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Plasma proteome correlations with liver stiffness in pediatric cholestasis implicate epithelial to mesenchymal transition. [PDF]
Shneider BL +22 more
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The Realizability of Theta Graphs as Reconfiguration Graphs of Minimum Independent Dominating Sets. [PDF]
Brewster RC, Mynhardt CM, Teshima LE.
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Minimum Average Distance Clique Trees
SIAM Journal on Discrete Mathematics, 2015Summary: Chordal graphs have been extensively studied and have applications in various fields, including computational biology, sparse matrix computation, and graphical models. They are characterized by the existence of clique trees, whose vertices correspond to the maximal cliques of a chordal graph.
Xu, Shou-Jun, Gysel, Rob, Gusfield, Dan
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Clique-transversal number of graphs whose clique-graphs are trees
Journal of Shanghai University (English Edition), 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liang, Zuosong, Shan, Erfang
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Attributed tree matching and maximum weight cliques
Proceedings 10th International Conference on Image Analysis and Processing, 2003A classical way of matching relational structures consists of finding a maximum clique in a derived "association graph". However it is not clear how to apply this approach to problems where the graphs are hierarchically organized, i.e., are trees, since maximum cliques are not constrained to preserve the partial order.
PELILLO, Marcello +2 more
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Clique Tree Inequalities and the Symmetric Travelling Salesman Problem
Mathematics of Operations Research, 1986The linear programming cutting plane approach for solving the travelling salesman problem has recently proven to be highly successful, cf. Crowder and Padberg (Crowder, H. P., M. W. Padberg. 1980. Solving large-scale symmetric travelling salesman problems to optimality. Management Sci. 26 495–509.), Grötschel (Grötschel, M. 1980a.
Grötschel, Martin +1 more
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Strong clique trees, neighborhood trees, and strongly chordal graphs
Journal of Graph Theory, 2000A graph is a strongly chordal graph, if it is chordal and every cycle of even length at least six has a chord that divides the cycle into two odd-length paths. Whereas maximal complete subgraphs and clique trees are central objects in the theory of chordal grahps, a simple notion of strong clique trees allows to extend this structure to strongly ...
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Distributed Approximation Algorithms for Steiner Tree in the CONGESTED CLIQUE
International Journal of Foundations of Computer Science, 2020The Steiner tree problem is one of the fundamental and classical problems in combinatorial optimization. In this paper we study this problem in the CONGESTED CLIQUE model (CCM) [29] of distributed computing. For the Steiner tree problem in the CCM, we consider that each vertex of the input graph is uniquely mapped to a processor and edges are ...
Parikshit Saikia, Sushanta Karmakar
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Cliques enumeration and tree-like resolution proofs
Information Processing Letters, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Information Processing Letters, 1988
\textit{J. Naor}, \textit{M. Naor} and \textit{A. A. Schaffer} [Proc. 19th Ann. ACM Symp. Theory Comput., 355-364 (1987)] proposed parallel algorithms for several problems on chordal graphs such as computing maximal cliques, a minimum coloring, a perfect elimination scheme and so on.
Ho, Chinwen, Lee, Richard C. T.
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\textit{J. Naor}, \textit{M. Naor} and \textit{A. A. Schaffer} [Proc. 19th Ann. ACM Symp. Theory Comput., 355-364 (1987)] proposed parallel algorithms for several problems on chordal graphs such as computing maximal cliques, a minimum coloring, a perfect elimination scheme and so on.
Ho, Chinwen, Lee, Richard C. T.
openaire +2 more sources

