Tapas Kumar Mishra

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math.CO2026

ErdÅs Rado Sunflower Theorem for Shifted Families

Tapas Kumar Mishra

Let $f (k, s)$ denote the minimum integer $m$ such that any family $F$ consisting of $k$ -sized sets of cardinality at least $m$ always contain a sunflower of size $s$ . The…

math.CO2025

The Linear Arboricity Conjecture for Graphs with Large Girth

Tapas Kumar Mishra

The Linear Arboricity Conjecture asserts that the linear arboricity of a graph with maximum degree $I^$ is $⌈(I^ + 1) /2 ⌉$ . For a $2 k$ -regular graph $G$ , this implies $la(…

ErdÅs Rado Sunflower Theorem for Shifted Families

The Linear Arboricity Conjecture for Graphs with Large Girth

ErdÅs Rado Sunflower Theorem for Shifted Families