Ishiki, Yoshito Simultaneous extensions of metrics and ultrametrics of high power. (English) Zbl 07707277 Topology Appl. 336, Article ID 108624, 37 p. (2023). MSC: 54E99 54E35 54C15 54C20 12J25 26E30 PDF BibTeX XML Cite \textit{Y. Ishiki}, Topology Appl. 336, Article ID 108624, 37 p. (2023; Zbl 07707277) Full Text: DOI arXiv
Ishiki, Yoshito Extending proper metrics. (English) Zbl 1508.54008 Topology Appl. 325, Article ID 108387, 11 p. (2023). Reviewer: Aleksey A. Dovgoshey (Slovyansk) MSC: 54C10 54E35 54E45 PDF BibTeX XML Cite \textit{Y. Ishiki}, Topology Appl. 325, Article ID 108387, 11 p. (2023; Zbl 1508.54008) Full Text: DOI arXiv
Lin, Bo; Monod, Anthea; Yoshida, Ruriko Tropical geometric variation of tree shapes. (English) Zbl 1507.14086 Discrete Comput. Geom. 68, No. 3, 817-849 (2022). MSC: 14T90 62R01 92-10 PDF BibTeX XML Cite \textit{B. Lin} et al., Discrete Comput. Geom. 68, No. 3, 817--849 (2022; Zbl 1507.14086) Full Text: DOI arXiv
Yoshida, Ruriko; Cox, Shelby Tree topologies along a tropical line segment. (English) Zbl 1485.14118 Vietnam J. Math. 50, No. 2, 395-419 (2022). MSC: 14T15 05C05 92D15 14T90 PDF BibTeX XML Cite \textit{R. Yoshida} and \textit{S. Cox}, Vietnam J. Math. 50, No. 2, 395--419 (2022; Zbl 1485.14118) Full Text: DOI arXiv
Dragovich, B.; Khrennikov, A. Yu.; Kozyrev, S. V.; Volovich, I. V. Giorgio Parisi: the Nobel Prize in Physics 2021. (English) Zbl 1489.01023 \(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. 1, 81-83 (2022). MSC: 01A70 82-03 PDF BibTeX XML Cite \textit{B. Dragovich} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. 1, 81--83 (2022; Zbl 1489.01023) Full Text: DOI
Bruckmann, Carmen; Stadler, Peter F.; Hellmuth, Marc From modular decomposition trees to rooted median graphs. (English) Zbl 1482.05038 Discrete Appl. Math. 310, 1-9 (2022). MSC: 05C05 05C70 05C90 PDF BibTeX XML Cite \textit{C. Bruckmann} et al., Discrete Appl. Math. 310, 1--9 (2022; Zbl 1482.05038) Full Text: DOI arXiv
Volov, V. T.; Zubarev, A. P. Toward ultrametric modeling of the epidemic spread. (English) Zbl 1457.92179 \(p\)-Adic Numbers Ultrametric Anal. Appl. 12, No. 3, 247-258 (2020). MSC: 92D30 11E95 PDF BibTeX XML Cite \textit{V. T. Volov} and \textit{A. P. Zubarev}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 12, No. 3, 247--258 (2020; Zbl 1457.92179) Full Text: DOI arXiv
Estala-Arias, Samuel Pseudodifferential operators and Markov processes on certain totally disconnected groups. (English) Zbl 1450.35310 Stat. Probab. Lett. 164, Article ID 108811, 10 p. (2020). MSC: 35S10 35K15 35K05 35K08 60J25 PDF BibTeX XML Cite \textit{S. Estala-Arias}, Stat. Probab. Lett. 164, Article ID 108811, 10 p. (2020; Zbl 1450.35310) Full Text: DOI
Aguilar-Arteaga, Victor A.; Estala-Arias, Samuel Pseudodifferential operators and Markov processes on adèles. (English) Zbl 1435.35424 \(p\)-Adic Numbers Ultrametric Anal. Appl. 11, No. 2, 89-113 (2019). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 35S05 11R56 47G30 60J25 PDF BibTeX XML Cite \textit{V. A. Aguilar-Arteaga} and \textit{S. Estala-Arias}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 11, No. 2, 89--113 (2019; Zbl 1435.35424) Full Text: DOI
Roux, Maurice A comparative study of divisive and agglomerative hierarchical clustering algorithms. (English) Zbl 1422.62227 J. Classif. 35, No. 2, 345-366 (2018). MSC: 62H30 62H20 PDF BibTeX XML Cite \textit{M. Roux}, J. Classif. 35, No. 2, 345--366 (2018; Zbl 1422.62227) Full Text: DOI arXiv HAL
