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20142026
most citedOn the maximum number of points in a maximal intersecting family of finite sets

2 citations · 3 across the 5 of their papers we have counts for

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6 papers · 1 filter

math.CO2026

Upper Bounds on the Turán Density of Hypergraphs Associated with the Projective Plane over a Finite Field

Subhankar Dash, Kaushik Majumder

Let $\PG(2,q)$ denote the projective plane over the finite field where is a prime power. For a positive integer , let $B_{t}[\PG(2,q)]$ denote the -pa…

math.CO2026

An Analytic counting Framework for the generalised Erdős box problem

Subhankar Dash, Kaushik Majumder

In this article, we develop an uniform analogue of the classical Kövári--Sós--Turán inequality. This yields an alternative proof of Erdős's classical upper bound for complete $…

math.CO2019

On the Universality and Extremality of graphs with a distance constrained colouring

Kaushik Majumder, Ushnish Sarkar

A lambda colouring (or colouring) of a graph is an assignment of non-negative integers (with minimum assignment ) to its vertices such that the adjacent vertices must r…

math.CO2015

A note on the transversal size of a series of families constructed over Cycle Graph

Kaushik Majumder, Satyaki Mukherjee

Paul Erdős and László Lovász established by means of an example that there exists a maximal intersecting family of sets with approximately blocks. László Lovász conje…

math.CO2014★ 1 cited

Closed Intersecting Families of finite sets and their applications

Kaushik Majumder

Paul Erdős and László Lovász established that any \emph{maximal intersecting family of sets} has at most blocks. They introduced the problem of finding the maximum poss…

math.CO2014★ 2 cited

On the maximum number of points in a maximal intersecting family of finite sets

Kaushik Majumder

Paul Erdős and László Lovász proved in a landmark article that, for any positive integer , up to isomorphism there are only finitely many maximal intersecting families of se…