On transitive orientations with restricted covering graphs

被引：0
|
作者：
Dobson, Maria Patricia
Gutierrez, Marisa
Habib, Michel
Szwarcfiter, Jayme L. [1 ]
机构：
[1] Univ Fed Rio de Janeiro, Inst Matemat, NCE, Rio De Janeiro, Brazil
[2] Univ Fed Rio de Janeiro, COPPE, BR-21945 Rio De Janeiro, Brazil
[3] Univ Nacl Rosario, Dept Matemat, RA-2000 Rosario, Argentina
[4] Natl Univ La Plata, Dept Matemat, La Plata, Argentina
[5] Univ Paris 07, Lab Informat Algorithm Fondements & Applicat, Paris, France
来源：
INFORMATION PROCESSING LETTERS | 2007年 / 101卷 / 03期
关键词：
comparability graphs; combinatorial problems; modular decomposition;
D O I：
10.1016/j.ipl.2006.08.008
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider the problem of finding a transitive orientation of a comparability graph, such that the edge set of its covering graph contains a given subset of edges. We propose a solution which employs the classical technique of modular tree decomposition. The method leads to a polynomial time algorithm to construct such, an orientation or report that it does not exist. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：119 / 125
页数：7
相关论文
共 50 条
  • [41] Families of completely transitive codes and distance transitive graphs
    Borges, J.
    Rifa, J.
    Zinoviev, V. A.
    [J]. DISCRETE MATHEMATICS, 2014, 324 : 68 - 71
  • [42] VERTEX AND EDGE TRANSITIVE, BUT NOT 1-TRANSITIVE, GRAPHS
    BOUWER, IZ
    [J]. CANADIAN MATHEMATICAL BULLETIN, 1970, 13 (02): : 231 - &
  • [43] TRANSITIVE ORIENTATION OF GRAPHS AND IDENTIFICATION OF PERMUTATION GRAPHS
    PNUELI, A
    LEMPEL, A
    EVEN, S
    [J]. CANADIAN JOURNAL OF MATHEMATICS, 1971, 23 (01): : 160 - &
  • [44] Orientations of graphs and minimum degrees of graphs
    Lakshmi, R.
    [J]. ARS COMBINATORIA, 2010, 97A : 161 - 167
  • [45] Cores of Vertex Transitive Graphs
    Roberson, David E.
    [J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2013, 20 (02):
  • [46] End-transitive graphs
    Matthias Hamann
    [J]. Israel Journal of Mathematics, 2012, 189 : 437 - 459
  • [47] GRAPHS WITH TRANSITIVE AUTOMORPHISM GROUPS
    IMRICH, W
    [J]. MONATSHEFTE FUR MATHEMATIK, 1969, 73 (04): : 341 - &
  • [48] 6-TRANSITIVE GRAPHS
    CAMERON, PJ
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES B, 1980, 28 (02) : 168 - 179
  • [49] On normal quotients of transitive graphs
    Muzychuk, M
    [J]. ARS COMBINATORIA, 2001, 59 : 171 - 180
  • [50] On Making Directed Graphs Transitive
    Weller, Mathias
    Komusiewicz, Christian
    Niedermeier, Rolf
    Uhlmann, Johannes
    [J]. ALGORITHMS AND DATA STRUCTURES, 2009, 5664 : 542 - 553
12345