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20182026
most citedOrdinary and symbolic powers of edge ideals of weighted oriented graphs

1 citations · 1 across the 3 of their papers we have counts for

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math.AC2026

Regularity of Squarefree Powers of Edge Ideals of Whiskered Cycles

Sanjoy Das, Arka Ghosh, S Selvaraja

Let be a finite simple graph and let denote its edge ideal. For , the -th squarefree power is generated by squarefree monomials corresponding to…

math.AC2026

Cohen-Macaulayness of squarefree powers of edge ideals of whisker graphs

Rakesh Ghosh, S Selvaraja

Let be a finite simple graph with edge ideal . For , the -th squarefree power is generated by products of pairwise disjoint edges of . It i…

math.AC20211 cited

Ordinary and symbolic powers of edge ideals of weighted oriented graphs

Arindam Banerjee, Kanoy Kumar Das, S. Selvaraja

Let be a weighted oriented graph and be its edge ideal. In this paper, we show that all the symbolic and ordinary powers of coincide…

math.AC2019

Symbolic powers of vertex cover ideals

S Selvaraja

Let be a finite simple graph and denote its cover ideal in a polynomial ring over a field . In this paper, we show that all symbolic powers of cover ideals o…

math.AC2019

Symbolic powers of certain cover ideals of graphs

Arvind Kumar, Rajiv Kumar, Rajib Sarkar +1

In this paper, we compute the regularity and Hilbert series of symbolic powers of the cover ideal of a graph when is either a crown graph or a complete multipartite graph.…

math.AC2018

Upper bounds for the regularity of powers of edge ideals of graphs

A. V. Jayanthan, S. Selvaraja

Let be a finite simple graph and denote the corresponding edge ideal. In this paper, we obtain upper bounds for the Castelnuovo-Mumford regularity of in terms o…