2013 17th International Conference on Information Visualisation (2007)

Zurich, Switzerland

July 4, 2007 to July 6, 2007

ISSN: 1550-6037

ISBN: 0-7695-2900-3

pp: 751-756

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/IV.2007.84

Hovhannes Harutyunyan , Concordia University

Xiangyang Xu , Concordia University

ABSTRACT

Broadcast algorithms are are very important in parallel and distributed computing. In this paper we design new sparce graphs and present a minimum time broadcast algorithms from any vertex of these graphs. A broadcast graph on n vertices is a graph which allows any vertex to broadcast in time dlog ne. A minimum broadcast graph on n vertices is a broadcast graph with the minimum number of edges over all broadcast graphs on n vertices. This minimum number of edges is denoted by B(n). Many papers have presented methods to construct broadcast graphs. Here we present a method to construct a broadcast graph on n + 1 vertices by adding a vertex to a broadcast graph on n vertices. Our general upper bound on B(n) improves the best known upper bounds for almost all odd values of n. Our broadcast algorithms are simple. Our new broadcast graphs can be combined using some of the known methods to obtain further improvements.

INDEX TERMS

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CITATION

Hovhannes Harutyunyan,
Xiangyang Xu,
"New Construction of Broardcast Graphs",

*2013 17th International Conference on Information Visualisation*, vol. 00, no. , pp. 751-756, 2007, doi:10.1109/IV.2007.84