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Topic: Is this "travelling salesman problem" version known?
Replies: 5   Last Post: Mar 16, 2004 3:57 PM

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Alexander Malkis

Posts: 11
Registered: 12/13/04
Is this "travelling salesman problem" version known?
Posted: Mar 10, 2004 3:25 PM
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(was: How are these "minimal paths" called?)
Since only a few knew what I'm talking about, I'll reformulate the
problem and hope for a better understanding.

Let V be be set of cities, E (containing some two-element sets of
elements of V) is the set of connections between some cities, all these
connectons have cost 1. Other connections (i.e. not in E) cost infinity.
(I.e. the salesman goes only through the connections listed in E). Let W
be a subset of V.
Questions: (1) Find a shortest path which goes at least once through
each city in W (and is allowed to visit cities in V\W)? (2) What is the
cost of such shortest path?

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