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
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 ()