Vertex-Edge Domination in Interval and Bipartite Permutation Graphs

被引：1
|
作者：
Paul, Subhabrata [1 ]
Pradhan, Dinabandhu [2 ]
Verma, Shaily [3 ]
机构：
[1] Indian Inst Technol, Dept Math, Patna, Bihar, India
[2] Indian Inst Technol ISM, Dept Math & Comp, Dhanbad, Bihar, India
[3] Indian Inst Technol, Dept Math, Delhi, India
来源：
DISCUSSIONES MATHEMATICAE GRAPH THEORY | 2023年 / 43卷 / 04期
关键词：
vertex-edge domination; linear time algorithm; interval graphs; bipartite permutation graphs; NUMBER;
D O I：
10.7151/dmgt.2411
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a graph G =(V, E), a vertex u is an element of V ve-dominates all edges incident to any vertex of N-G[u]. A set D V is a vertex-edge dominating set if, for any edge e is an element of E, there exists a vertex u is an element of D such that u ve-dominates e. Given a graph G, our goal is to find a minimum cardinality ve-dominating set of G. In this paper, we designed two linear-time algorithms to find a minimum cardinality ve-dominating set for interval and bipartite permutation graphs.
引用
收藏
页码：947 / 963
页数：17
相关论文
共 50 条
  • [1] Vertex-edge domination in graphs
    Boutrig, Razika
    Chellali, Mustapha
    Haynes, Teresa W.
    Hedetniemi, Stephen T.
    [J]. AEQUATIONES MATHEMATICAE, 2016, 90 (02) : 355 - 366
  • [2] Vertex-edge domination in graphs
    Paweł Żyliński
    [J]. Aequationes mathematicae, 2019, 93 : 735 - 742
  • [3] Vertex-edge domination in graphs
    Razika Boutrig
    Mustapha Chellali
    Teresa W. Haynes
    Stephen T. Hedetniemi
    [J]. Aequationes mathematicae, 2016, 90 : 355 - 366
  • [4] Vertex-edge domination in graphs
    Zylinski, Pawel
    [J]. AEQUATIONES MATHEMATICAE, 2019, 93 (04) : 735 - 742
  • [5] Vertex-edge domination in cubic graphs
    Ziemann, Radoslaw
    Zylinski, Pawel
    [J]. DISCRETE MATHEMATICS, 2020, 343 (11)
  • [6] Linear time algorithm for the vertex-edge domination problem in convex bipartite graphs
    [J]. 2025, 55
  • [7] Vertex-edge domination in unit disk graphs
    Jena, Sangram K.
    Das, Gautam K.
    [J]. DISCRETE APPLIED MATHEMATICS, 2022, 319 : 351 - 361
  • [8] Vertex-edge domination in unit disk graphs
    Jena, Sangram K.
    Das, Gautam K.
    [J]. Discrete Applied Mathematics, 2022, 319 : 351 - 361
  • [9] Results on vertex-edge and independent vertex-edge domination
    Subhabrata Paul
    Keshav Ranjan
    [J]. Journal of Combinatorial Optimization, 2022, 44 : 303 - 330
  • [10] Vertex-Edge Domination
    Lewis, Jason
    Hedetniemi, Stephen T.
    Haynes, Teresa W.
    Fricke, Gerd H.
    [J]. UTILITAS MATHEMATICA, 2010, 81 : 193 - 213
12345