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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/510180 |
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| author | M. Nouri S. Talatahari A. Salimi Shamloo |
| author_facet | M. Nouri S. Talatahari A. Salimi Shamloo |
| author_sort | M. Nouri |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-5de390833b3449ec860d2ecb12e3028e |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-5de390833b3449ec860d2ecb12e3028e2025-08-20T02:06:03ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/510180510180Graph Products and Its Applications in Mathematical Formulation of StructuresM. Nouri0S. Talatahari1A. Salimi Shamloo2Department of Structural Engineering, Islamic Azad University, Shabestar Branch, Shabestar, IranMarand Faculty of Engineering, University of Tabriz, Tabriz 51667 71719, IranDepartment of Mathematics, Islamic Azad University, Shabestar Branch, Shabestar, IranThe 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.http://dx.doi.org/10.1155/2012/510180 |
| spellingShingle | M. Nouri S. Talatahari A. Salimi Shamloo Graph Products and Its Applications in Mathematical Formulation of Structures Journal of Applied Mathematics |
| title | Graph Products and Its Applications in Mathematical Formulation of Structures |
| title_full | Graph Products and Its Applications in Mathematical Formulation of Structures |
| title_fullStr | Graph Products and Its Applications in Mathematical Formulation of Structures |
| title_full_unstemmed | Graph Products and Its Applications in Mathematical Formulation of Structures |
| title_short | Graph Products and Its Applications in Mathematical Formulation of Structures |
| title_sort | graph products and its applications in mathematical formulation of structures |
| url | http://dx.doi.org/10.1155/2012/510180 |
| work_keys_str_mv | AT mnouri graphproductsanditsapplicationsinmathematicalformulationofstructures AT stalatahari graphproductsanditsapplicationsinmathematicalformulationofstructures AT asalimishamloo graphproductsanditsapplicationsinmathematicalformulationofstructures |