Projective dimension and regularity of the path ideal of the line graph

26 Oct 2016 Zhu Guangjun

By generalizing the notion of the path ideal of a graph, we study some algebraic properties of some path ideals associated to a line graph. We show that the quotient ring of these ideals are always sequentially Cohen-Macaulay and also provide some exact formulas for the projective dimension and the regularity of these ideals... (read more)

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  • COMMUTATIVE ALGEBRA