Generating the acyclic orientations of a graph

被引:13
|
作者
Squire, MB [1 ]
机构
[1] IBM Corp, Dept C8KA, Res Triangle Pk, NC 27709 USA
基金
美国国家科学基金会;
关键词
D O I
10.1006/jagm.1997.0891
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The acyclic orientations of a graph are related to its chromatic polynomial to its reliability, and to certain hyperplane arrangements. In this paper, an algorithm for listing the acyclic orientations of a graph is presented. The algorithm is shown to require O(n) time per acyclic orientation generated. This is the most efficient algorithm known for generating acyclic orientations. (C) 1998 Academic Press.
引用
收藏
页码:275 / 290
页数:16
相关论文
共 50 条
  • [41] Graph Orientations and Linear Extensions
    Iriarte, Benjamin
    MATHEMATICS OF OPERATIONS RESEARCH, 2017, 42 (04) : 1219 - 1229
  • [42] The generating function of planar Eulerian orientations
    Bousquet-Melou, Mireille
    Price, Andrew Elvey
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2020, 172
  • [43] Distributed Black Virus Decontamination and Rooted Acyclic Orientations
    Cai, Jie
    Flocchini, Paola
    Santoro, Nicola
    CIT/IUCC/DASC/PICOM 2015 IEEE INTERNATIONAL CONFERENCE ON COMPUTER AND INFORMATION TECHNOLOGY - UBIQUITOUS COMPUTING AND COMMUNICATIONS - DEPENDABLE, AUTONOMIC AND SECURE COMPUTING - PERVASIVE INTELLIGENCE AND COMPUTING, 2015, : 1682 - 1689
  • [44] Approximating the number of acyclic orientations for a class of sparse graphs
    Bordewich, M
    COMBINATORICS PROBABILITY & COMPUTING, 2004, 13 (01): : 1 - 16
  • [45] Enumeration of Golomb Rulers and Acyclic Orientations of Mixed Graphs
    Beck, Matthias
    Bogart, Tristram
    Tu Pham
    ELECTRONIC JOURNAL OF COMBINATORICS, 2012, 19 (03):
  • [46] Zigzagging through acyclic orientations of chordal graphs and hypergraphs
    Cardinal, Jean
    Hoang, Hung P.
    Merino, Arturo
    Mutze, Torsten
    PROCEEDINGS OF THE 2023 ANNUAL ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS, SODA, 2023, : 3029 - 3042
  • [47] Analyzing directed acyclic graph recombination
    Cotta, C
    Troya, JM
    COMPUTATIONAL INTELLIGENCE: THEORY AND APPLICATIONS, PROCEEDINGS, 2001, 2206 : 739 - 748
  • [48] Implementation of directed acyclic word graph
    Balík, M
    KYBERNETIKA, 2002, 38 (01) : 91 - 103
  • [49] Acyclic Word Graph for Web Clustering
    Moghrabi, Issam A. R.
    WORLD CONGRESS ON ENGINEERING AND COMPUTER SCIENCE, WCECS 2012, VOL I, 2012, : 477 - 481
  • [50] Acyclic colorings of graph subdivisions revisited
    Mondal, Debajyoti
    Nishat, Rahnuma Islam
    Whitesides, Sue
    Rahman, Md. Saidur
    JOURNAL OF DISCRETE ALGORITHMS, 2012, 16 : 90 - 103