Hypergraph Models for Cellular Mobile Communication Systems
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Cellular systems have hitherto been modeled mostly by graphs for the purpose of channel assignment. However, hypergraph modeling of cellular systems offers a significant advantage over graph modeling in terms of the total traffic carried by the system. For example, we show that a 37-cell system when modeled by a hypergraph carries around 30% more traffic than when modeled by a graph. We study the performance of channelized cellular systems modeled by hypergraphs in comparison with those modeled by graphs. For this purpose, we have evaluated the capacities of these cellular networks defined [3]. Evaluation of the capacity necessitates generation of maximal independent sets of hypergraphs. We describe some new algorithms that we have developed for this purpose.
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Copyright 1998 IEEE. Reprinted from IEEE Transactions on Vehicular Technology, Volume 47, Issue 2, May 1998, pages 460-471. Publisher URL: http://ieeexplore.ieee.org/xpl/tocresult.jsp?isNumber=14756&puNumber=25 This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Pennsylvania's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it. NOTE: At the time of publication, author Saswati Sarkar was affiliated with the Indian Institute of Science. Currently (February 2005), she is a faculty member in the Department of Electrical and Systems Engineering at the University of Pennsylvania.