Combinatorics and Graph Theory


Resolving the Decision Version of the Directed Hamiltonian Path (Cycle) Problem Under Two Special Conditions by Method of Matrix Determinant: an Overview

Authors: Okunoye Babatunde O.

In computational complexity, the Decision version of the Directed Hamiltonian Path Problem is known to be NP-complete (Nondeterministic-Polynomial complete). There are no known efficient algorithms for its resolution in Polynomial time. In three papers, the author shows that this problem can be resolved in Polynomial time under two special conditions relating to the determinant of a matrix: the absence of zero rows (columns) and similar rows (columns). In this paper, the author gives a brief overview of the proposed solution and the P vs NP problem.

Comments: 6 Pages.

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Submission history

[v1] 2013-04-02 01:26:20

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