Journal of Applied Mathematics

Graph Products and Its Applications in Mathematical Formulation of Structures

M. Nouri, S. Talatahari, and A. Salimi Shamloo

Full-text: Open access

Abstract

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 510180, 16 pages.

Dates
First available in Project Euclid: 7 May 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1399490203

Digital Object Identifier
doi:10.1155/2012/510180

Mathematical Reviews number (MathSciNet)
MR3005232

Zentralblatt MATH identifier
1266.05170

Citation

Nouri, M.; Talatahari, S.; Shamloo, A. Salimi. Graph Products and Its Applications in Mathematical Formulation of Structures. J. Appl. Math. 2012 (2012), Article ID 510180, 16 pages. doi:10.1155/2012/510180. https://projecteuclid.org/euclid.jam/1399490203


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