4 research outputs found
Vertex fusion under diameter constraints
Given a graph =(,), a positive integer and a positive integer , we want find a subset with vertices such the graph obtained by identifying the vertices from in has diameter at most . We prove that for every the problem is NP-complete. For the case of trees we provide a polynomial time algorithm that exploits the relationship with the -dominating set problem.Postprint (published version
Vertex fusion under diameter constraints
Given a graph =(,), a positive integer and a positive integer , we want find a subset with vertices such the graph obtained by identifying the vertices from in has diameter at most . We prove that for every the problem is NP-complete. For the case of trees we provide a polynomial time algorithm that exploits the relationship with the -dominating set problem
Vertex fusion under diameter constraints
Given a graph =(,), a positive integer and a positive integer , we want find a subset with vertices such the graph obtained by identifying the vertices from in has diameter at most . We prove that for every the problem is NP-complete. For the case of trees we provide a polynomial time algorithm that exploits the relationship with the -dominating set problem