Eigenvalue location in graphs of small clique-width

Martin Fürer, Carlos Hoppen, David P. Jacobs, Vilmar Trevisan

Research output: Contribution to journalArticle

Abstract

Finding a diagonal matrix congruent to A−cI for constants c, where A is the adjacency matrix of a graph G allows us to quickly tell the number of eigenvalues in a given interval. If G has clique-width k and a corresponding k-expression is known, then diagonalization can be done in time O(poly(k)n) where n is the order of G.

LanguageEnglish (US)
Pages56-85
Number of pages30
JournalLinear Algebra and Its Applications
Volume560
DOIs
StatePublished - Jan 1 2019

Fingerprint

Clique-width
Diagonalization
Congruent
Diagonal matrix
Adjacency Matrix
Eigenvalue
Interval
Graph in graph theory

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

Cite this

Fürer, Martin ; Hoppen, Carlos ; Jacobs, David P. ; Trevisan, Vilmar. / Eigenvalue location in graphs of small clique-width. In: Linear Algebra and Its Applications. 2019 ; Vol. 560. pp. 56-85.
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Eigenvalue location in graphs of small clique-width. / Fürer, Martin; Hoppen, Carlos; Jacobs, David P.; Trevisan, Vilmar.

In: Linear Algebra and Its Applications, Vol. 560, 01.01.2019, p. 56-85.

Research output: Contribution to journalArticle

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