| 优美图与调和图的矩阵表示 |
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| 引用本文： | 彭太华,周玉琴.优美图与调和图的矩阵表示[J].土木与环境工程学报,1990,12(2). |
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| 作者姓名： | 彭太华 周玉琴 |
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| 作者单位： | 重庆建筑工程学院基础科学系，重庆建筑工程学院基础科学系 |
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| 摘 要： | 本文引入了优美矩阵与调和矩阵的概念,证明了一个图G是优美(调和)图,当且仅当存在一个优美(调和)矩阵A,它是G的一个P形邻接矩阵.本文又引入了调和交错图的概念,证明一个图是交错图,当且仅当它也是一个调和交错图.
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| 关 键 词： | 优美矩阵 调和矩阵 交错图 调和交错图 |
MATRIC EXPRESSIONS OF GRACEFUL GRAPH AND HARMONIC GRAPH |
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| Peng Taihu,Zhou Yuqin.MATRIC EXPRESSIONS OF GRACEFUL GRAPH AND HARMONIC GRAPH[J].Journal of Civil and Environmental Engineering,1990,12(2). |
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| Authors: | Peng Taihu Zhou Yuqin |
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| Affiliation: | Peng Taihua;Zhou Yuqin Department of Natural Science |
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| Abstract: | This paper introduces new concepts of graceful matrix and har-monic matrix,and proves that a graph is graceful or harmonic iff there exists agraceful or harmonic matrix which is a P-adjacent matrix of a graph.This paperalso introduces a new concept of harmonic interlaced graph,and proves that agraph is interlaced iff it is also harmonic interlaced. |
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| Keywords: | graceful matrix harmonic matrix interlaced graph harmonic interlaced graph |
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