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» A Linear-Time Graph Kernel
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DM
2007
97views more  DM 2007»
14 years 9 months ago
Recognizing Cartesian products in linear time
We present an algorithm that determines the prime factors of connected graphs with respect to the Cartesian product in linear time and space. This improves a result of Aurenhammee...
Wilfried Imrich, Iztok Peterin
STOC
1996
ACM
115views Algorithms» more  STOC 1996»
15 years 1 months 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
52
Voted
IPL
2006
72views more  IPL 2006»
14 years 9 months ago
Structure and linear time recognition of 3-leaf powers
A graph G is the k-leaf power of a tree T if its vertices are leaves of T such that two vertices are adjacent in G if and only if their distance in T is at most k. Then T is the k...
Andreas Brandstädt, Van Bang Le
WADS
2005
Springer
114views Algorithms» more  WADS 2005»
15 years 3 months ago
Linear Time Algorithms for Generalized Edge Dominating Set Problems
Abstract. In this paper we consider a generalization of the edge dominating set (EDS) problem, in which each edge e needs to be covered be times and refer to this as the b-EDS prob...
André Berger, Ojas Parekh
70
Voted
CORR
2004
Springer
121views Education» more  CORR 2004»
14 years 9 months ago
Solving Elliptic Finite Element Systems in Near-Linear Time with Support Preconditioners
We consider linear systems arising from the use of the finite element method for solving a certain class of linear elliptic problems. Our main result is that these linear systems, ...
Erik G. Boman, Bruce Hendrickson, Stephen A. Vavas...