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» On Central Spanning Trees of a Graph
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WG
2009
Springer
14 years 2 months ago
Exact and Parameterized Algorithms for Max Internal Spanning Tree
We consider the NP-hard problem of finding a spanning tree with a maximum number of internal vertices. This problem is a generalization of the famous Hamiltonian Path problem. Our...
Henning Fernau, Serge Gaspers, Daniel Raible
IPL
2006
98views more  IPL 2006»
13 years 7 months ago
Transforming spanning trees and pseudo-triangulations
Let TS be the set of all crossing-free straight line spanning trees of a planar n-point set S. Consider the graph TS where two members T and T of TS are adjacent if T intersects T...
Oswin Aichholzer, Franz Aurenhammer, Clemens Hueme...
PODC
2009
ACM
14 years 8 months ago
Brief announcement: minimum spanning trees and cone-based topology control
Consider a setting where nodes can vary their transmission power thereby changing the network topology, the goal of topology control is to reduce the transmission power while ensu...
Alejandro Cornejo, Nancy A. Lynch
IPPS
1998
IEEE
13 years 11 months ago
Ultrafast Randomized Parallel Construction and Approximation Algorithms for Spanning Forests in Dense Graphs
We present a rst randomized Ologk n time and On+m work CRCWPRAM algorithm for nding a spanning forest of an undirected dense graph with n vertices. Furthermore we construct a rando...
Anders Dessmark, Carsten Dorgerloh, Andrzej Lingas...
STOC
2005
ACM
115views Algorithms» more  STOC 2005»
14 years 7 months ago
Lower-stretch spanning trees
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...