Computing Minimum Geodetic Sets of Proper Interval Graphs

被引：0
|
作者：
Ekim, Tinaz [1 ]
Erey, Aysel [1 ]
Heggernes, Pinar [2 ]
van 't Hof, Pim [2 ]
Meister, Daniel [3 ]
机构：
[1] Bogazici Univ, Istanbul, Turkey
[2] Univ Bergen, Bergen, Norway
[3] Univ Trier, Trier, Germany
来源：
LATIN 2012: THEORETICAL INFORMATICS | 2012年 / 7256卷
关键词：
NUMBERS;
D O I：
暂无
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 show that the geodetic number of proper interval graphs can be computed in polynomial time. This problem is NP-hard on chordal graphs and on bipartite weakly chordal graphs. Only an upper bound on the geodetic number of proper interval graphs has been known prior to our result.
引用
收藏
页码：279 / 290
页数：12
相关论文
共 50 条
  • [41] A note on the unit interval number and proper interval number of graphs
    Raychaudhuri, A
    ARS COMBINATORIA, 2000, 57 : 83 - 86
  • [42] The strong domination problem in block graphs and proper interval graphs
    Pal, Saikat
    Pradhan, D.
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2019, 11 (06)
  • [43] On Proper Labellings of Graphs with Minimum Label Sum
    Bensmail, Julien
    Fioravantes, Foivos
    Nisse, Nicolas
    COMBINATORIAL ALGORITHMS, IWOCA 2020, 2020, 12126 : 56 - 68
  • [44] On Proper Labellings of Graphs with Minimum Label Sum
    Bensmail, Julien
    Fioravantes, Foivos
    Nisse, Nicolas
    ALGORITHMICA, 2022, 84 (04) : 1030 - 1063
  • [45] On Proper Labellings of Graphs with Minimum Label Sum
    Julien Bensmail
    Foivos Fioravantes
    Nicolas Nisse
    Algorithmica, 2022, 84 : 1030 - 1063
  • [46] Total Roman domination for proper interval graphs
    Poureidi, Abolfazl
    ELECTRONIC JOURNAL OF GRAPH THEORY AND APPLICATIONS, 2020, 8 (02) : 401 - 413
  • [47] A NEW CHARACTERIZATION OF PROPER INTERVAL-GRAPHS
    JACKOWSKI, Z
    DISCRETE MATHEMATICS, 1992, 105 (1-3) : 103 - 109
  • [48] The Roberts characterization of proper and unit interval graphs
    Gardi, Frederic
    DISCRETE MATHEMATICS, 2007, 307 (22) : 2906 - 2908
  • [49] Simultaneous Representation of Proper and Unit Interval Graphs
    Rutter, Ignaz
    Strash, Darren
    Stumpf, Peter
    Vollmer, Michael
    27TH ANNUAL EUROPEAN SYMPOSIUM ON ALGORITHMS (ESA 2019), 2019, 144
  • [50] Weakly toll convexity and proper interval graphs
    Dourado, Mitre C.
    Gutierrez, Marisa
    Protti, Fabio
    Tondato, Silvia
    DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE, 2024, 26 (02):
12345