Upper bounds on the bisection width of 3-and 4-regular graphs

被引:0
|
作者
Monien, B [1 ]
Preis, R [1 ]
机构
[1] Univ Gesamthsch Paderborn, Dept Math & Comp Sci, D-33098 Paderborn, Germany
关键词
graph partitioning; bisection width; regular graphs; local improvement;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We derive new upper bounds on the bisection width of graphs which have a regular vertex degree. We show that the bisection width of large 3-regular graphs with \V\ vertices is at most 1/6\V\. For the bisection width of large 4-regular graphs we show an upper 6 bound of 2/5\V\.
引用
收藏
页码:524 / 536
页数:13
相关论文
共 50 条
  • [41] Sorting by reversals and the theory of 4-regular graphs
    Brijder, Robert
    THEORETICAL COMPUTER SCIENCE, 2017, 701 : 40 - 53
  • [42] 4-REGULAR PRIME GRAPHS OF NONSOLVABLE GROUPS
    Kasyoki, Donnie Munyao
    Oleche, Paul Odhiambo
    INTERNATIONAL JOURNAL OF GROUP THEORY, 2020, 9 (03) : 193 - 222
  • [43] Decycling Number of a class of 4-regular graphs
    Wei, Erling
    Liu, Jiangtao
    Ren, Han
    ARS COMBINATORIA, 2018, 139 : 315 - 326
  • [44] Even cycle decompositions of 4-regular graphs and line graphs
    Markstrom, Klas
    DISCRETE MATHEMATICS, 2012, 312 (17) : 2676 - 2681
  • [45] Tait's flyping conjecture for 4-regular graphs
    Sawollek, J
    JOURNAL OF COMBINATORIAL THEORY SERIES B, 2005, 95 (02) : 318 - 332
  • [46] Orthogonal double covers of 4-regular circulant graphs
    Sampathkumar, R.
    Sriram, V.
    UTILITAS MATHEMATICA, 2015, 98 : 85 - 95
  • [47] A note on X¯-coloring and Â-coloring 4-regular graphs
    Jooken, Jorik
    arXiv, 1600,
  • [48] Acyclic Edge Coloring of 4-Regular Graphs (II)
    Wang, Weifan
    Ma, Yulai
    Shu, Qiaojun
    Wang, Yiqiao
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (05) : 2047 - 2054
  • [49] SPLIT EULER TOURS IN 4-REGULAR PLANAR GRAPHS
    Couch, P. J.
    Daniel, B. D.
    Guidry, R.
    Wright, W. Paul
    DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2016, 36 (01) : 23 - 30
  • [50] The Number of Spanning Trees in 4-Regular Simple Graphs
    Sereni, Jean-Sebastien
    Yilma, Zelealem B.
    ELECTRONIC JOURNAL OF COMBINATORICS, 2024, 31 (04):