On "P = NP: Linear Programming Formulation of the Traveling Salesman Problem": A reply to Hofman's Claim of a "Counter-Example"

TL;DR

This paper refutes Hofman's claim of a counter-example to Diaby's LP formulation of the TSP, reaffirming the validity of the original formulation.

Contribution

It provides a critical analysis demonstrating Hofman's counter-example is invalid, supporting the correctness of Diaby's LP approach to TSP.

Findings

Hofman's counter-example is invalid

Diaby's LP formulation remains valid

Supports LP approach for TSP

Abstract

We show that Hofman's claim of a "counter-example" to Diaby's LP formulation of the TSP is invalid.