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THE CORDIALITY OF COMPLETE BIPARTITE GRAPH Krs AND HADAMARD MATRIX

机译:完整的双方图Krs和HADAMARD矩阵的硬性

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摘要

The H-cordial labeling of graphs is introduced by Cahit [2] .A cordial labeling of graph is a function / from the set of edges to{-1,1}, that there exists an integer positive constant k such that for each vertex v, Σ_(e∈I(v))f(e) =k.where I(v) is the set of all edges incident to v, and the number of edges labeled with -1 and the number of edges labeled with 1, differ by at most 1, also the number of vertices labeled with k, and the number of vertices labeled with —k, differ by at most 1. In this paper we want to study the cordiality of complete bipartite graph K_m,n and then construct the Hadamard matrices of order of 2~k by H-Cordial graph K_4,4.
机译:图的H-cordial标记由Cahit [2]引入。图的热标记是从边到{-1,1}的函数/,存在一个整数正常数k,使得每个顶点v,Σ_(e∈I(v))f(e)= k。其中I(v)是入射到v的所有边的集合,用-1标记的边数和用1标记的边数,最多相差1,标记为k的顶点数量和最多标记为-k的顶点数量相差最多1。在本文中,我们要研究完全二部图K_m,n的亲和度,然后利用H-Cordial图K_4,4构造2〜k阶的Hadamard矩阵。

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