Regular Bipartite Lattices with Large Values of Theta2,2,2/C4
Abstract
The quantities C4 and Theta2,2,2 are as defined by Wanless, C4 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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