An introduction to clique minimal separator decomposition

A Berry, R Pogorelcnik, G Simonet - Algorithms, 2010 - mdpi.com
This paper is a review which presents and explains the decomposition of graphs by clique
minimal separators. The pace is leisurely, we give many examples and figures. Easy …

[HTML][HTML] Applying clique-decomposition for computing Gromov hyperbolicity

N Cohen, D Coudert, G Ducoffe, A Lancin - Theoretical computer science, 2017 - Elsevier
Given a graph, its hyperbolicity is a measure of how close its distance distribution is to the
one of a tree. This parameter has gained recent attention in the analysis of some graph …

Revisiting decomposition by clique separators

D Coudert, G Ducoffe - SIAM Journal on Discrete Mathematics, 2018 - SIAM
We study the complexity of decomposing a graph by means of clique separators. This
common algorithmic tool, first introduced by Tarjan, allows one to cut a graph into smaller …

Properties and Recognition of Atom Graphs

G Simonet, A Berry - Algorithms, 2022 - mdpi.com
The atom graph of a connected graph is a graph whose vertices are the atoms obtained by
clique minimal separator decomposition of this graph, and whose edges are the edges of all …

Clique-decomposition revisited

D Coudert, G Ducoffe - 2016 - hal.science
The decomposition of graphs by clique-minimal separators is a common algorithmic tool,
first introduced by Tarjan. Since it allows to cut a graph into smaller pieces, it can be applied …

О разложении гиперграфа кликовыми минимальными сепараторами

ВВ Быкова - Журнал Сибирского федерального университета …, 2012 - cyberleninka.ru
В работе исследуется задача разложения гиперграфа на атомы кликовыми
минимальными сепараторами. Показана уникальность такого разложения …

Efficient clique decomposition of a graph into its atom graph

A Berry, R Pogorelcnik, G Simonet - 2010 - hal.science
Efficient clique decomposition of a graph into its atom graph Page 1 HAL Id: hal-00678702
https://hal.science/hal-00678702 Submitted on 13 Mar 2012 HAL is a multi-disciplinary open …

Computing the atom graph of a graph and the union join graph of a hypergraph

A Berry, G Simonet - arXiv preprint arXiv:1607.02911, 2016 - arxiv.org
The atom graph of a graph is the graph whose vertices are the atoms obtained by clique
minimal separator decomposition of this graph, and whose edges are the edges of all …

Decomposition of terminology graphs for domain knowledge acquisition

F Ibekwe-SanJuan, E SanJuan… - Proceedings of the 17th …, 2008 - dl.acm.org
We propose a graph decomposition algorithm for analyzing the structure of complex graph
networks. After multi-word term extraction, we apply techniques from text mining and visual …

Termwatch ii: Unsupervised terminology graph extraction and decomposition

E SanJuan - … and Knowledge Management: Third International Joint …, 2013 - Springer
We present a symbolic and graph-based approach for mapping knowledge domains. The
symbolic component relies on shallow linguistic processing of texts to extract multi-word …