Number of cycles of small length in a graph

AbstractLet 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 explici...

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Bibliographic Details
Main Authors: Sasmita Barik, Sane Umesh Reddy
Format: Article
Language:English
Published: Taylor & Francis Group 2023-05-01
Series:AKCE International Journal of Graphs and Combinatorics
Subjects:
Online Access:https://www.tandfonline.com/doi/10.1080/09728600.2023.2234421