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October 7th, 2016, 11:39 AM  #1 
Newbie Joined: Oct 2016 From: Paris Posts: 1 Thanks: 0  Graph Theory Optimization Problem
Hi everyone, I'm currently working on an algorithm aiming to find the best route between two vertices (the best, not the shortest...) My hypothesis :  G a connected graph  each vertex is graded (a grade out of 10 for example)  we call "mean of a path" the arithmetical mean of all the grades of the vertices of the path The problem is to find the best (i.e. the path that has the highest mean) between two given vertices A and B Do you have any recommandations for me ? Any ideas (of related fields or problems for example...) Thank you for your help 
October 7th, 2016, 11:53 AM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,582 Thanks: 1427 
This is similar but not identical to the longest path problem.


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graph, optimization, problem, theory 
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