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Published January 1988 | public
Journal Article

A directed graph version of strongly regular graphs

Duval, Art M.

Abstract

We study a directed graph version of strongly regular graphs whose adjacency matrices satisfy A^2 + (μ − λ)A − (t − μ)I = μJ, and AJ = JA = kJ. We prove existence (by construction), nonexistence, and necessary conditions, and construct homomorphisms for several families of parameter sets.

Additional Information

© 1988 Published by Elsevier. Received 17 June 1986. Dedicated to the memory of Herbert J. Ryser. Work on this paper done partially while the author was supported by a Summer Undergraduate Research Fellowship at the California Institute of Technology, and partially as a Senior Thesis at the California Institute of Technology. I acknowledge the assistance of Professor Herbert J. Ryser, who led me to this problem, Professors Richard M. Wilson and Richard A. Brualdi, who provided valuable assistance, and the referee, who suggested many improvements.

Additional details

Created:
August 19, 2023
Modified:
October 18, 2023