Well yes..and no.<p>Let M be the largest distance between any two points in your graph.  Add M to the length of every edge.  Now the triangle inequality is trivially satisfied and you&#x27;ve got a Metric TSP.<p>However the &quot;you find a path within a factor of 3&#x2F;2 of the best possible&quot; guarantee of the Christofides algorithm is much less useful than you might hope because all paths just got a lot longer.