On $m$-Closed Graphs
نویسندگان
چکیده
A graph is closed when its vertices have a labeling by [n] such that the binomial edge ideal JG has a quadratic Gröbner basis with respect to the lexicographic order induced by x1 > · · · > xn > y1 > · · · > yn. In this paper, we generalize this notion and study the so called m-closed graphs. We find equivalent condition to 3-closed property of an arbitrary tree T . Using it, we classify a class of 3-closed trees. The primary decomposition of this class of graphs is also studied.
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عنوان ژورنال:
- Electr. J. Comb.
دوره 21 شماره
صفحات -
تاریخ انتشار 2014