A Linear Bound for the Colin de Verdière Parameter \(\boldsymbol{\mu }\) for Graphs Embedded on Surfaces
Year: 2024
Type: article
Abstract: . We provide a combinatorial and self-contained proof of a result following from G. Besson [ Ann. Inst. Fourier, 30 (1980), pp. 109–128] and Y. Colin de Verdière [ Ann. Sci. Éc. Norm. Supér., 20 (1987), pp. 599–615] that for all graphs [Formula: see text] embedded on a surface [Formula: see text], the Colin de Verdière parameter [Formula: see text] is upper bounded by [Formula: see text].
DOI: 10.1137/23m1623628
Institutions: Centre National de la Recherche Scientifique, Institut national de recherche en sciences et technologies du numérique, Laboratoire Lorrain de Recherche en Informatique et ses Applications, Université de Lorraine, Laboratoire des Sciences pour la Conception, l'Optimisation et la Production, Université Grenoble Alpes, Eindhoven University of Technology
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Funder: Agence Nationale de la Recherche
OpenAlex ID: W4401520954