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Roughness in Cayley graphs

Title
Roughness in Cayley graphs
Type
Article in International Scientific Journal
Year
2010
Authors
Shahzamanian, MH
(Author)
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Shirmohammadi, M
(Author)
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Davvaz, B
(Author)
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Journal
Title: Information SciencesImported from Authenticus Search for Journal Publications
Vol. 180
Pages: 3362-3372
ISSN: 0020-0255
Publisher: Elsevier
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Authenticus ID: P-00Q-YFH
Abstract (EN): In this paper, rough approximations of Cayley graphs are studied, and rough edge Cayley graphs are introduced. Furthermore, a new algebraic definition for pseudo-Cayley graphs containing Cayley graphs is proposed, and a rough approximation is expanded to pseudo-Cayley graphs. In addition, rough vertex pseudo-Cayley graphs and rough pseudo-Cayley graphs are introduced. Some theorems are provided from which properties such as connectivity and optimal connectivity are derived. This approach opens new research fields, such as data networks.
Language: English
Type (Professor's evaluation): Scientific
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