English

On the Number of cycles in a Graph

Combinatorics 2015-03-12 v3

Abstract

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 viv_{i} in a simple graph G, in terms of the adjacency matrix and with the help of combinatorics.

Keywords

Cite

@article{arxiv.1405.6272,
  title  = {On the Number of cycles in a Graph},
  author = {Nazanin Movarraei},
  journal= {arXiv preprint arXiv:1405.6272},
  year   = {2015}
}

Comments

22 pages, 59 figures