Short cycles in digraphs

Tsuyoshi Nishimura

Research output: Contribution to journal › Article

16 Citations (Scopus)

Abstract

Caccetta and Häggkvist [1] conjectured that every digraph with n vertices and minimum outdegree k contains a directed cycle of length at most {plus 45 degree rule}n/k. With regard to this conjecture, Chvátal and Szemerédi [2] proved that if G is a digraph with n vertices and if each of these vertices has outdegree at least k, then G contains a cycle of length at most (n/k) + 2500. Our result is an improvement of this result.

Original languageEnglish
Pages (from-to)295-298
Number of pages4
JournalDiscrete Mathematics
Volume72
Issue number1-3
DOIs
Publication statusPublished - 1988
Externally publishedYes

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science

Cite this

Short cycles in digraphs. / Nishimura, Tsuyoshi.

In: Discrete Mathematics, Vol. 72, No. 1-3, 1988, p. 295-298.

Research output: Contribution to journal › Article

Nishimura, T 1988, 'Short cycles in digraphs', Discrete Mathematics, vol. 72, no. 1-3, pp. 295-298. https://doi.org/10.1016/0012-365X(88)90219-1
Nishimura T. Short cycles in digraphs. Discrete Mathematics. 1988;72(1-3):295-298. https://doi.org/10.1016/0012-365X(88)90219-1
Nishimura, Tsuyoshi. / Short cycles in digraphs. In: Discrete Mathematics. 1988 ; Vol. 72, No. 1-3. pp. 295-298.
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