Open Access
2012 Graph Products and Its Applications in Mathematical Formulation of Structures
M. Nouri, S. Talatahari, A. Salimi Shamloo
J. Appl. Math. 2012: 1-16 (2012). DOI: 10.1155/2012/510180


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.


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M. Nouri. S. Talatahari. A. Salimi Shamloo. "Graph Products and Its Applications in Mathematical Formulation of Structures." J. Appl. Math. 2012 1 - 16, 2012.


Published: 2012
First available in Project Euclid: 7 May 2014

zbMATH: 1266.05170
MathSciNet: MR3005232
Digital Object Identifier: 10.1155/2012/510180

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
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