C. Kumar

activity

20092026

most citedOn the Surjectivity of Certain Maps II: For Generalized Projective Spaces

2 citations · 7 across the 11 of their papers we have counts for

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Showing 2020 · math.COShow all

4 papers · 2 filters

math.CO2020

On Very Generic Discriminantal Arrangements

C P Anil Kumar

In this article we prove two main results. Firstly, we show that any six-line arrangement, consisting of three pairs of mutually perpendicular lines, does not give rise to a "very…

math.CO2020★ 1 cited

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

Chanchal Kumar, Gargi Lather, Amit Roy

Let $G$ be a (multi) graph on the vertex set $V = {0, 1, \dots, n}$ with root $0$ . The $G$ -parking function ideal $M_{G}$ is a monomial ideal in the polynomial ring $R=\math…

math.CO2020★ 1 cited

Skeleton Ideals of Certain Graphs, Standard Monomials and Spherical Parking Functions

Chanchal Kumar, Gargi Lather, Sonica

Let $G$ be an (oriented) graph on the vertex set $V = {0, 1, \dots, n}$ with root $0$ . Postnikov and Shapiro associated a monomial ideal $M_{G}$ in the polynomial ring $…

math.CO2020

Integer Sequences and Monomial Ideals

Chanchal Kumar, Amit Roy

Let $S_{n}$ be the set of all permutations of $[n] = {1, \dots, n}$ and let $W$ be the subset consisting of permutations $σ \in S_{n}$ avoiding 132 and 312-patterns…