Authors: Okunoye Babatunde
In earlier work, the author conjectured that under two special conditions relating to theorems on the determinant of a matrix: the absence of a zero row (column) and the absence of similar rows (columns), a non-zero determinant value certifies the existence of a Directed Hamiltonian Path in an arbitrary adjacency matrix. Here, a formal proof is provided by means of deductive logic to establish that in an arbitrary adjacency matrix of size n (n rows and n columns), a non-zero determinant value verifies the existence of a Directed Hamiltonian Path in the adjacency matrix
Comments: 4 Pages. Accepted and Revised at IEEE African Journal of Computing and ICTs
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