On expansive graphs

  • Authors:
  • F. Larrión;V. Neumann-Lara;M. A. Pizaña

  • Affiliations:
  • Instituto de Matemáticas, Universidad Nacional Autónoma de México, México, D.F. C.P. 04510, Mexico;Instituto de Matemáticas, Universidad Nacional Autónoma de México, México, D.F. C.P. 04510, Mexico;Depto. de Ingeniería Eléctrica, Universidad Autónoma Metropolitana, Av. San Rafael Atlixco 186, Col Vicentina, México 09340 D.F., Mexico

  • Venue:
  • European Journal of Combinatorics
  • Year:
  • 2009

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Abstract

The clique graph K(G) of a graph G, is the intersection graph of its (maximal) cliques, and G is K-divergent if the orders of its iterated clique graphs K(G),K^2(G),K^3(G),... tend to infinity. A coaffine graph has a symmetry that maps each vertex outside of its closed neighbourhood. For these graphs we study the notion of expansivity, which implies K-divergence.