A min-max result on catacondensed benzenoid graphs

نویسندگان

  • Sandi Klavzar
  • Petra Zigert
چکیده

The resonance graph of a benzenoid graph G has the 1-factors of G as vertices, two 1-factors being adjacent if their symmetric difference forms the edge set of a hexagon of G. It is proved that the smallest number of elementary cuts that cover a catacondensed benzenoid graph equals the dimension of a largest induced hypercube of its resonance graph.

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عنوان ژورنال:
  • Appl. Math. Lett.

دوره 15  شماره 

صفحات  -

تاریخ انتشار 2002