Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a graph having the points of S as its vertices such that for any pair p, q of points ther...
Let G = (V, E) be an undirected graph, and let B ⊆ V × V be a collection of vertex pairs. We give an incremental polynomial time algorithm to enumerate all minimal edge sets X ...
Leonid Khachiyan, Endre Boros, Konrad Borys, Khale...
Let T be a spanning tree of a graph G and S V (G) be a set of sources. The routing cost of T is the total distance from all sources to all vertices. For an edge e of T, the swap ...
Consider the following question: does every complete geometric graph K2n have a partition of its edge set into n plane spanning trees? We approach this problem from three directio...
Given a metric graph G, we are concerned with finding a spanning tree of G where the maximum weighted degree of its vertices is minimum. In a metric graph (or its spanning tree),...
Mohammad Ghodsi, Hamid Mahini, Kian Mirjalali, Sha...