A New Kempe Invariant and the (non)-Ergodicity of the Wang-Swendsen-Kotecky Algorithm Articles uri icon

publication date

  • June 2009

start page

  • 225204


  • 22


  • 42

International Standard Serial Number (ISSN)

  • 1751-8113

Electronic International Standard Serial Number (EISSN)

  • 1751-8121


  • We prove that for the class of three-colorable triangulations of a closed-oriented surface, the degree of a four-coloring modulo 12 is an invariant under Kempe changes. We use this general result to prove that for all triangulations T(3L, 3M) of the torus with 3