CONNECTIVITY THRESHOLD FOR RANDOM CHORDAL GRAPHS

被引:11
|
作者
MCMORRIS, FR
SCHEINERMAN, ER
机构
[1] UNIV LOUISVILLE,DEPT MATH,LOUISVILLE,KY 40292
[2] JOHNS HOPKINS UNIV,DEPT MATH SCI,BALTIMORE,MD 21218
关键词
D O I
10.1007/BF01788142
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce a model for random chordal graphs. We determine the thresholds for: the first edge, completeness, isolated vertices and connectivity. Like the Erdos-Renyi model, the thresholds for isolated vertices and connectivity are the same. Unlike the Erdos-Renyi model in which the threshold occurs at 1/2 n log n edges, this threshold occurs at O(n2) edges.
引用
收藏
页码:177 / 181
页数:5
相关论文
共 50 条
  • [31] On resilience of connectivity in the evolution of random graphs
    Haller, Luc
    Trujic, Milos
    ELECTRONIC JOURNAL OF COMBINATORICS, 2019, 26 (02):
  • [32] CONNECTIVITY OF RANDOM CUBIC SUM GRAPHS
    Beveridge, Andrew
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 2010, 24 (03) : 895 - 909
  • [33] Connectivity in inhomogeneous random key graphs
    Yagan, Osman
    2016 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, 2016, : 2459 - 2463
  • [34] Connectivity results for random key graphs
    Yagan, Osman
    Makowski, Armand M.
    2009 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, VOLS 1- 4, 2009, : 2403 - +
  • [35] Grasping the connectivity of random functional graphs
    Romero, D
    Zertuche, F
    STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2005, 42 (01) : 1 - 19
  • [36] On the Connectivity of Dynamic Random Geometric Graphs
    Diaz, Josep
    Mitsche, Dieter
    Perez-Gimenez, Xavier
    PROCEEDINGS OF THE NINETEENTH ANNUAL ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS, 2008, : 601 - +
  • [37] On Connectivity and Robustness in Random Intersection Graphs
    Zhao, Jun
    Yagan, Osman
    Gligor, Virgil
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (05) : 2121 - 2136
  • [38] Nonasymptotic Connectivity of Random Graphs and Their Unions
    Bjorkman, Beth
    Hale, Matthew
    Lamkin, Thomas D.
    Robinson, Benjamin
    Thompson, Craig
    IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS, 2021, 8 (01): : 391 - 399
  • [39] Chordal multipartite graphs and chordal colorings
    McKee, Terry A.
    DISCRETE MATHEMATICS, 2007, 307 (17-18) : 2309 - 2314
  • [40] Reconfiguration graphs for vertex colourings of chordal and chordal bipartite graphs
    Bonamy, Marthe
    Johnson, Matthew
    Lignos, Ioannis
    Patel, Viresh
    Paulusma, Daniel
    JOURNAL OF COMBINATORIAL OPTIMIZATION, 2014, 27 (01) : 132 - 143