Rajiv Kumar

activity

20122026

most citedEstimation of mass outflow rates from viscous relativistic accretion discs around black holes

52 citations · 368 across the 27 of their papers we have counts for

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Showing math.ACShow all

9 papers · 1 filter

math.AC2026

Purity of extremal rays of Betti cones

H. Ananthnarayan, Omkar Javadekar, Rajiv Kumar

Let $R$ be a standard graded algebra over an infinite field $k$ , and let $B_{Q} (R)$ and $B_{Q}^{pure} (R)$ denote the rational c…

math.AC2023

Powers of vertex cover ideals of Simplicial Trees

Bijender, Ajay Kumar, Rajiv Kumar

In $2011$ , Herzog, Hibi, and Ohsugi conjectured that if $J$ is the cover ideal of a chordal graph, then $J^{s}$ is componentwise linear for all $s \geq 1.$ In 2022, Hà and Tuyl consid…

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.AC2019★ 14 cited

Certain Algebraic Invariants of Edge Ideals of Join of Graphs

Arvind Kumar, Rajiv Kumar, Rajib Sarkar

Let $G$ be a simple graph and $I (G)$ be its edge ideal. In this article, we study the Castelnuovo-Mumford regularity of symbolic powers of edge ideals of join of graphs. As a conse…

math.AC2019★ 6 cited

Regularity of Symbolic Powers of Edge Ideals

A. V. Jayanthan, Rajiv Kumar

In this article, we prove that for several classes of graphs, the Castelnuovo-Mumford regularity of symbolic powers of their edge ideals coincide with that of their ordinary powers…