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ALGORITHMICA
1998
73views more  ALGORITHMICA 1998»
13 years 8 months ago
Linear Probing and Graphs
Mallows and Riordan showed in 1968 that labeled trees with a small number of inversions are related to labeled graphs that are connected and sparse. Wright enumerated sparse connec...
Donald E. Knuth
STOC
1996
ACM
115views Algorithms» more  STOC 1996»
14 years 24 days ago
Minimum Cuts in Near-Linear Time
We significantly improve known time bounds for solving the minimum cut problem on undirected graphs. We use a "semiduality" between minimum cuts and maximum spanning tree...
David R. Karger
DEXA
2010
Springer
182views Database» more  DEXA 2010»
13 years 8 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...
MFCS
1995
Springer
14 years 6 days ago
Graph Inference from a Walk for TRees of Bounded Degree 3 is NP-Complete
The graph inference from a walk for a class C of undirected edge-colored graphs is, given a string x of colors, nding the smallest graph G in C that allows a traverse of all edge...
Osamu Maruyama, Satoru Miyano
FOCS
2009
IEEE
14 years 3 months ago
Faster Generation of Random Spanning Trees
In this paper, we set forth a new algorithm for generating approximately uniformly random spanning trees in undirected graphs. We show how to sample from a distribution that is wi...
Jonathan A. Kelner, Aleksander Madry