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Graph Products and Its Applications in Mathematical Formulation of Structures

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  • M. Nouri
  • S. Talatahari
  • A. Salimi Shamloo

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.

Suggested Citation

  • M. Nouri & S. Talatahari & A. Salimi Shamloo, 2012. "Graph Products and Its Applications in Mathematical Formulation of Structures," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-16, December.
    • Handle: RePEc:hin:jnljam:510180
    DOI: 10.1155/2012/510180
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    Cited by:

    1. Maddah, Sheyda & Ghorbani, Modjtaba & Dehmer, Matthias, 2021. "New results of identifying codes in product graphs," Applied Mathematics and Computation, Elsevier, vol. 410(C).

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