Maximum Directed Cuts in Digraphs with Degree Restriction

被引:9
作者
Lehel, Jenoe [1 ,2 ]
Maffray, Frederic [3 ]
Preissmann, Myriam [3 ]
机构
[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA
[2] Hungarian Acad Sci, Comp & Automat Res Inst, Budapest, Hungary
[3] Lab G Scop, CNRS, F-38031 Grenoble 1, France
关键词
directed cut; maximum cut; directed cut and acyclic graphs; extremal problems; GRAPHS;
D O I
10.1002/jgt.20374
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For integers m, k >= 1,we investigate the maximum size of a directed cut in directed graphs in which there are m edges and each vertex has either indegree at most k or outdegree at most k. (C) 2009 Wiley Periodicals, Inc. J Graph Theory 61: 140-156, 2009
引用
收藏
页码:140 / 156
页数:17
相关论文
共 12 条
  • [1] Maximum directed cuts in acyclic digraphs
    Alon, Noga
    Bollobas, Bela
    Gyarfas, Andras
    Lehel, Jeno
    Scott, Alex
    [J]. JOURNAL OF GRAPH THEORY, 2007, 55 (01) : 1 - 13
  • [2] AMINI O, 2006, JOURN GRAPH ALG ORL
  • [3] Berman P., 1999, Automata, Languages and Programming. 26th International Colloquium, ICALP'99. Proceedings (Lecture Notes in Computer Science Vol.1644), P200
  • [4] LARGEST BIPARTITE SUBGRAPHS IN TRIANGLE-FREE GRAPHS WITH MAXIMUM DEGREE 3
    BONDY, JA
    LOCKE, SC
    [J]. JOURNAL OF GRAPH THEORY, 1986, 10 (04) : 477 - 504
  • [5] BRANDT R, 2005, J INTERCONNECTION NE, V6, P383
  • [6] CROPPER M, 2000, CAHIERS LAB LEIBNIZ, V17
  • [7] Diestel R., 1997, GRADUATE TEXTS MATH, V173
  • [8] On incidence coloring and star arboricity of graphs
    Guiduli, B
    [J]. DISCRETE MATHEMATICS, 1997, 163 (1-3) : 275 - 278
  • [9] MAX CUT in cubic graphs
    Halperin, E
    Livnat, D
    Zwick, U
    [J]. JOURNAL OF ALGORITHMS-COGNITION INFORMATICS AND LOGIC, 2004, 53 (02): : 169 - 185
  • [10] TRIANGLE-FREE PARTIAL GRAPHS AND EDGE COVERING-THEOREMS
    LEHEL, J
    TUZA, Z
    [J]. DISCRETE MATHEMATICS, 1982, 39 (01) : 59 - 65