Results 51 to 60 of about 28,286 (155)
GPU-Accelerated Clique Tree Propagation for Pouch Latent Tree Models [PDF]
Pouch latent tree models (PLTMs) are a class of probabilistic graphical models that generalizes the Gaussian mixture models (GMMs). PLTMs produce multiple clusterings simultaneously and have been shown better than GMMs for cluster analysis in previous studies.
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Computing a Clique Tree with the Algorithm Maximal Label Search [PDF]
The algorithm MLS (Maximal Label Search) is a graph search algorithm that generalizes the algorithms Maximum Cardinality Search (MCS), Lexicographic Breadth-First Search (LexBFS), Lexicographic Depth-First Search (LexDFS) and Maximal Neighborhood Search (MNS). On a chordal graph, MLS computes a PEO (perfect elimination ordering) of the graph.
Berry, Anne, Simonet, Geneviève
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Recognizing Helly Edge-Path-Tree graphs and their clique graphs
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CARAMIA, MASSIMILIANO, Apollonio, N.
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We prove that every 3-connected planar graph on $n$ vertices contains an induced path on $\Omega(\log n)$ vertices, which is best possible and improves the best known lower bound by a multiplicative factor of $\log \log n$.
Esperet, Louis +2 more
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Fixed Simplex Property for Retractable Complexes
Retractable complexes are defined in this paper. It is proved that they have the fixed simplex property for simplicial maps. This implies the theorem of Wallace and the theorem of Rival and Nowakowski for finite trees: every simplicial map transforming ...
Zapart Anna, Idzik Adam
doaj
Several overlay-based live multimedia streaming platforms have been proposed in the recent peer-to-peer streaming literature. In most of the cases, the overlay neighbors are chosen randomly for robustness of the overlay.
Asaduzzaman, Shah +2 more
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Treewidth versus clique number. II. Tree-independence number
In 2020, we initiated a systematic study of graph classes in which the treewidth can only be large due to the presence of a large clique, which we call $(\mathrm{tw},ω)$-bounded. While $(\mathrm{tw},ω)$-bounded graph classes are known to enjoy some good algorithmic properties related to clique and coloring problems, it is an interesting open problem ...
Dallard, Clément +2 more
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A Note on Graphs of Linear Rank-Width 1 [PDF]
We prove that a connected graph has linear rank-width 1 if and only if it is a distance-hereditary graph and its split decomposition tree is a path. An immediate consequence is that one can decide in linear time whether a graph has linear rank-width at ...
Bui-Xuan, Binh-Minh +2 more
core
Random enriched trees with applications to random graphs
We establish limit theorems that describe the asymptotic local and global geometric behaviour of random enriched trees considered up to symmetry. We apply these general results to random unlabelled weighted rooted graphs and uniform random unlabelled $k$-
Stufler, Benedikt
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An extended approach for lifting clique tree inequalities
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Fischer, Anja, Fischer, Frank
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