L(j, k)-labeling number of Cartesian product of path and cycle

被引:0
|
作者
Wu, Qiong [1 ,2 ]
Shiu, Wai Chee [1 ]
Sun, Pak Kiu [1 ]
机构
[1] Hong Kong Baptist Univ, Dept Math, 224 Waterloo Rd, Kowloon Tong, Hong Kong, Peoples R China
[2] Tianjin Univ Technol & Educ, Dept Computat Sci, Tianjin 300222, Peoples R China
关键词
L(j; k)-labeling; Cartesian product; Path; Cycle;
D O I
10.1007/s10878-014-9775-4
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
For positive numbers and , an -labeling of is an assignment of numbers to vertices of such that if , and if . The span of is the difference between the maximum and the minimum numbers assigned by . The -labeling number of , denoted by , is the minimum span over all -labelings of . In this article, we completely determine the -labeling number () of the Cartesian product of path and cycle.
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页码:604 / 634
页数:31
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