Density of Real Zeros of the Tutte Polynomial

Publication: Research - peer-reviewJournal article – Annual report year: 2017

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The Tutte polynomial of a graph is a two-variable polynomial whose zeros and evaluations encode many interesting properties of the graph. In this article we investigate the real zeros of the Tutte polynomials of graphs, and show that they form a dense subset of certain regions of the plane. This is the first density result for the real zeros of the Tutte polynomial in a region of positive volume. Our result almost confirms a conjecture of Jackson and Sokal except for one region which is related to an open problem on flow polynomials.
Original languageEnglish
JournalElectronic Notes in Discrete Mathematics
Volume61
Pages (from-to)941-946
Number of pages6
ISSN1571-0653
DOIs
StatePublished - 2017
CitationsWeb of Science® Times Cited: No match on DOI

    Keywords

  • Tutte polynomial, Multivariate, Zeros of the Tutte polynomial
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