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» Automorphic Decompositions of Graphs
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136
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ESA
2009
Springer
106views Algorithms» more  ESA 2009»
15 years 10 months ago
Fast Evaluation of Interlace Polynomials on Graphs of Bounded Treewidth
Abstract. We consider the multivariate interlace polynomial introduced by Courcelle (2008), which generalizes several interlace polynomials defined by Arratia, Bollob´as, and Sor...
Markus Bläser, Christian Hoffmann
124
Voted
IJRR
2002
126views more  IJRR 2002»
15 years 3 months ago
Sensor-based Coverage of Unknown Environments
The goal of coverage path planning is to determine a path that passes a detector over all points in an environment. This work prescribes a provably complete coverage path planner ...
Ercan U. Acar, Howie Choset
127
Voted
CPC
2006
93views more  CPC 2006»
15 years 3 months ago
Generating Outerplanar Graphs Uniformly at Random
We show how to generate labeled and unlabeled outerplanar graphs with n vertices uniformly at random in polynomial time in n. To generate labeled outerplanar graphs, we present a c...
Manuel Bodirsky, Mihyun Kang
APPROX
2008
Springer
184views Algorithms» more  APPROX 2008»
15 years 5 months ago
Approximately Counting Embeddings into Random Graphs
Let H be a graph, and let CH(G) be the number of (subgraph isomorphic) copies of H contained in a graph G. We investigate the fundamental problem of estimating CH(G). Previous res...
Martin Fürer, Shiva Prasad Kasiviswanathan
121
Voted
ACSC
2007
IEEE
15 years 9 months ago
Improved Shortest Path Algorithms For Nearly Acyclic Directed Graphs
This paper presents new algorithms for computing single source shortest paths (SSSPs) in a nearly acyclic directed graph G. The first part introduces higher-order decomposition. ...
Lin Tian, Tadao Takaoka