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《Journal of Tianjin Normal University(Natural Science Edition)》 2014-01
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Construction of 2-balanced 3-partite 3-uniform hypergraphs with 1-matching which had maximum number of edges

JIAN Chun;LI Guoquan;College of Mathematical Science,Tianjin Normal University;College of Mathematics and Information Science,Shaanxi Normal University;  
Describing the construction of k-partite k-uniform hypergraphs with given matching number which had maximum number of edges is an unsolved problem. This article makes the most of mutually disjoint perfect matching in 2-balanced3-partite 3-uniform hypergraphs and obtains the number of edges of the extreme graph,and then confirms the construction of all the extreme graphs.
【CateGory Index】: O157.5
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