给定一个简单连通图C及其一棵支撑树T,图G的1个L(d,1)-T标号即一个标号函数g满足:①G的任意2个相邻点的标号至少差1;②T上任意两个相邻点的标号至少差d;③G上任意两个距离为2的点的标号至少差1.本文研究了无爪图与分裂图的L(d,1)-T标号并给出了Tλ,d,T(G)一个界.
Given a simple connected graph G and a spanning tree T of G, a L( d, 1 ) - T labeling for G is a function g such that (1) the labels of adjacent vertices in G are different; (2) the labels of adjacent vertices in T are different by at least d; (3) the labels of adjacent vertices with distance 2 in T are different. The L(d, 1 ) - T labeling of the craw - free graph and splitted graph is studied and a bound of the Tλ,d,T(G) is obtained.