Remote Monitoring by Edges and Faces of Maximal Outerplanar Graphs

被引:1
作者
Hernandez, Gregorio [1 ]
Martins, Mafalda [2 ]
机构
[1] Univ Politecn Madrid, Campus Montegancedo, E-28660 Madrid, Spain
[2] Univ Aveiro, CIDMA Ctr Res & Dev Math & Applicat, Dept Math, Campus Univ Santiago, P-3810193 Aveiro, Portugal
关键词
domination; covering; guarding; triangulation graphs; maximal outerplanar graphs; GUARDING POLYHEDRAL TERRAINS;
D O I
10.1093/comjnl/bxw106
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
The concepts of monitoring the elements of triangulation graphs by edges and faces at a distance were defined by Hernandez and Martins (2014, Electr. Notes Discrete Math., 46, 145-152). Furthermore, for any n-vertex maximal outerplanar graph, they provide combinatorial bounds when k = 2. In this paper, we continue their study, generalizing its results to any value of k. We prove that on maximal outerplanar graphs.
引用
收藏
页码:1279 / 1288
页数:10
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