Square Roots of Minor Closed Graph Classes

نویسندگان

  • Nestor V. Nestoridis
  • Dimitrios M. Thilikos
چکیده

Let G be a graph class. The square root of G contains all graphs whose square belong in G. We prove that if G is non-trivial and minor closed, then all graphs in its square root have carving-width bounded by some constant depending only on G. As a consequence, every square root of such a graph class has a linear time recognition algorithm.

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عنوان ژورنال:
  • Electronic Notes in Discrete Mathematics

دوره 38  شماره 

صفحات  -

تاریخ انتشار 2011