DOAJ Open Access 2008

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

Amel Kaouche Pierre Leroux

Lihat Sumber DOI

Abstrak

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.

Topik & Kata Kunci

Mathematics

Penulis (2)

Amel Kaouche

Pierre Leroux

Format Sitasi

APA MLA BibTeX

Kaouche, A., Leroux, P. (2008). Graph weights arising from Mayer and Ree-Hoover theories of virial expansions. https://doi.org/10.46298/dmtcs.3646

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.3646

Informasi Jurnal

Tahun Terbit: 2008
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.3646
Akses: Open Access ✓