Quasi-balanced weighing matrices, signed strongly regular graphs and association schemes

Quasi-balanced weighing matrices, signed strongly regular graphs and association schemes

A weighing matrix W is quasi-balanced if |W||W|⊤=|W|⊤|W| has at most two off-diagonal entries, where |W|ij=|Wij|. A quasi-balanced weighing matrix W signs a strongly regular graph if |W| coincides with its adjacency matrix. Among other things, signed strongly regular graphs and their equivalent asso...

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Veröffentlicht in:Finite fields and their applications 2022-10, Vol.83, p.102065, Article 102065
Hauptverfasser: Kharaghani, Hadi, Pender, Thomas, Suda, Sho
Format: Artikel
Sprache:eng
Schlagworte:
Association scheme
Balanced generalized weighing matrix
Divisible design graph
Strongly regular graph
Weighing matrix
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Zusammenfassung:A weighing matrix W is quasi-balanced if |W||W|⊤=|W|⊤|W| has at most two off-diagonal entries, where |W|ij=|Wij|. A quasi-balanced weighing matrix W signs a strongly regular graph if |W| coincides with its adjacency matrix. Among other things, signed strongly regular graphs and their equivalent association schemes are presented.
ISSN:1071-5797
1090-2465
DOI:10.1016/j.ffa.2022.102065