Work

An eigenvalue bound for the fractional chromatic number

Year: 2021

Type: preprint

Abstract: We show that Hoffman's sum of eigenvalues bound for the chromatic number is at least as good as the Lovász theta number, but no better than the ceiling of the fractional chromatic number. In order to do so, we display an interesting connection between this sum of eigenvalues bound and a generalization of the Lovász theta number introduced by Manber and Narasimhan in 1988.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2106.11121

Authors: Silva, Marcel K. de Carli, Coutinho, Gabriel, Grandsire, Rafael

Institutions: Universidade Federal de Minas Gerais, Universidade de São Paulo

Language: English

Topic: Advanced Graph Theory Research

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: International Centre for Mathematical Sciences, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Division of Mathematical Sciences

Award: G1422167806

OpenAlex ID: W4287115690

Cites:

Cited by: 1

Related to: 10