Bertrand, Patrice; Diatta, Jean An interval convexity-based framework for multilevel clustering with applications to single-linkage clustering. (English) Zbl 07794314 Discrete Appl. Math. 342, 38-63 (2024). MSC: 62-XX 68-XX PDFBibTeX XMLCite \textit{P. Bertrand} and \textit{J. Diatta}, Discrete Appl. Math. 342, 38--63 (2024; Zbl 07794314) Full Text: DOI
Bertrand, Patrice; Diatta, Jean Multilevel clustering models and interval convexities. (English) Zbl 1403.62113 Discrete Appl. Math. 222, 54-66 (2017). MSC: 62H30 PDFBibTeX XMLCite \textit{P. Bertrand} and \textit{J. Diatta}, Discrete Appl. Math. 222, 54--66 (2017; Zbl 1403.62113) Full Text: DOI
Bertrand, Patrice; Diatta, Jean Weak hierarchies: a central clustering structure. (English) Zbl 1365.62231 Aleskerov, Fuad (ed.) et al., Clusters, orders, and trees: methods and applications. In honor of Boris Mirkin’s 70th birthday. Collected papers based on the presentations at the international workshop, Moscow, Russia, December 12–13, 2012. New York, NY: Springer (ISBN 978-1-4939-0741-0/hbk; 978-1-4939-0742-7/ebook). Springer Optimization and Its Applications 92, 211-230 (2014). MSC: 62H30 68T05 68T10 68T30 PDFBibTeX XMLCite \textit{P. Bertrand} and \textit{J. Diatta}, Springer Optim. Appl. 92, 211--230 (2014; Zbl 1365.62231) Full Text: DOI
Bertrand, P. Systems of sets such that each set properly intersects at most one other set – application to cluster analysis. (English) Zbl 1295.05247 Discrete Appl. Math. 156, No. 8, 1220-1236 (2008). MSC: 05D05 62H30 PDFBibTeX XMLCite \textit{P. Bertrand}, Discrete Appl. Math. 156, No. 8, 1220--1236 (2008; Zbl 1295.05247) Full Text: DOI
Bertrand, P.; Janowitz, M. F. The \(k\)-weak hierarchical representations: An extension of the indexed closed weak hierarchies. (English) Zbl 1012.62067 Discrete Appl. Math. 127, No. 2, 199-220 (2003). MSC: 62H30 91C20 PDFBibTeX XMLCite \textit{P. Bertrand} and \textit{M. F. Janowitz}, Discrete Appl. Math. 127, No. 2, 199--220 (2003; Zbl 1012.62067) Full Text: DOI
Bertrand, P.; Janowitz, M. F. Pyramids and weak hierarchies in the ordinal model for clustering. (English) Zbl 1040.62052 Discrete Appl. Math. 122, No. 1-3, 55-81 (2002). MSC: 62H30 PDFBibTeX XMLCite \textit{P. Bertrand} and \textit{M. F. Janowitz}, Discrete Appl. Math. 122, No. 1--3, 55--81 (2002; Zbl 1040.62052) Full Text: DOI