New Formulas for the Mayer and Ree-Hoover Weights of Infinite Families of Graphs  

作　　者：Amel Kaouche 

机构地区：[1]Université de Moncton, Campus d’Edmundston, d’Edmundston, Canada

出　　处：《World Journal of Engineering and Technology》2019年第2期283-292,共10页世界工程和技术（英文）

摘　　要：The virial expansion, in statistical mechanics, makes use of the sums of the Mayer weight of all 2-connected graphs on n vertices. We study the Second Mayer weight ωM(c) and the Ree-Hoover weight ωRH(c) of a 2-connected graph c which arise from the hard-core continuum gas in one dimension. These weights are computed using signed volumes of convex polytopes naturally associated with the graph c. In the present work, we use the method of graph homomorphisms, to give new formulas of Mayer and Ree-Hoover weights for special infinite families of 2-connected graphs.The virial expansion, in statistical mechanics, makes use of the sums of the Mayer weight of all 2-connected graphs on n vertices. We study the Second Mayer weight ωM(c) and the Ree-Hoover weight ωRH(c) of a 2-connected graph c which arise from the hard-core continuum gas in one dimension. These weights are computed using signed volumes of convex polytopes naturally associated with the graph c. In the present work, we use the method of graph homomorphisms, to give new formulas of Mayer and Ree-Hoover weights for special infinite families of 2-connected graphs.

关 键 词：MAYER WEIGHT Ree-Hoover WEIGHT Graph INVARIANTS VIRIAL Expansion 

分 类 号：O1[理学—数学]