Partial geometric designs having circulant concurrence matrices

We classify small partial geometric designs (PGDs) by spectral characteristics of their concurrence matrices. It is well known that the concurrence matrix of a PGD can have at most three distinct eigenvalues, all of which are nonnegative integers. The matrix contains useful information on the incide...

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Bibliographische Detailangaben

Veröffentlicht in:	Journal of combinatorial designs Jg. 30; H. 6; S. 420 - 460
Hauptverfasser:	Song, Sung‐Yell, Tranel, Theodore
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Hoboken Wiley Subscription Services, Inc 01.06.2022
Schlagworte:	1 1 2 $1\frac{1}{2}$‐design association scheme Combinatorial analysis Eigenvalues Mathematical analysis Matrices (mathematics) partial geometric difference set partial geometry special partially balanced incomplete block design strongly regular graph t $t$‐design
ISSN:	1063-8539, 1520-6610
Online-Zugang:	Volltext
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