Shiv Parsad

activity

20142026

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math.GT2025

Some analogues of isoperimetric inequality

Subash Chandra Behera, Shiv Parsad

The discrete isoperimetric inequality states that among all n -gons with a fixed area, the regular n -gon has the least perimeter. We prove analogues of the discrete isoperimetric…

math.GT2025

Filling systems of maximum size

Rakesh Kumar, Shiv Parsad

Let $S_{g}$ be a closed orientable surface of genus $g \geq 2$ . A collection $Ω = {γ_{1}, \dots, γ_{s}}$ of pairwise non-homotopic simple closed curves on $S_{g}$ such that $γ_{i}$ and $γ_j…