The well-covered dimension of products of graphs

نویسندگان

  • Isaac Birnbaum
  • Megan Kuneli
  • Robyn McDonald
  • Katherine Urabe
  • Oscar Vega
چکیده

We discuss how to find the well-covered dimension of a graph that is the Cartesian product of paths, cycles, complete graphs, and other simple graphs. Also, a bound for the well-covered dimension of Kn × G is found, provided that G has a largest greedy independent decomposition of length c < n. Formulae to find the well-covered dimension of graphs obtained by vertex blowups on a known graph, and to the lexicographic product of two known graphs are also given.

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عنوان ژورنال:
  • Discussiones Mathematicae Graph Theory

دوره 34  شماره 

صفحات  -

تاریخ انتشار 2014