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Johnson graph : ウィキペディア英語版
Johnson graph

Johnson graphs are a special class of undirected graphs defined from systems of sets. The vertices of the Johnson graph J(n,k) are the k-element subsets of an n-element set; two vertices are adjacent when they meet in a (k-1)-element set.〔.〕 Both Johnson graphs and the closely related Johnson scheme are named after Selmer M. Johnson.
==Special Cases==

*J(n,1) is the complete graph .
*J(4,2) is the octahedral graph.
*J(5,2) is the complement graph of the Petersen graph,〔 hence the line graph of . More generally, for all , the Johnson graph J(n,2) is the complement of the Kneser graph KG(n,2)

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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