Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2012 (2012), Article ID 510180, 16 pages.
Graph Products and Its Applications in Mathematical Formulation of Structures
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.
J. Appl. Math., Volume 2012 (2012), Article ID 510180, 16 pages.
First available in Project Euclid: 7 May 2014
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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