Combinatorics and Graph Theory


In an Adjacency Matrix Which Encodes for a Directed Hamiltonian Path, a Non-Zero Determinant Value Certifies the Existence of a Directed Hamiltonian Path When no Zero Rows (Columns) and no Similar Rows (Columns) Exist in the Adjacency Matrix

Authors: Okunoye Babatunde O.

The decision version of Directed Hamiltonian path problem is an NP-complete problem which asks, given a directed graph G, does G contain a directed Hamiltonian path? In two separate papers, the author expresses the graph problem as an adjacency matrix and a proof given to show that under two special conditions relating to theorems on the determinant of a square matrix, a non-zero determinant value certifies the existence of a directed Hamiltonian path. Here, a brief note is added to repair a flaw in the proof. The result, as expressed in the paper title is a more defensible proposition

Comments: 6 Pages.

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Submission history

[v1] 2012-10-10 05:51:51

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