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
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
  • [1] TRANSITIVE ORIENTATIONS OF GRAPHS
    BOLLOBAS, B
    BRIGHTWELL, G
    [J]. SIAM JOURNAL ON COMPUTING, 1988, 17 (06) : 1119 - 1133
  • [2] Counting restricted orientations of random graphs
    Collares, Mauricio
    Kohayakawa, Yoshiharu
    Morris, Robert
    Mota, Guilherme O.
    [J]. RANDOM STRUCTURES & ALGORITHMS, 2020, 56 (04) : 1016 - 1030
  • [3] Restricted edge connectivity of edge transitive graphs
    Zhang, Z
    Meng, JX
    [J]. ARS COMBINATORIA, 2006, 78 : 297 - 308
  • [4] Transitive orientations in bull-reducible Berge graphs
    de Figueiredo, Celina
    Maffray, Frederic
    Maciel, Claudia Villela
    [J]. DISCRETE APPLIED MATHEMATICS, 2011, 159 (07) : 561 - 573
  • [5] WEAKLY TRANSITIVE ORIENTATIONS, HASSE DIAGRAMS AND STRING GRAPHS
    MIDDENDORF, M
    PFEIFFER, F
    [J]. DISCRETE MATHEMATICS, 1993, 111 (1-3) : 393 - 400
  • [6] Arc-transitive abelian regular covering graphs
    Ma, Jicheng
    [J]. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2016, 26 (07) : 1369 - 1393
  • [7] Semi-transitive orientations and word-representable graphs
    Halldorsson, Magnus M.
    Kitaev, Sergey
    Pyatkin, Artem
    [J]. DISCRETE APPLIED MATHEMATICS, 2016, 201 : 164 - 171
  • [8] MAXIMUM K-COVERING OF WEIGHTED TRANSITIVE GRAPHS WITH APPLICATIONS
    SARRAFZADEH, M
    LOU, RD
    [J]. ALGORITHMICA, 1993, 9 (01) : 84 - 100
  • [9] On Super Restricted Edge Connectivity of Half Vertex Transitive Graphs
    Yingzhi Tian
    Jixiang Meng
    Xiaodong Liang
    [J]. Graphs and Combinatorics, 2012, 28 : 287 - 296
  • [10] 3-restricted edge connectivity of vertex transitive graphs
    Ou, JP
    Zhang, FJ
    [J]. ARS COMBINATORIA, 2005, 74 : 291 - 301