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2 votes
1 answer
133 views

Constructing optimal Hamilton cycles from optimal Hamilton paths

Question: can the shortest Hamilton cycle in a complete symmetric graph with weighted edges be constructed from the shortest Hamilton path in the same graph by connecting its ends and then exchanging ...
1 vote
1 answer
173 views

Could you provide some TSP examples from real world to test a new algorithm?

It's well known that to find a hamilton cycle is NPC, while TSP is NPH. But it seems that for majority of graphs (density of edge > 0.1, order > 100) there is a fast algorithm to find different ...
0 votes
0 answers
77 views

Travelling salesman problem with variable weights

Take a fully connected graph with $v$ vertices. We assign weights to edges using an arbitrary function $f_{ij}(x)$ for pairs of vertices $0 < i, j \le v$, then starting at $c_{0}=0$, traverse the ...
0 votes
0 answers
59 views

A variant of travel salesman problem with charging points

Given a graph composed of a set $V$ of nodes, each representing a point to be visited by a salesman, and a set of fixed charging points. The salesman disposes a car that can travel $D$ distance before ...
2 votes
1 answer
139 views

Description of Linear Time Algorithm for TSP in Halin Graphs

I am looking for a description of the linear time algorithm for the TSP in Halin graphs, that was given in "G. Cornuejols, D. Naddef, and W.R. Pulleyblank. Halin graphs and the travelling ...