Regular Bipartite Lattices with Large Values of Theta₂,2,2/C₄

2017/12/02 by Paul Federbush, Federbush, Paul
Computer Science · #Advanced Algebra and Logic #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.1712.00613

openalex publication_date 2017/12/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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