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两类图的(d,1)-全标号
引用本文:陈东. 两类图的(d,1)-全标号[J]. 浙江师范大学学报(自然科学版), 2008, 31(3): 283-287
作者姓名:陈东
作者单位:浙江师范大学行知学院,浙江,金华,321004
摘    要:图G的一个k-(d,1)-全标号是一个映射f:V(G)∪E(G)→{0,1,…,k},使得任意2个相邻的点和相邻的边有不同值,且任一对相关联的点和边的值差的绝对值至少为d.G的(d,1)-全标号数λ^Td(G)定义为G有一个k-(d,1)-全标号的最小的k值,得到了扇图与轮图的(d,1)-全标号数。

关 键 词:(d,1)-全标号  距离2标号  扇图  轮图

The(d,1)-total labelling of two kinds of graphs
CHEN Dong. The(d,1)-total labelling of two kinds of graphs[J]. Journal of Zhejiang Normal University Natural Sciences, 2008, 31(3): 283-287
Authors:CHEN Dong
Affiliation:CHEN Dong ( Xingzhi College, Zhejiang Normal University, Jinhua Zhefiang 321004, China)
Abstract:The ( d, 1 ) -total labelling number λ^Td(G) of a graph G is the width of the smallest range of integers that suffices to label the vertices and edges of G such that no two adjacent vertices or two adjacent edges have the same labels and the difference between the labels of a vertex and its incident edges is at least d. The ( d, 1 ) -total labelling numbers of the fan and wheel graphs were presented.
Keywords:( d, 1 ) -total labelling  distance two labelling  fan graph  wheel graph
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