Graph products and its applications in mathematical formulation of structures
type: Item
instance of: scholarly article
title: Graph products and its applications in mathematical formulation of structures
zbMATH Open document ID: 1266.05170
DOI: 10.1155/2012/510180
author: Yanyan Li
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: The first step in the analysis of a structure is to generate its configuration. Different means are available for this purpose. The use of graph products is an example of such tools. In this paper, the use of product graphs is extended for the formation of different types of structural models. Here weighted graphs are used as the generators and the connectivity properties of different models are expressed in terms of the properties of their generators through simple algebraic relationships. In this paper by using graph product concepts and spatial structured matrices, a new algebraic closed form is proposed for mathematical formulation and presentation of structures. For clarification some examples are included.
Mathematics Subject Classification ID: 05C90
Mathematics Subject Classification ID: 05C76
zbMATH DE Number: 6169929
zbMATH Keywords: graph product concepts
zbMATH Keywords: sparial structure matrices
zbMATH Keywords: structures
zbMATH Keywords: product graphs
zbMATH Keywords: weighted graphs
zbMATH Keywords: connectivity properties
zbMATH Keywords: algebraic closed form
Wikidata QID: Q58906036
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/510180
OpenAlex ID: W2013346178
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DBLP publication ID: journals/jam/NouriTS12
description: scientific article; zbMATH DE number 6169929