TY - JOUR ID - 3929 TI - The regularity of binomial edge ideals of graphs JO - AUT Journal of Mathematics and Computing JA - AJMC LA - en SN - 2783-2449 AU - Saeedi Madani, Sara AU - Kiani, Dariush AD - Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic),Tehran, Iran Y1 - 2020 PY - 2020 VL - 1 IS - 2 SP - 217 EP - 221 KW - Binomial edge ideal KW - Castelnuovo-Mumford regularity KW - free cut edge DO - 10.22060/ajmc.2020.16433.1024 N2 - In this paper, we study the Castelnuovo-Mumford regularity and the graded Betti numbers of the binomial edge ideals of some classes of graphs. Our special attention is devoted to a conjecture which asserts that the number of maximal cliques of a graph provides an upper bound for the regularity of its binomial edge ideal. UR - https://ajmc.aut.ac.ir/article_3929.html L1 - https://ajmc.aut.ac.ir/article_3929_b83d4acf2f2cd01f5b330abd203696c6.pdf ER -