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...
Main Authors: | , |
---|---|
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 |