Ajay Kumar

activity

20112021

most citedPolynomials in operator space theory: matrix ordering and algebraic aspects

6 citations · 27 across the 27 of their papers we have counts for

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4 papers · 1 filter

math.AC2021

Certain Homological Invariants of Bipartite Kneser Graphs

Ajay Kumar, Pavinder Singh, Rohit Verma

In this paper, we obtain a combinatorial formula for computing the Betti numbers in the linear strand of edge ideals of bipartite Kneser graphs. We deduce lower and upper bounds fo…

math.AC2020★ 1 cited

Herzog, Hibi and Ohsugi conjecture for trees

Ajay Kumar, Rajiv Kumar

Let $S = K [x_{1}, \dots, x_{n}]$ be a polynomial ring, where $K$ is a field, and $G$ be a simple graph on $n$ vertices. Let $J (G) \subset S$ be the vertex cover ideal of…

math.AC2019

Regularity, Rees algebra and Betti numbers of certain cover ideals

Ajay Kumar, Rajiv Kumar

Let $S = k [X_{1}, \dots, X_{n}]$ be a polynomial ring, where $k$ is a field. This article deals with the defining ideal of the Rees algebra of squarefree monomial ideal genera…

math.AC2018

Certain Classes of Cohen-Macaulay Multipartite Graphs

Rajiv Kumar, Ajay Kumar

The Cohen-Macaulay property of a graph arising from a poset has been studied by various authors. In this article, we study the Cohen-Macaulay property of a graph arising from a fam…