Bipartite Q-Polynomial Quotients of Antipodal Distance-Regular Graphs

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• 作者：Caughman IV ; John S.
• 刊名：Journal of Combinatorial Theory, Series B
• 出版年：1999
• 出版时间：July, 1999
• 年：1999
• 卷：76
• 期：2
• 页码：291-296
• 全文大小：91.0 K

文摘

Let Γ denote a bipartite Q-polynomial distance-regular graph with diameter D≥4. We show that Γ is the quotient of an antipodal distance-regular graph if and only if one of the following holds. (i)Γ is a cycle of even length. (ii)Γ is the quotient of the 2D-cube.