Given n points in a plane, a minimum spanning tree is a set of edges which connects all the points and has a minimum total length. A naive approach enumerates edges on all pairs o...
In this paper we consider a natural generalization of the well-known Max Leaf
Spanning Tree problem. In the generalized Weighted Max Leaf problem we get as
input an undirected co...
Motivated by optimization problems in sensor coverage, we formulate and study the Minimum-Area Spanning Tree (mast) problem: Given a set P of n points in the plane, find a spannin...
We develop Gray code enumeration schemes for geometric graphs in the plane. The considered graph classes include plane straight-line graphs, plane spanning trees, and connected pl...
Oswin Aichholzer, Franz Aurenhammer, Clemens Hueme...
Given an undirected graph with nonnegative costs on the edges, the routing cost of any of its spanning trees is the sum over all pairs of vertices of the cost of the path between t...
Bang Ye Wu, Giuseppe Lancia, Vineet Bafna, Kun-Mao...