A minimum broadcast graph on 26 vertices

نویسندگان

  • Jian-guo Zhou
  • Ke-min Zhang
چکیده

Broadcasting is the process of information dissemination in a communication network in which a message, originated by one member, is transmitted to all members of the network. A broadcast graph is a graph which permits broadcasting from any originator in minimum time. The broadcast function B(n) is the minimum number of edges in any broadcast graph on n vertices. In this paper, we construct a broadcast graph on 26 vertices with 42 edges to prove B(26) = 42. @ 2001 Elsevier Science Ltd. All rights reserved. Keywords-Broadcast graph, Communication network, Minimum broadcast graph.

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عنوان ژورنال:
  • Appl. Math. Lett.

دوره 14  شماره 

صفحات  -

تاریخ انتشار 2001