most citedChordal graphs, higher independence and vertex decomposable complexes

6 citations · 6 across the 2 of their papers we have counts for

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6 papers

math.CO2021★ 6 cited

Chordal graphs, higher independence and vertex decomposable complexes

Fred M. Abdelmalek, Priyavrat Deshpande, Shuchita Goyal +2

Given a simple undirected graph there is a simplicial complex , called the independence complex, whose faces correspond to the independent sets of . This is…

math.CO2020

Standard monomials of -skeleton ideals of multigraphs

Amit Roy

Given a graph on the vertex set with the root vertex , Postnikov and Shapiro associated a monomial ideal in the polynomial ring $R=\mathbb…

math.CO2020

Graded Betti numbers of some circulant graphs

Sonica Anand, Amit Roy

Let be the circulant graph with , and let denote the edge ideal in the polynomial ring $R=\mathbb{K}[x…

math.CO2020

Standard Monomials of 1-Skeleton Ideals of Graphs and Their Signless Laplace Matrices

Chanchal Kumar, Gargi Lather, Amit Roy

Let be a (multi) graph on the vertex set with root . The -parking function ideal is a monomial ideal in the polynomial ring $R=\math…

math.CO2020

Integer Sequences and Monomial Ideals

Chanchal Kumar, Amit Roy

Let be the set of all permutations of and let be the subset consisting of permutations avoiding 132 and 312-patterns…

math.GR2020

Twisted conjugacy classes in twisted Chevalley groups

Sushil Bhunia, Pinka Dey, Amit Roy

Let G be a group and ϕ be an automorphism of G. Two elements x, y of G are said to be ϕ-twisted if y = gxϕ(g)^{-1} for some g in G. We say that a group G has the R_{\infty}-propert…