摘要
文章将WangHong和DuBeilian关于完全二部图K m,n 存在K1,k—因子分解的充分条件从k为质数幂和质数积的情形推广到k为两个质数幂的乘积的情形。即当 p1、p2 为质数时 ,给出完全二部图Km,n 存在K1,pk11 pk22
In this paper,we extend Wang Hong's and Du Beilian's results on K 1,k -factorization of a complete bipartite graph Km,n from the case k,a prime power,or the case k,a prime the product,to the case k,the product of two prime powers.Thatis,we will give a sufficientcondition forthe existence of a K 1,p k11 p k22 -factorization ofKm,n,whenever p 1 ,p 2 are prime numˉbers and k 1 ,k 2 are positive integers.
