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arXiv · 1712.00613

Regular Bipartite Lattices with Large Values of Theta_2,2,2/C_4

Paul Federbush
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Abstract

The quantities C_4 and Theta_2,2,2 are as defined by Wanless, C_4 just the number of 4-loops of a graph. The construction of this paper provides a counterexample to a conjecture of Butera, Pernici, and the author about the monomer-dimer entropy, lambda, of a regular bipartite lattice. The lattice we construct is not a lattice graph in its most common definition.

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Paul Federbush. 2018-01-22. Regular Bipartite Lattices with Large Values of Theta_2,2,2/C_4. https://arxiv.org/abs/1712.00613

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