Guillermo Pineda-Villavicencio

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20102026

most citedLower bound theorems for general polytopes

14 citations · 46 across the 26 of their papers we have counts for

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Showing 2022 · math.COShow all

2 papers · 2 filters

math.CO2022

Edge connectivity of simplicial polytopes

Vincent Pilaud, Guillermo Pineda-Villavicencio, Julien Ugon

We show that the graph of a simplicial polytope of dimension $d \geq 3$ has no nontrivial minimum edge cut with fewer than $d (d + 1) /2$ edges, hence the graph is $min {δ, d (d + 1) /2}$ …

math.CO2022

Cycle space of graphs of polytopes

Guillermo Pineda-Villavicencio

It is folklore that the cycle space of graphs of polytopes is generated by the cycles bounding the 2-faces. We provide a proof of this result that bypass homological arguments, whi…