The Bipartite Swapping Trick on Graph Homomorphisms
We provide an upper bound to the number of graph homomorphisms from G to H, where H is a fixed graph with certain properties, and G varies over all N-vertex, d-regular graphs. This result generalizes a recently resolved conjecture of Alon and Kahn on the number of independent sets. We build on the w...
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Format: | Article |
Language: | English |
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Society for Industrial and Applied Mathematics,
2011-09-28T19:02:19Z.
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Online Access: | Get fulltext |