On critical and cocritical radius edge-invariant graphs

نویسنده

  • Ondrej Vacek
چکیده

The concepts of critical and cocritical radius edge-invariant graphs are introduced. We prove that every graph can be embedded as an induced subgraph of a critical or cocritical radius-edge-invariant graph. We show that every cocritical radius-edge-invariant graph of radius r ≥ 15 must have at least 3r + 2 vertices.

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عنوان ژورنال:
  • Discussiones Mathematicae Graph Theory

دوره 28  شماره 

صفحات  -

تاریخ انتشار 2008