Seminari di Matematica Discreta
Dipartimento di Matematica "Francesco Brioschi" -- Politecnico di Milano
Piazza Leonardo da Vinci, 32 -- 20133 Milano, Italy
Istituto di Matematica Applicata e Tecnologie Informatiche -- CNR IMATI
Via Bassini, 15 -- 20133 Milano, Italy

Relatore: Pierre Leroux (Université du Québec a Montréal)
Titolo: Emumerative problems inspired by Mayer's theory of cluster integrals in thermodynamics
Sunto: The basic functional equations for connected and 2-connnected graphs can be traced back to the statistical physicists Mayer and Husimi. They play an essential role in establishing rigorously the virial expansion for imperfect gases. Inspired by these equations, we investigate the problem of enumerating some classes of connected graphs all of whose blocks are contained in a given class B. Included are the species of Husimi graphs (B = "complete graphs"), cacti (B = "unoriented cycles"), and oriented cacti (B = "oriented cycles"). For each of these, we consider the question of their labelled or unlabelled enumeration and of their molecular expansion, according (or not) to their block-size distributions.
Luogo: Auletta interna (316) del terzo piano del Dipartimento di Matematica "Francesco Brioschi", Politecnico di Milano, via Bonardi n. 9 (edificio "La Nave", entrata da Meccanica)
Data: Venerdì 26 Settembre 2003
Ora: 11:30
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