Edge Metric Dimension of Some Generalized Petersen Graphs

被引：36
|
作者：
Filipovic, Vladimir [1 ]
Kartelj, Aleksandar [1 ]
Kratica, Jozef [2 ]
机构：
[1] Univ Belgrade, Fac Math, Studentski Trg 16-4, Belgrade 11000, Serbia
[2] Serbian Acad Arts & Sci, Math Inst, Kneza Mihaila 36-3, Belgrade, Serbia
来源：
RESULTS IN MATHEMATICS | 2019年 / 74卷 / 04期
关键词：
Edge metric dimension; generalized Petersen graphs; discrete mathematics;
D O I：
10.1007/s00025-019-1105-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The edge metric dimension problem was recently introduced, which initiated the study of its mathematical properties. The theoretical properties of the edge metric representations and the edge metric dimension of generalized Petersen graphs GP(n, k) are studied in this paper. We prove the exact formulae for GP(n, 1) and GP(n, 2), while for other values of k a lower bound is stated.
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页数：15
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