lectures on

Interactions of commutative algebra and graph theory.
The mini-course will take place June 3-8 at Istanbul Center for Mathematical Sciences (IMBM).

The programme is as follows:
Friday 3 June 12.00-14.00 Graph Colorings
Monday 6 June 12.00-14.00 Indispensable elements of binomial ideals.
Wednesday 8 June 12.00-14.00 Robust toric ideals arising from graphs.


Bibliography


[1] D. Bayer. The division algorithm and the Hilbert Scheme, Ph.D. Thesis, Harvard University, 1982.

[2] A. Boocher, B. C. Brown, T. Duff, L. Lyman, T. Murayama, A. Neky and K. Schaefer. Robust graph ideals, Annals of Combinatorics 19 (2015), 641-660.

[3] H. Charalambous, A. Katsabekis and A. Thoma. Minimal systems of binomial generators and the indispensable complex of a toric ideal, Proceedings of the American Mathematical Society 135 (2007), 3443-3451.

[4] H. Charalambous, A. Thoma and M. Vladoiu. Binomial fibers and indispensable binomials,  Journal of Symbolic Computation 74 (2016), 578-591.

[5] J. A. de Loera. Groebner bases and graph colorings, Beitrage zur Algebra und Geometrie 36 (1995), 89-96.

[6] C. Hillar and T. Windfeldt. An algebraic characterization of uniquely vertex colorable graphs, Journal of Combinatorial Theory Series B, 98 (2008), 400-414.

[7] A. Katsabekis and I. Ojeda. An indispensable classification of monomial curves in A4(K), Pacific Journal of Mathematics 268-1 (2014), 95-116.

[8] L. Lovasz. Stable sets and polynomials, Discrete Mathematics 124 (1994), 137-153.


Best regards,


Anargyros





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