On restricted edge-connectivity of graphs

نویسندگان

  • Jun-Ming Xu
  • Ke-Li Xu
چکیده

This paper considers the concept of restricted edge-connectivity, and relates that to the edgedegree of a connected graph. The author gives some necessary conditions for a graph whose restricted edge-connectivity is smaller than its minimum edge-degree, then uses these conditions to show some large classes of graphs, such as all connected edge-transitive graphs except a star, and all connected vertex-transitive graphs with odd order or without triangles, have equality of the restricted edge-connectivity and the minimun edge-degree. c © 2002 Elsevier Science B.V. All rights reserved. MSC: 05C40

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عنوان ژورنال:
  • Discrete Mathematics

دوره 243  شماره 

صفحات  -

تاریخ انتشار 2002