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ASPDAC
2001
ACM
103views Hardware» more  ASPDAC 2001»
15 years 3 months ago
Efficient minimum spanning tree construction without Delaunay triangulation
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...
Hai Zhou, Narendra V. Shenoy, William Nicholls
CIAC
2010
Springer
376views Algorithms» more  CIAC 2010»
15 years 9 months ago
Kernelization for Maximum Leaf Spanning Tree with Positive Vertex Weights
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...
Bart Jansen
WADS
2005
Springer
162views Algorithms» more  WADS 2005»
15 years 5 months ago
The Minimum-Area Spanning Tree Problem
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...
Paz Carmi, Matthew J. Katz, Joseph S. B. Mitchell
GC
2007
Springer
14 years 11 months ago
Gray Code Enumeration of Plane Straight-Line Graphs
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...
SODA
1998
ACM
157views Algorithms» more  SODA 1998»
15 years 1 months ago
A Polynomial Time Approximation Scheme for Minimum Routing Cost Spanning Trees
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...