USF St. Petersburg campus Faculty Publications

Colin de Verdière Parameters of Chordal Graphs

SelectedWorks Author Profiles:

Lon Mitchell

Document Type

Article

Publication Date

2013

ISSN

1081-3810

Abstract

The Colin de Verdi`ere parameters, μ and v, are defined to be the maximum nullity of certain real symmetric matrices associated with a given graph. In this work, both of these parameters are calculated for all chordal graphs. For v the calculation is based solely on maximal cliques, while for μ the calculation depends on split subgraphs. For the case of μ our work extends some recent work on computing μ for split graphs.

Publisher

International Linear Algebra Society

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