Random hypergraphs and topological gelation criterion for crosslinked polymer systems
type: Item
instance of: scholarly article
title: Random hypergraphs and topological gelation criterion for crosslinked polymer systems
zbMATH Open document ID: 0633.05054
DOI: 10.1016/0166-218X(88)90019-4
author: Włodzimierz Klonowski
published in: Discrete Applied Mathematics
publication date: 1988-01-01T00:00:00Z
review text: A class of hypergraphs, named polygraphs, especially suitable for modelling polymer systems, is defined and we discuss in detail the conditions which give rise to the Giant Component in the polygraph. This problem is analogous to gel formation in a crosslinked polymer system. To this end an equivalence class of polygraphs with given connectivity is defined and characterized by a specially introduced probabilistic representation. Our Topological Gelation Criterion is applicable to systems that may be far from thermodynamic equilibrium and need not necessarily be random. The criterion applies to polymers, superpolymers, cell aggregates, immunocytochemical systems and other systems.
Mathematics Subject Classification ID: 05C65
Mathematics Subject Classification ID: 05C80
Mathematics Subject Classification ID: 92Exx
zbMATH DE Number: 4029624
zbMATH Keywords: hypergraphs
zbMATH Keywords: polygraphs
zbMATH Keywords: polymer systems
MaRDI profile type: Publication
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full work available at URL: 0166-218x(88)90019-4
OpenAlex ID: W2053134648
description: scientific article; zbMATH DE number 4029624