activity
20062026
most citedOn the bend number of circular-arc graphs as edge intersection graphs of paths on a grid

13 citations · 28 across the 11 of their papers we have counts for

collaborators

13 papers

math.CO2026

On the spectrum and expansion of graph associahedra

Ana Gargantini, Adrián Pastine, Pablo Torres +1

In this article, we contribute to the spectral analysis of graph associahedra by providing a lower bound for the second largest eigenvalue of . Furthermore, using e…

cs.DS2026

Token sliding independent set reconfiguration on graphs with few 's

Lucia Busolini, Mario Valencia-Pabon

We consider the INDEPENDENT SET RECONFIGURATION problem under the Token Sliding rule. Let be an independent set of a simple undirected graph . Suppose that each vertex of $I…

cs.DS2025

Computing distances is FPT on graph associahedra and W[2]-hard on hypergraphic polytopes

Luís Felipe I. Cunha, Ignasi Sau, Uéverton S. Souza +1

An elimination tree of a connected graph is a rooted tree on the vertices of obtained by choosing a root and recursing on the connected components of to obtain th…

math.CO2024

Exact distance Kneser graphs

Agustina Victoria Ledezma, Adrián Pastine, Mario Valencia-Pabon

For any graph and positive integer , the exact distance- graph is the graph with vertex set , where two vertices are adjacent if and only if the dista…

math.CO2022★ 2 cited

The rotation distance of brooms

Jean Cardinal, Lionel Pournin, Mario Valencia-Pabon

The associahedron of a graph has the property that its vertices can be thought of as the search trees on and its edges as the rotations between two search…

math.CO2022

On restricted completions of chordal and trivially perfect graphs

Mitre C. Dourado, Luciano N. Grippo, Mario Valencia-Pabon

Let be a graph having a vertex such that is a trivially perfect graph. We give a polynomial-time algorithm for the problem of deciding whether it is possible to…