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Orientador(es)
Resumo(s)
In this paper, we describe subspaces of generalized Hessenberg matrices where the determinant is convertible into the permanent by affixing ± signs. These subspaces can arise from different numberings of the vertices of a graph. With this numbering process, we obtain some well-known sequences of integers. For instance, in the case of a path of length n, we prove that the number of these subspaces is the (n + 1)th Fibonacci number.
Descrição
Palavras-chave
Determinant Permanent Hessenberg matrix
Contexto Educativo
Citação
Editora
Ars Math. Contemp.