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图的反全符号控制数

徐保根 汤友亮 罗茜

江西科学2011,Vol.29Issue(5):546-549,4.
江西科学2011,Vol.29Issue(5):546-549,4.

图的反全符号控制数

On Reverse Total Signed Domination in Graphs

徐保根 1汤友亮 1罗茜1

作者信息

  • 1. 华东交通大学基础科学学院,江西南昌330013
  • 折叠

摘要

Abstract

Let G=(V,E) be a nonempty graph,a function fV(G)∪E(G)→{-1,1},is said to be a reverse total signed domination function(RTSDF) of G if f[x]≤1 holds for each x∈V(G)∪E(G),defining the weighing of fw(f)=∑x∈V(G)∪E(G)f(x),f[x]=∑y∈NT[x]f(y).The reverse total signed domination numbers γ*rs(G) of G is defined as γ*rs(G)=max{w(f)|f is a RTSDF of G}.In this paper,we give some upper bounds of the reverse total signed domination numbers of graphs,and determine the reverse total signed domination numbers of paths Pn and star graph K1,n.

关键词

反全符号控制函数/反全符号控制数/全符号控制函数/全符号控制数

Key words

Reverse total signed domination function/Reverse total signed domination numbers/Total signed domination function/Total signed domination numbers

分类

生物科学

引用本文复制引用

徐保根,汤友亮,罗茜..图的反全符号控制数[J].江西科学,2011,29(5):546-549,4.

基金项目

国家自然科学基金 ()

江西科学

1001-3679

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