Article citationsMore>>

Kaouche, A. and Labelle, G. (2008) Mayer Polytopes and Divided Differences, Congrès Combinatorial Identities and Their Applications in Statistical Mechanics. Isaac Newton Institute de l’Université de Cambridge, en Angleterre.
http://www.newton.ac.uk/webseminars/pg+ws/2008/csm/csmw03

has been cited by the following article:

• TITLE: Other Formulas for the Ree-Hoover and Mayer Weights of Families of 2-Connected Graphs

  AUTHORS: Amel Kaouche

  KEYWORDS: Combinatorial, Mayer Weight, Statistical Mechanics, Ree-Hoover Weight, Graph Invariants, Virial Expansion

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.8, August 19, 2019

  ABSTRACT: We study graph weights which naturally occur in Mayer’s theory and Ree-Hoover’s theory for the virial expansion in the context of an imperfect gas. We pay particular attention to the Mayer weight and Ree-Hoover weight of a 2-connected graph in the case of the hard-core continuum gas in one dimension. These weights are calculated from signed volumes of convex polytopes associated with the graph. In the present paper, we use the method of graph homomorphisms, to develop other explicit formulas of Mayer weights and Ree-Hoover weights for infinite families of 2-connected graphs.