Regular Bipartite Lattices with Large Values of Theta_2,2,2/C_4
Combinatorics
2018-01-23 v4 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1712.00613,
title = {Regular Bipartite Lattices with Large Values of Theta_2,2,2/C_4},
author = {Paul Federbush},
journal= {arXiv preprint arXiv:1712.00613},
year = {2018}
}
Comments
4 pages, a better counterexample, a 3-d lattice, asks: what is a lattice in statistical mechanics