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Estimating the Traffic on Weighted Cactus Networks in Linear Time
London, England July 06-July 08
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/IV.2005.48Ninth International Conference on Inf ...
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Blaž Zmazek, University of Maribor and IMFM
Janez Žerovnik, University of Maribor and IMFM
A communication network can be modeled by a graph with weighted vertices and edges corresponding to the amount of traffic from sources and expected delays at links. We give a linear algorithm for computing the sum of all delays on a weighted cactus graphs. Cactus is a graph in which every edge lies on at most one cycle. The sum of delays is equivalent to the weighted Wiener number, a well known graph invariant in mathematical chemistry. Complexity of computing Wiener polynomial on cacti is discussed.
Citation:
Blaž Zmazek, Janez Žerovnik, "Estimating the Traffic on Weighted Cactus Networks in Linear Time," iv, pp.536-541, Ninth International Conference on Information Visualisation (IV'05), 2005
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