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- W4385064978 abstract "Let G be a simple undirected graph. In this article, we obtain an explicit formula for the number of 8-cycles in G in terms of the entries of its adjacency matrix. We provide new formulae to find the number of cycles of length 4, 5 and 6 in G. When the girth of G is 10 (resp. 12), an explicit formula for the number of cycles of length 10 (resp. 12) is given. New formulae to find the number of paths of length 3, 4 and 5 in G are also obtained." @default.
- W4385064978 created "2023-07-23" @default.
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- W4385064978 date "2023-05-04" @default.
- W4385064978 modified "2023-09-27" @default.
- W4385064978 title "Number of cycles of small length in a graph" @default.
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- W4385064978 doi "https://doi.org/10.1080/09728600.2023.2234421" @default.
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