Edge-superconnectivity of semiregular cages with odd girth

نویسندگان

  • Camino Balbuena
  • Diego González-Moreno
  • Julián Salas
چکیده

A graph is said to be edge-superconnected if each minimum edge-cut consists of all the edges incident with some vertex of minimum degree. A graph G is said to be a {d, d + 1}semiregular graph if all its vertices have degree either d or d+1. A smallest {d, d+1}-semiregular graph G with girth g is said to be a ({d, d+1}; g)-cage. We show that every ({d, d+1}; g)-cage with odd girth g is edge-superconnected.

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عنوان ژورنال:
  • Networks

دوره 58  شماره 

صفحات  -

تاریخ انتشار 2011