On the power of combinatorial and spectral invariants

    Research output: Contribution to journalArticle

    5 Scopus citations

    Abstract

    We extend the traditional spectral invariants (spectrum and angles) by a stronger polynomial time computable graph invariant based on the angles between projections of standard basis vectors into the eigenspaces (in addition to the usual angles between standard basis vectors and eigenspaces). The exact power of the new invariant is still an open problem. We also define combinatorial invariants based on standard graph isomorphism heuristics and compare their strengths with the spectral invariants. In particular, we show that a simple edge coloring invariant is at least as powerful as all these spectral invariants.

    Original languageEnglish (US)
    Pages (from-to)2373-2380
    Number of pages8
    JournalLinear Algebra and Its Applications
    Volume432
    Issue number9
    DOIs
    StatePublished - Apr 15 2010

    All Science Journal Classification (ASJC) codes

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

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