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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math.CO2026

Equifacetted polytopes whose facets are products of simplices: The simplicial prism case

Federico Castillo, Guillermo Piñeda-Villavicencio, José Alejandro Samper

We study \emph{prismatical} polytopes, those all of whose facets are combinatorially isomorphic to the simplicial prism $Δ^{d - 2} \times Δ^{1}$ . In dimension three these are exactly the…

math.CO2026

Connectivity, toughness, and hamiltonicity of simplicial polytopes

Guillermo Pineda-Villavicencio

For every $d \geq 4$ , every prescribed connectivity $r \geq d$ , and every $ε > 0$ , we construct a simplicial $d$ -polytope whose graph has connectivity exactly $r$ , is nontraceab…