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The last subconstituent of the Hemmeter graph
Authors:John S Caughman  IV  Elizabeth J Hart  Jianmin Ma  
Institution:

aDepartment of Mathematics, Portland State University, P.O. Box 751, Portland, OR 97207, USA

bDepartment of Mathematics, Penn State University, University Park, State College, PA 16802, USA

cDepartment of Mathematics, Oxford College of Emory University, Oxford, GA 30054, USA

Abstract:We prove that when q is any odd prime power, the distance-2 graph on the set of vertices at maximal distance D from any fixed vertex of the Hemmeter graph HemD(q) is isomorphic to the graph QuadD-1(q) of quadratic forms on View the MathML source.
Keywords:Distance-regular graph  Quadratic form  Hemmeter graph
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