Displaying similar documents to “The Pfaffian transform.”

Kasteleyn cokernels.

Kuperberg, Greg (2002)

The Electronic Journal of Combinatorics [electronic only]

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On the energy and spectral properties of the he matrix of hexagonal systems

Faqir M. Bhatti, Kinkar Ch. Das, Syed A. Ahmed (2013)

Czechoslovak Mathematical Journal

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The He matrix, put forward by He and He in 1989, is designed as a means for uniquely representing the structure of a hexagonal system (= benzenoid graph). Observing that the He matrix is just the adjacency matrix of a pertinently weighted inner dual of the respective hexagonal system, we establish a number of its spectral properties. Afterwards, we discuss the number of eigenvalues equal to zero of the He matrix of a hexagonal system. Moreover, we obtain a relation between the number...