Displaying similar documents to “Higher SPIN alternating sign matrices.”

Kasteleyn cokernels.

Kuperberg, Greg (2002)

The Electronic Journal of Combinatorics [electronic only]

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A note on ultrametric matrices

Xiao-Dong Zhang (2004)

Czechoslovak Mathematical Journal

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It is proved in this paper that special generalized ultrametric and special 𝒰 matrices are, in a sense, extremal matrices in the boundary of the set of generalized ultrametric and 𝒰 matrices, respectively. Moreover, we present a new class of inverse M -matrices which generalizes the class of 𝒰 matrices.

An identity between the determinant and the permanent of Hessenberg-type matrices

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.