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math.AC2016
Depth and Stanley depth of the path ideal associated to an -cyclic graph
Guangjun Zhu
We compute the depth and Stanley depth for the quotient ring of the path ideal of length associated to a -cyclic graph, given some precise formulas for depth when $n\not\equ…
math.AC2016
Projective dimension and regularity of the path ideal of the line graph
Guangjun Zhu
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…
math.AC2016
Projective dimension and regularity of path ideals of cycles
Guangjun Zhu
In this paper, we give a formula to compute all the top degree graded Betti numbers of the path ideals of a cycle. As a consequence we can give a formula to compute its projective…