期刊文献+

K(1,4)-自由的模k泛圈图(英文) 被引量:2

Pancyclicity Mod k of K_(1,4)-free Graphs
下载PDF
导出
摘要 设G是2-连通的K1,4自由图.本文证明了当δ(G)≥k+1时,G是模k泛圈图.这一结果肯定了猜想2,继而也肯定了Thomassen猜想在2-连通图中的正确性. In this paper, we show that every 2-connected K1,4-free graph G with minimum degree δ(G) ≥ k + 1 is pancyclic mod k, which confirms Conjecture 2 for 2-connected graphs , so Thomassen's conjecture for 2-connected K1,4-free graphs at once.
出处 《数学进展》 CSCD 北大核心 2005年第2期221-232,共12页 Advances in Mathematics(China)
基金 Foundation item: This research is supported by Natural Scientific Research Foundation of Inner Monglia(No.20020802102).
关键词 泛圈图 自由 2-连通图 正确性 猜想 pancyclic modulo k H-free
  • 相关文献

参考文献6

  • 1Bondy J A, Murty U S R. Graph Theory with Applications [M]. Macmillan Press London, 1976.
  • 2Dean N. Which graphs are pancyclic modulo k?, Offprints from Graph Theory, Combinatorics, and Applications [M]. 1991, Vol. 2, (eds. by Y. Alavi, G. Chartrand, O.R. Ollermann, and A.J. Schwenk).
  • 3Chen Guantao, Saito A. Graphs with a cycle of length divisible by three [J]. J. Combinat. Theory, Series B, 1994, 60: 277-292.
  • 4Cai Xiaotao, Shreve W. (1 mod 3)-cycles [J]. preprint.
  • 5Thomassen C. Graph decomposition with applications to subdivisions and path systems modulo k [J]. J.Graph Theory, 1983, 7: 261-271.
  • 6Cai Xiaotao, Shreve W. Pancyclicty mod k of claw-free graphs and K1,4-free graphs [J]. Discrete Mathematics,2001, 230: 113-118.

同被引文献6

  • 1Bondy J A,Murty U S R.Graph Theory with Applications[M].London:Macmillan Press,1976.
  • 2Thomassen C.Graph decomposition with application to subdivisions and path system modulo k[J].J Graph Theory,1983(7):261-271.
  • 3Xiaotao Cai,Warren E Shreve.Pancyclicity mod k of claw-free graph and K1,4-free graphs[J].Discrete mathematics,2001,23(1):113-118.
  • 4Bondy J A,Murty U S R.Graph Theory with Applications[M].London:Macmillan Press,1976.
  • 5Cai Xiaotao,Shreve W.Pancyclity mod k claw-free graphs and K1,4-free graphs[J].Discrete Mathematics,2001,230:113-118.
  • 6Xiaotao Cai,Warren E Shreve.Pancyclicity mod k of claw-free graph and K1,4-free graphs[J].Discrete mathematics,2001,23(1):113-118.

引证文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部