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|a Zhao, Yufei
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Zhao, Yufei
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|a Zhao, Yufei
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|a The Bipartite Swapping Trick on Graph Homomorphisms
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|b Society for Industrial and Applied Mathematics,
|c 2011-09-28T19:02:19Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/66106
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|a 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 work of Galvin and Tetali, who studied the number of graph homomorphisms from G to H when G is bipartite. We also apply our techniques to graph colorings and stable set polytopes.
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|a Massachusetts Institute of Technology. Undergraduate Research Opportunities Program
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|a en_US
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|a Article
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|t SIAM Journal on Discrete Mathematics
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