Geodesic
Convertible subspaces that arise from different numberings of the vertices of a graph
Ars Mathematica Contemporanea, Tome 16 (2019) no. 2, pp. 473-486.

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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.
DOI : 10.26493/1855-3974.1477.1c7
Keywords: Determinant, permanent, Hessenberg matrix 
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Henrique F. da Cruz; Ilda Inácio; Rogério Serôdio. Convertible subspaces that arise from different numberings of the vertices of a graph. Ars Mathematica Contemporanea, Tome 16 (2019) no. 2, pp. 473-486. doi : 10.26493/1855-3974.1477.1c7. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1477.1c7/

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