Flavia Bonomo-Braberman

Characterising Chordal Contact-VPG Graphs

2018, International Symposium on Combinatorial Optimization, 89-100, 2018
Citas: 2
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Autor(es)

Flavia Bonomo and Maria Pia Mazzoleni and Mariano Leonardo Rean and Bernard Ries

Abstract

A graph G is a -VPG graph if it is the vertex intersection graph of horizontal and vertical paths on a grid. A graph G is a contact -VPG graph if the vertices can be represented by interiorly disjoint horizontal or vertical paths on a grid and two vertices are adjacent if and only if the corresponding paths touch. In this paper, we present a minimal forbidden induced subgraph characterisation of contact -VPG graphs within the class of chordal graphs and provide a polynomial-time algorithm for recognising these graphs.

Plot de citas

Citas

# Title Year Source Authors
1 Survey of intersection graphs, fuzzy graphs and neutrosophic graphs 2024 … and Uncertainization: Fuzzy, Neutrosophic, Soft, Rough … T Fujita
2 On some special classes of contact B0-VPG graphs 2022 Discrete Applied … F Bonomo-Braberman, MP Mazzoleni, ML Rean
3 Characterising circular-arc contact B0–VPG graphs 2020 Discrete Applied … F Bonomo-Braberman, E Galby, CL Gonzalez