UNIQUENESS OF STRONGLY REGULAR GRAPHS HAVING MINIMAL P-RANK

Authors
PEETERS R
Citation
R. Peeters, UNIQUENESS OF STRONGLY REGULAR GRAPHS HAVING MINIMAL P-RANK, Linear algebra and its applications, 228, 1995, pp. 9-31
Citations number
28
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
228
Year of publication
1995
Pages
9 - 31
Database
ISI
SICI code
0024-3795(1995)228:<9:UOSRGH>2.0.ZU;2-0
Abstract
Let Gamma be a strongly regular graph with adjacency matrix A. Let I b e the identity matrix and let p be a prime. We study the p-rank of the matrices A + cI for integral c and want to characterize among all str ongly regular graphs with a given parameter set those for which a p-ra nk is minimal.