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      Algebraic invariants arising from the chromatic polynomials of theta graphs

      Delbourgo, Daniel; Morgan, Kerri
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      ajc_v59_p293.pdf
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       ajc.maths.uq.edu.au
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      Delbourgo, D., & Morgan, K. (2014). Algebraic invariants arising from the chromatic polynomials of theta graphs. Australasian Journal of Combinatorics, 59(2), 293–310.
      Permanent Research Commons link: https://hdl.handle.net/10289/11937
      Abstract
      This paper investigates some algebraic properties of the chromatic polynomials of theta graphs, i.e. graphs which have three internally disjoint paths sharing the same two distinct end vertices. We give a complete description of the Galois group, discriminant and ramification indices for the chromatic polynomials of theta graphs with three consecutive path lengths. We then do the same for theta graphs with three paths of the same length, by comparing them algebraically to the first family. This algebraic link extends naturally to generalised theta graphs with k + 1 branches.
      Date
      2014
      Type
      Journal Article
      Publisher
      CMSA (Inc.)
      Rights
      This article is published in the Australasian Journal of Combinatorics. Used with permission.
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      • Computing and Mathematical Sciences Papers [1455]
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