English

Hamilton and long cycles in $t$-tough graphs with $t>1$

Combinatorics 2012-03-19 v1

Abstract

It is proved that if GG is a tt-tough graph of order nn and minimum degree δ\delta with t>1t>1 then either GG has a cycle of length at least min{n,2δ+4}\min\{n,2\delta+4\} or GG is the Petersen graph.

Keywords

Cite

@article{arxiv.1202.6556,
  title  = {Hamilton and long cycles in $t$-tough graphs with $t>1$},
  author = {Zh. G. Nikoghosyan},
  journal= {arXiv preprint arXiv:1202.6556},
  year   = {2012}
}

Comments

19 pages. arXiv admin note: text overlap with arXiv:1201.1551 and arXiv:1201.6330