On the Number of cycles in a Graph

In this paper, we obtain explicit formulae for the number of 7-cycles and the total number of paths of lengths 6 and 7 those contain a specific vertex \(v_{i}\) in a simple graph G, in terms of the adjacency matrix and with the help of combinatorics.

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Published in:arXiv.org 2015-03
Main Author: Movarraei, Nazanin
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Language:English
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Combinatorial analysis
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description In this paper, we obtain explicit formulae for the number of 7-cycles and the total number of paths of lengths 6 and 7 those contain a specific vertex \(v_{i}\) in a simple graph G, in terms of the adjacency matrix and with the help of combinatorics.
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title On the Number of cycles in a Graph
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