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ECCC
2011
205views ECommerce» more  ECCC 2011»
13 years 2 months ago
Graphs of Bounded Treewidth can be Canonized in AC1
In recent results the complexity of isomorphism testing on graphs of bounded treewidth is improved to TC1 [GV06] and further to LogCFL [DTW10]. The computation of canonical forms ...
Fabian Wagner
ICALP
2003
Springer
14 years 21 days ago
Fixed-Parameter Algorithms for the (k, r)-Center in Planar Graphs and Map Graphs
The (k, r)-center problem asks whether an input graph G has ≤ k vertices (called centers) such that every vertex of G is within distance ≤ r from some center. In this paper we ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...
ESA
2010
Springer
172views Algorithms» more  ESA 2010»
13 years 8 months ago
Algorithmic Meta-theorems for Restrictions of Treewidth
Abstract. Possibly the most famous algorithmic meta-theorem is Courcelle's theorem, which states that all MSO-expressible graph properties are decidable in linear time for gra...
Michael Lampis
CORR
2006
Springer
166views Education» more  CORR 2006»
13 years 7 months ago
Bounding the Bias of Tree-Like Sampling in IP Topologies
Abstract. It is widely believed that the Internet's AS-graph degree distribution obeys a power-law form. However, it was recently argued that since Internet data is collected ...
Reuven Cohen, Mira Gonen, Avishai Wool
ICALP
2001
Springer
13 years 12 months ago
Approximating the Minimum Spanning Tree Weight in Sublinear Time
We present a probabilistic algorithm that, given a connected graph G (represented by adjacency lists) of average degree d, with edge weights in the set {1, . . . , w}, and given a ...
Bernard Chazelle, Ronitt Rubinfeld, Luca Trevisan