http://www.cnr.it/ontology/cnr/individuo/prodotto/ID7070
Non-Regular Square Bipartite Designs (Articolo in rivista)
- Type
- Label
- Non-Regular Square Bipartite Designs (Articolo in rivista) (literal)
- Anno
- 2002-01-01T00:00:00+01:00 (literal)
- Alternative label
De Simone, C.; Gasparian, G.; Nobili, P. (2002)
Non-Regular Square Bipartite Designs
in Linear algebra and its applications
(literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- De Simone, C.; Gasparian, G.; Nobili, P. (literal)
- Pagina inizio
- Pagina fine
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- Rivista
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- A square bipartite design is a pair of square 0-1 matrices A and B
satisfying the matrix equation AB=kJ + diag (d), where J is a matrix filled with all ones, k is a positive integer, and \diag (d) is
a diagonal matrix with the vector d in the diagonal.
We characterize a class of non-regular square bipartite designs (literal)
- Note
- ISI Web of Science (WOS) (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
- De Simone: Istituto di Analisi dei Sistemi e Informatica, CNR
Gasparian: Dept. of Informatics and Applied~Mathematics, Yerevan State University, Armenia.
Nobili: Dipartimento di Matematica, Università di Lecce (literal)
- Titolo
- Non-Regular Square Bipartite Designs (literal)
- Abstract
- A square bipartite design is a pair of square 0-1 matrices A and B satisfying the following
matrix equation:
ATB D ?J C diag.d/;
where J is a matrix filled with all ones, ? is a positive integer, and diag.d/ is a diagonal matrix
with the vector d in the diagonal. We give a characterization of a class of non-regular square
bipartite designs; our result generalizes some earlier results of De Bruijn and Erd\"os, Lehman,
and Gasparyan. (literal)
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