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Title: Graphs with least eigenvalue -2 attaining a convex quadratic upper bound for the stability number
Author: Cardoso, Domingos M.
Cvetkovic, D.
Keywords: Graph theory
Graph spectra
Line graph
Quadratic programming
Stability number
Issue Date: 2006
Publisher: Academie Serbe des Sciences et des Arts
Abstract: In this paper we study the conditions under which the stability number of line graphs, generalized line graphs and exceptional graphs attains a convex quadratic programming upper bound. In regular graphs this bound is reduced to the well known Hoffman bound. Some vertex subsets inducing subgraphs with regularity properties are analyzed. Based on an observation concerning the Hoffman bound a new construction of regular exceptional graphs is provided.
Peer review: yes
ISSN: 0561-7332
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Appears in Collections:DMat - Artigos

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