[algogeeks] Re: Graph theoretic problem

2008-02-06 Thread dor
We don't disagree. It's just that that Wiki quote is not that useful in itself (in the sense that a minimum dominating set is not a maximum independent set (and vice versa), so a solution for one does not automatically give you a solution for the other). A reduction from independent set to dominat

[algogeeks] Re: Graph theoretic problem

2008-02-06 Thread dor
Yes, I agree. It is the minimum dominating set problem. On Feb 6, 5:54 am, "Rajiv Mathews" <[EMAIL PROTECTED]> wrote: > On Feb 6, 2008 5:42 AM, dor <[EMAIL PROTECTED]> wrote:> independent set). > Also, minimum dominating set and maximum independent > > set are not the same problem (they are not

[algogeeks] Re: Graph theoretic problem

2008-02-06 Thread Rupesh Bhochhi
On Feb 6, 2008 4:54 AM, Rajiv Mathews <[EMAIL PROTECTED]> wrote: > @Rupesh: Would you please elaborate or provide a reference to this > "colorwave algorithm" you refer to. (On a lazy search) I couldn't find > anything useful. well, I was just trying to give brief hints on the problem type Robin c

[algogeeks] Re: Graph theoretic problem

2008-02-06 Thread Rajiv Mathews
On Feb 6, 2008 5:42 AM, dor <[EMAIL PROTECTED]> wrote: > independent set). Also, minimum dominating set and maximum independent > set are not the same problem (they are not equivalent problems). You > Again; I'll have to disagree. Of course they are not the same problem, but they aren't the most i

[algogeeks] Re: Graph theoretic problem

2008-02-06 Thread Rajiv Mathews
On Feb 6, 2008 5:42 AM, dor <[EMAIL PROTECTED]> wrote: > independent set). Also, minimum dominating set and maximum independent > set are not the same problem (they are not equivalent problems). You > might want to be a little more careful when defining classical > problems -- if, for some reason,

[algogeeks] Re: Graph theoretic problem

2008-02-05 Thread dor
The term colouring is a little confusing (is this a problem you wrote yourself?). I suppose you mean: find a minimum cardinality set S such that for each vertex v, either v is in S or at least one of v's neighbours is in S. This problem is not equivalent to the maximum independent set problem. It

[algogeeks] Re: Graph theoretic problem

2008-02-05 Thread dor
Colorwave? This seems a rather obscure algorithm for maximum independent set (that is, if it is actually an algorithm for the max independent set). Also, minimum dominating set and maximum independent set are not the same problem (they are not equivalent problems). You might want to be a little mo

[algogeeks] Re: Graph theoretic problem

2008-02-04 Thread Rupesh Bhochhi
Robin, You are use colorwave algorithm to solve the problem. In fact this type of problem is call Minimum Connected Dominating Set or Minimum Independent Set where no two adjacent vertices are filled with the same color. On Feb 5, 2008 1:04 AM, robin <[EMAIL PROTECTED]> wrote: > > Hello > > I