On Mixed Connectivity Certificates

نویسندگان

  • Shimon Even
  • Gene Itkis
  • Sergio Rajsbaum
چکیده

Vertex and edge connectivity are special cases of mixed connectivity, in which all edges and a specified set of vertices play a similar role. Certificates of k-connectivity for a graph are obtained by removing a subset of its edges, while preserving its connectivity up to k. We unify the previous work on connectivity certificates and extend it to handle mixed connectivity and multigraphs. Our treatment contributes a new insight of the pertinent structures, yielding more general results and simpler proofs. Also, we present the first co~unicationoptimal dis~buted algo~thm for finding mixed connectivi~ certificates. @ 1998 Published by Etsevier Science B.V. All rights reserved Krywor&: Connectivity certificates; Mixed connectivity; Distributed algorithm

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عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 203  شماره 

صفحات  -

تاریخ انتشار 1998