Skip to Main content Skip to Navigation
Conference papers

Graph weights arising from Mayer and Ree-Hoover theories of virial expansions

Abstract : We study graph weights (i.e., graph invariants) which arise naturally in Mayer's theory and Ree-Hoover's theory of virial expansions in the context of a non-ideal gas. We give special attention to the Second Mayer weight $w_M(c)$ and the Ree-Hoover weight $w_{RH}(c)$ 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 $c$. Among our results are the values of Mayer's weight and Ree-Hoover's weight for all $2$-connected graphs $b$ of size at most $8$, and explicit formulas for certain infinite families.
Complete list of metadata

Cited literature [9 references]  Display  Hide  Download

https://hal.inria.fr/hal-01185182
Contributor : Coordination Episciences Iam <>
Submitted on : Wednesday, August 19, 2015 - 11:44:36 AM
Last modification on : Tuesday, October 6, 2020 - 10:56:02 AM
Long-term archiving on: : Friday, November 20, 2015 - 10:42:43 AM

File

dmAJ0123.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-01185182, version 1

Collections

Citation

Amel Kaouche, Pierre Leroux. Graph weights arising from Mayer and Ree-Hoover theories of virial expansions. 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008), 2008, Viña del Mar, Chile. pp.259-270. ⟨hal-01185182⟩

Share

Metrics

Record views

86

Files downloads

594