【摘要】 对简单图G=〈V,E〉,如果存在一个映射f:V→{0,1,2,…,2 E-1}满足1)对任意的u,v∈V,若u≠v,则f(u)≠f(v);2)对任意的e1,e2∈E,若e1≠e2,则g(e1)≠g(e2),此处g(e)=f(u)+f(v),e=uv;3){g(e)e∈E}={1,3,5,…,2 E-1},则称G为奇强协调图,f称为G的奇强协调标号.给出了直径为4的树的奇强协调标号.更多还原

【Abstract】 Let G=〈V,E〉 be a simple graph.If there exist a mapping f:V→{0,1,2,…,2|E|-1} Satisfied 1) u,v∈V,if u≠v,then f(u)≠f(v);2) e1,e2∈E,if e1≠e2,then g(e1)≠g(e2),here g(e)=f(u)+f(v),e=uv;3) {g(e)|e∈E }={1,3,5,…,2|E|-1},then G is called odd strong harmonious graph and f is called odd strong harmonious labeling of G.In this paper,We give odd strong harmonious labeling of trees whose diameters are four.更多还原