[a,b]-factors of graphs on surfaces

Ryota Matsubara, Haruhide Matsuda, Nana Matsuo, Kenta Noguchi, Kenta Ozeki

研究成果: Article

抄録

A well-known conjecture of Grünbaum (1970) and Nash-Williams (1971) asserts that every 4-connected toroidal graph has a Hamiltonian cycle. Related to this conjecture, Kawarabayashi and Ozeki (2011) proved two results on a 2-factor and a 3-factor. In this paper, motivated by these results, we give several sufficient conditions for a graph embedded in a surface to have an [a,b]-factor. We also show that several conditions are best possible.

元の言語English
ページ(範囲)1979-1988
ページ数10
ジャーナルDiscrete Mathematics
342
発行部数7
DOI
出版物ステータスPublished - 2019 7 1

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Hamiltonians

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

これを引用

[a,b]-factors of graphs on surfaces. / Matsubara, Ryota; Matsuda, Haruhide; Matsuo, Nana; Noguchi, Kenta; Ozeki, Kenta.

:: Discrete Mathematics, 巻 342, 番号 7, 01.07.2019, p. 1979-1988.

研究成果: Article

Matsubara, R, Matsuda, H, Matsuo, N, Noguchi, K & Ozeki, K 2019, '[a,b]-factors of graphs on surfaces', Discrete Mathematics, 巻. 342, 番号 7, pp. 1979-1988. https://doi.org/10.1016/j.disc.2019.03.016
Matsubara, Ryota ; Matsuda, Haruhide ; Matsuo, Nana ; Noguchi, Kenta ; Ozeki, Kenta. / [a,b]-factors of graphs on surfaces. :: Discrete Mathematics. 2019 ; 巻 342, 番号 7. pp. 1979-1988.
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