Krishna Menon

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20212026

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math.CO2026

Gamma-positivity for octopuses: a bijective proof

Krishna Menon

Chapoton introduced an interesting family of polytopes called arbor polytopes, where a polytope $Q_{τ}$ is associated to any arbor $τ$ . Chapoton conjectured that the polyno…

math.CO2026

Ehrhart positivity for marked order polytopes

Katharina Jochemko, Krishna Menon

Given a pair of finite posets $A \subseteq P$ , the function counting integer-valued order preserving extensions of an order preserving map $λ : A \to Z$ from $A$ to…

math.CO2026

How to bounce your canon permutation

Danai Deligeorgaki, Krishna Menon

We study a new class of palindromic descent polynomials. Given a Dyck path $d$ of semilength $n$ and a permutation $σ$ of size $n$ , one can label the up-steps and down-steps of $d$ …

math.CO2026

Descent-restricted subsequences via RSK and evacuation

Krishna Menon, Anurag Singh

The length $is (π)$ of a longest increasing subsequence in a permutation $π$ has been extensively studied. An increasing subsequence is one that has no descents. We study g…

math.CO2024

Exploring the Influence of Graph Operations on Zero Forcing Sets

Krishna Menon, Anurag Singh

Zero forcing in graphs is a coloring process where a colored vertex can force its unique uncolored neighbor to be colored. A zero forcing set is a set of initially colored vertices…

math.CO2024

Sum of squares of hook lengths and contents

Krishna Menon

It is known that for the Young diagram of any partition of an integer $n$ , the sum of squares of the hook lengths of its cells is exactly $n^{2}$ more than that of the contents of it…