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» Parametric and Kinetic Minimum Spanning Trees
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FOCS
1998
IEEE
13 years 9 months ago
Parametric and Kinetic Minimum Spanning Trees
We consider the parametric minimum spanning tree problem, in which we are given a graph with edge weights that are linear functions of a parameter and wish to compute the sequenc...
Pankaj K. Agarwal, David Eppstein, Leonidas J. Gui...
LATIN
1995
Springer
13 years 8 months ago
Linear-Time Algorithms for Parametric Minimum Spanning Tree Problems on Planar Graphs
A linear-time algorithm for the minimum-ratio spanning tree problem on planar graphs is presented. The algorithm is based on a new planar minimum spanning tree algorithm. The appr...
David Fernández-Baca, Giora Slutzki
DEXA
2010
Springer
182views Database» more  DEXA 2010»
13 years 5 months ago
Minimum Spanning Tree on Spatio-Temporal Networks
Given a spatio-temporal network (ST network) whose edge properties vary with time, a time-sub-interval minimum spanning tree (TSMST) is a collection of distinct minimum spanning t...
Viswanath Gunturi, Shashi Shekhar, Arnab Bhattacha...
CATA
2004
13 years 6 months ago
Optimal Trees for the Parametric Fixed Charge Shortest Paths Problem
We investigate a variant of the Fixed Charge Shortest Paths problem which enumerates the sequence of optimal solutions that arise as the focus shifts from the fixed cost parameter...
Fred J. Rispoli, Steven Cosares
STOC
1995
ACM
115views Algorithms» more  STOC 1995»
13 years 8 months ago
Geometric lower bounds for parametric matroid optimization
We relate the sequence of minimum bases of a matroid with linearly varying weights to three problems from combinatorial geometry: k-sets, lower envelopes of line segments, and con...
David Eppstein