TY - JOUR ID - 1054 TI - An upper bound for the regularity of powers of edge ideals JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Moghimian, M. AD - Department of Mathematics‎, ‎Science and Research Branch‎, ‎Islamic Azad University (IAU)‎, ‎Tehran‎, ‎Iran. Y1 - 2017 PY - 2017 VL - 43 IS - 6 SP - 1695 EP - 1698 KW - Edge ideal KW - Castelnuovo-Mumford regularity KW - matching number DO - N2 - ‎A recent result due to Ha and Van Tuyl proved that the Castelnuovo-Mumford regularity of the quotient ring $R/I(G)$ is at most matching number of $G$‎, ‎denoted by match$(G)$‎. ‎In this paper‎, ‎we provide a generalization of this result for powers of edge ideals‎. ‎More precisely‎, ‎we show that for every graph $G$ and every $s\geq 1$‎, ‎$${\rm reg}( R‎/ ‎I(G)^{s})\leq (2s-1) |E(G)|^{s-1} {\rm match}(G).$$‎ UR - http://bims.iranjournals.ir/article_1054.html L1 - http://bims.iranjournals.ir/article_1054_da3531e9ece50748643698a60817cad6.pdf ER -