Abstract
Graph theory is a useful tool to solve some problems in wireless communications, such as resource allocation [1], scheduling [2], and routing [3], etc. However, the conception of edge in graph theory can only model the pairwise relation, which might not be sufficient to model the multiple users relation. To model the relation among multiple users more accurately, such as cumulative interference, we introduce the hypergraph theory [4] which allows any subsets of the vertices set to be a hyperedge, instead of exactly two vertices defined in traditional graph.
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Zhang, H., Song, L., Han, Z., Zhang, Y. (2018). Basics of Hypergraph Theory. In: Hypergraph Theory in Wireless Communication Networks. SpringerBriefs in Electrical and Computer Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-60469-5_1
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DOI: https://doi.org/10.1007/978-3-319-60469-5_1
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