We show that every weighted connected graph G contains as a subgraph a spanning tree into which the edges of G can be embedded with average stretch O log2 n log log n . Moreover, w...
Michael Elkin, Yuval Emek, Daniel A. Spielman, Sha...
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...
A straight-line drawing of a plane graph G is a planar drawing of G, where each vertex is drawn as a point and each edge is drawn as a straight line segment. Given a set S of n poi...
Rahnuma Islam Nishat, Debajyoti Mondal, Md. Saidur...
Given a complete undirected graph, a cost function on edges and a degree bound B, the degree bounded network design problem is to find a minimum cost simple subgraph with maximum...
Yuk Hei Chan, Wai Shing Fung, Lap Chi Lau, Chun Ko...
We investigate the complexity and approximability of some location problems when two distance values are specified for each pair of potential sites. These problems involve the se...
Venkatesh Radhakrishnan, Sven Oliver Krumke, Madha...