مشخصات پژوهش

عنوان	Regularity and projective dimension of some class of well-covered graphs
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Castelnuovo{Mumford regularity, edge ideal, induced matching, projective dimension, well-covered graph
چکیده	In this paper we study the Castelnuovo{Mumford regularity of an edge ideal associated with a graph in a special class of well-covered graphs. We show that if G belongs to the class SQ, then the Castelnuovo{Mumford regularity of R=I(G) will be equal to induced matching number of G. For this class of graphs we also compute the projective dimension of the ring R=I(G) . As a corollary we describe these invariants in well-covered forests, well-covered chordal graphs, Cohen{Macaulay Cameron{Walker graphs, and simplicial graphs.
پژوهشگران	اسفندیار لشنی (نفر اول)، علی سلیمان جهان (نفر دوم)