Cruz, Henrique F. DaInácio, IldaSerôdio, Rogério2020-02-072020-02-0720191855-3974http://hdl.handle.net/10400.6/9093In 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.engDeterminantPermanentHessenberg matrixjournal articlehttps://doi.org/ 10.26493/1855- 3974.1477.1c7