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Akram Hakiri,Aniruddha Gokhale,Nicolae TapusKnown in statistical physics as the partition function of a hard core model, the independence polynomial of a graph is a far-reaching extension of the matching polynomial, demonstrating a much more complicated behavior.Antecedent 发表于 2025-3-24 02:30:01
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Introduction,What is a partition function? The answer depends on who you ask. You get one (multi)set of answers if you ask physicists, and another (multi)set if you ask mathematicians (we allow multisets, in case we want to account for the popularity of each answer).恫吓 发表于 2025-3-24 14:19:03
The Independence Polynomial,Known in statistical physics as the partition function of a hard core model, the independence polynomial of a graph is a far-reaching extension of the matching polynomial, demonstrating a much more complicated behavior.占卜者 发表于 2025-3-24 17:31:29
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0937-5511 to statistical physics phenomena.Includes supplementary mate.Partition functions arise in combinatorics and related problems of statistical physics as they encode in a succinct way the combinatorial structure of complicated systems. The main focus of the book is on efficient ways to compute (approx饶舌的人 发表于 2025-3-25 02:21:44
https://doi.org/10.1007/978-3-319-73981-6 Prékopa–Leindler inequality for integrals and the capacity of polynomials with non-negative real coefficients as a way to estimate a particular coefficient of a multivariate polynomial by solving a convex optimization problem.