NONEXISTENCE OF SQUARE ROOTS OF DIRECTED STRONGLY REGULAR GRAPHS

Hacioglu, Ilhan; Da Fonseca, Carlos M.

NONEXISTENCE OF SQUARE ROOTS OF DIRECTED STRONGLY REGULAR GRAPHS

Authors

Hacioglu, Ilhan
Da Fonseca, Carlos M.

Abstract

Based on a seminal work of Art M. Duval, we ask whether there is a (0, l)-matrix whose square is the adjacency matrix of a directed strongly regular graph. In this note, we give a negative answer and generalize the results to square roots of doubly regular tournament matrices found recently. © 2020 Utilitas Mathematica Publishing Inc.. All rights reserved.

Published

2020-09-09

How to Cite

Hacioglu, Ilhan, & Da Fonseca, Carlos M. (2020). NONEXISTENCE OF SQUARE ROOTS OF DIRECTED STRONGLY REGULAR GRAPHS. Utilitas Mathematica, 116. Retrieved from https://utilitasmathematica.com/index.php/Index/article/view/1476