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Counting Subgraphs via Homomorphisms

2012
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SIAM Journal on Discrete Mathematics
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We introduce a generic approach for counting subgraphs in a graph. The main idea is to relate counting subgraphs to counting graph homomorphisms. This approach provides new algorithms and unifies several well known results in algorithms and combinatorics including the recent algorithm of Björklund, Husfeldt and Koivisto for computing the chromatic polynomial, the classical algorithm of Kohn, Gottlieb, Kohn, and Karp for counting Hamiltonian cycles, Ryser's formula for counting perfect matchings

doi:10.1137/100789403
fatcat:igr4ivf2z5gg3h3zabvnwnfifm