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Branch-decomposition
Known as:
Branch-width
, Branchwidth
, Width (disambiguation)
In graph theory, a branch-decomposition of an undirected graph G is a hierarchical clustering of the edges of G, represented by an unrooted binary…
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Related topics
Related topics
26 relations
Biconnected component
Connected component (graph theory)
Dominating set
Dual matroid
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2019
2019
Graph Planarity Testing with Hierarchical Embedding Constraints
G. Liotta
,
Ignaz Rutter
,
Alessandra Tappini
arXiv.org
2019
Corpus ID: 139107933
Hierarchical embedding constraints define a set of allowed cyclic orders for the edges incident to the vertices of a graph. These…
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2019
2019
AC-TR-19-001 January 2019 SAT-Encodings for TreecutWidth and Treedepth
R. Ganian
,
Neha Lodha
,
SebastianOrdyniak
,
Stefan Szeider
2019
Corpus ID: 145046948
The decomposition of graphs is a prominent algorithmic task with numerous applications in computer science. A graph decomposition…
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2018
2018
TENSOR NETWORK COMPLEXITY OF MULTILINEAR MAPS PER AUSTRIN
2018
Corpus ID: 29159012
We study tensor networks as a model of arithmetic computation for evaluating multilinear maps. This model turns out to be strong…
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2016
2016
Structural sparseness and complex networks
F. Reidl
2016
Corpus ID: 39368113
The field of complex networks has seen a steady growth in the last decade, fuelled by an ever-growing collection of relational…
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2012
2012
Solving weighted and counting variants of connectivity problems parameterized by treewidth deterministically in single exponential time
H. Bodlaender
,
Marek Cygan
,
Stefan Kratsch
,
Jesper Nederlof
arXiv.org
2012
Corpus ID: 18411099
It is well known that many local graph problems, like Vertex Cover and Dominating Set, can be solved in 2^{O(tw)}|V|^{O(1)} time…
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2011
2011
Fast Sub-exponential Algorithms and Compactness in Planar Graphs
D. Thilikos
Embedded Systems and Applications
2011
Corpus ID: 17578805
We provide a new theory, alternative to bidimensionality, of sub-exponential parameterized algorithms on planar graphs, which is…
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2009
2009
A Logical Approach to Decomposable Matroids
Y. Strozecki
arXiv.org
2009
Corpus ID: 16762596
A notion of branch-width may be defined for matroids, which generalizes the one known for graphs. We first give a proof of the…
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2008
2008
Empirical Study on Branchwidth and Branch Decomposition of Planar Graphs
Zhengbing Bian
,
Q. Gu
,
Marjan Marzban
,
H. Tamaki
,
Yumi Yoshitake
Workshop on Algorithm Engineering and…
2008
Corpus ID: 10816290
We propose efficient implementations of Seymour and Thomas algorithm which, given a planar graph and an integer β, decides…
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2006
2006
Graph-Theoretic Concepts in Computer Science, 32nd International Workshop, WG 2006, Bergen, Norway, June 22-24, 2006, Revised Papers
International Workshop on Graph-Theoretic…
2006
Corpus ID: 262128402
2004
2004
USING A COMPUTER IN MATROID THEORY RESEARCH
Petr Hlinen
2004
Corpus ID: 14869999
In this paper we introduce our computer program Macek for structural computations with matroids representable over nite (partial…
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