Small forbidden configurations. II.
Anstee, Richard, Ferguson, Ron, Sali, Attila (2001)
The Electronic Journal of Combinatorics [electronic only]
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Anstee, Richard, Ferguson, Ron, Sali, Attila (2001)
The Electronic Journal of Combinatorics [electronic only]
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Antonín Vrba (1973)
Časopis pro pěstování matematiky
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Sivasubramanian, Sivaramakrishnan (2010)
The Electronic Journal of Combinatorics [electronic only]
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Anstee, R.P., Kamoosi, N. (2007)
The Electronic Journal of Combinatorics [electronic only]
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Kitaev, Sergey, Mansour, Toufik, Vella, Antoine (2005)
Journal of Integer Sequences [electronic only]
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Dedó, E., Marini, A., Salvi, N.Z. (2003)
Mathematica Pannonica
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Ljiljana Cvetković, Vladimir Kostić, Maja Nedović (2015)
Open Mathematics
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In this paper we present a nonsingularity result which is a generalization of Nekrasov property by using two different permutations of the index set. The main motivation comes from the following observation: matrices that are Nekrasov matrices up to the same permutations of rows and columns, are nonsingular. But, testing all the permutations of the index set for the given matrix is too expensive. So, in some cases, our new nonsingularity criterion allows us to use the results already...
Carlos Martins da Fonseca (2011)
Czechoslovak Mathematical Journal
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In this short note we provide an extension of the notion of Hessenberg matrix and observe an identity between the determinant and the permanent of such matrices. The celebrated identity due to Gibson involving Hessenberg matrices is consequently generalized.