With applications in communication networks,the minimum stretch spanning tree problem is to find a spanning tree T of a graph G such that the maximum distance in T between two adjacent vertices is minimized.The proble...With applications in communication networks,the minimum stretch spanning tree problem is to find a spanning tree T of a graph G such that the maximum distance in T between two adjacent vertices is minimized.The problem has been proved NP-hard and fixed-parameter polynomial algorithms have been obtained for some special families of graphs.In this paper,we concentrate on the optimality characterizations for typical classes of graphs.We determine the exact formulae for the complete k-partite graphs,split graphs,generalized convex graphs,and several planar grids,including rectangular grids,triangular grids,and triangulated-rectangular grids.展开更多
基金by National Key R&D Program of China(No.2019YFB2101604).
文摘With applications in communication networks,the minimum stretch spanning tree problem is to find a spanning tree T of a graph G such that the maximum distance in T between two adjacent vertices is minimized.The problem has been proved NP-hard and fixed-parameter polynomial algorithms have been obtained for some special families of graphs.In this paper,we concentrate on the optimality characterizations for typical classes of graphs.We determine the exact formulae for the complete k-partite graphs,split graphs,generalized convex graphs,and several planar grids,including rectangular grids,triangular grids,and triangulated-rectangular grids.
