English

Simple cycles

Combinatorics 2007-05-23 v1 Classical Analysis and ODEs

Abstract

We obtain sharp bounds for the number of n-cycles in a finite graph as a function of the number of edges, and prove that the complete graph is optimal in more ways than could be imagined. En route, we prove some sharp estimates on power sums.

Keywords

Cite

@article{arxiv.math/9910093,
  title  = {Simple cycles},
  author = {Igor Rivin},
  journal= {arXiv preprint arXiv:math/9910093},
  year   = {2007}
}

Comments

9 pages