Short cycles in digraphs

Tsuyoshi Nishimura

研究成果: Article

16 引用 (Scopus)

抄録

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.

元の言語English
ページ（範囲）295-298
ページ数4
ジャーナルDiscrete Mathematics
巻72
発行部数1-3
DOI
出版物ステータスPublished - 1988
外部発表Yes

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science

これを引用

Short cycles in digraphs. / Nishimura, Tsuyoshi.

：: Discrete Mathematics, 巻 72, 番号 1-3, 1988, p. 295-298.

研究成果: Article

Nishimura, T 1988, 'Short cycles in digraphs', Discrete Mathematics, 巻. 72, 番号 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. ：: Discrete Mathematics. 1988 ; 巻 72, 番号 1-3. pp. 295-298.
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