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Product Graphs are Sum Graphs

 

作者: BergstrandDeborah,   HodgesKen,   JenningsGeorge,   KuklinskiLisa,   WienerJanet,   HararyFrank,  

 

期刊: Mathematics Magazine  （Taylor Available online 1992）
卷期: Volume 65, issue 4  

页码: 262-264

 

ISSN:0025-570X

 

年代: 1992

 

DOI:10.1080/0025570X.1992.11996034

 

出版商: Taylor&Francis

 

数据来源: Taylor

 

摘要:

AbstractGiven a setSof positive integers, the sum graphG+(S) hasSas its node set with two nodesxandyadjacent if and only ifx+y∊S. Then a sum graph is isomorphic to the sum graph of some S. Provided 1∉S, the product graph ofSand a product graph are defined similarly. We show that every sum graph is a product graph, and conversely.

 

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