Kuba, Gerald Counting ultrametric spaces. (English) Zbl 1406.54016 Colloq. Math. 152, No. 2, 217-234 (2018). Reviewer: Collins Agyingi (Port Elizabeth) MSC: 54E50 54G12 26A03 PDF BibTeX XML Cite \textit{G. Kuba}, Colloq. Math. 152, No. 2, 217--234 (2018; Zbl 1406.54016) Full Text: DOI
Lin, Bo; Yoshida, Ruriko Tropical Fermat-Weber points. (English) Zbl 1420.14148 SIAM J. Discrete Math. 32, No. 2, 1229-1245 (2018). MSC: 14T05 92B05 13P25 52B11 92B15 PDF BibTeX XML Cite \textit{B. Lin} and \textit{R. Yoshida}, SIAM J. Discrete Math. 32, No. 2, 1229--1245 (2018; Zbl 1420.14148) Full Text: DOI arXiv
Dragovich, Branko; Khrennikov, Andrei Yu.; Mišić, Nataša Ž. Ultrametrics in the genetic code and the genome. (English) Zbl 1411.92195 Appl. Math. Comput. 309, 350-358 (2017). MSC: 92D10 11S80 PDF BibTeX XML Cite \textit{B. Dragovich} et al., Appl. Math. Comput. 309, 350--358 (2017; Zbl 1411.92195) Full Text: DOI arXiv
Beyrer, Jonas; Schroeder, Victor Trees and ultrametric Möbius structures. (English) Zbl 1387.53022 \(p\)-Adic Numbers Ultrametric Anal. Appl. 9, No. 4, 247-256 (2017). MSC: 53A30 54E35 30L10 51B10 PDF BibTeX XML Cite \textit{J. Beyrer} and \textit{V. Schroeder}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 9, No. 4, 247--256 (2017; Zbl 1387.53022) Full Text: DOI arXiv
Aguilar-Arteaga, V. A.; Cruz-López, M.; Estala-Arias, S. A heat equation on some adic completions of \(\mathbb{Q}\) and ultrametric analysis. (English) Zbl 1393.46058 \(p\)-Adic Numbers Ultrametric Anal. Appl. 9, No. 3, 165-182 (2017). MSC: 46S10 47S10 26E30 PDF BibTeX XML Cite \textit{V. A. Aguilar-Arteaga} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 9, No. 3, 165--182 (2017; Zbl 1393.46058) Full Text: DOI arXiv
Aref’eva, I. Ya.; Djordjevic, G. S.; Khrennikov, A. Yu.; Kozyrev, S. V.; Rakic, Z.; Volovich, I. V. \(p\)-adic mathematical physics and B. Dragovich research. (English) Zbl 1364.81008 \(p\)-Adic Numbers Ultrametric Anal. Appl. 9, No. 1, 82-85 (2017). MSC: 81-03 01A70 81T30 PDF BibTeX XML Cite \textit{I. Ya. Aref'eva} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 9, No. 1, 82--85 (2017; Zbl 1364.81008) Full Text: DOI
Iurato, Giuseppe; Khrennikov, Andrei; Murtagh, F. Formal foundations for the origins of human consciousness. (English) Zbl 1407.91210 \(p\)-Adic Numbers Ultrametric Anal. Appl. 8, No. 4, 249-279 (2016). MSC: 91E30 26E30 11E95 PDF BibTeX XML Cite \textit{G. Iurato} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 8, No. 4, 249--279 (2016; Zbl 1407.91210) Full Text: DOI
Osipov, V. Al. Wavelet analysis on symbolic sequences and two-fold de Bruijn sequences. (English) Zbl 1348.65185 J. Stat. Phys. 164, No. 1, 142-165 (2016). MSC: 65T60 37N25 92D20 PDF BibTeX XML Cite \textit{V. Al. Osipov}, J. Stat. Phys. 164, No. 1, 142--165 (2016; Zbl 1348.65185) Full Text: DOI arXiv
Cruz-López, Manuel; Estala-Arias, Samuel Invariant ultrametrics and Markov processes on the finite adèle ring of \(\mathbb{Q}\). (English) Zbl 1370.11127 \(p\)-Adic Numbers Ultrametric Anal. Appl. 8, No. 2, 89-114 (2016). MSC: 11R56 60J05 60G50 PDF BibTeX XML Cite \textit{M. Cruz-López} and \textit{S. Estala-Arias}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 8, No. 2, 89--114 (2016; Zbl 1370.11127) Full Text: DOI
Slutsky, Konstantin Graev ultrametrics and free products of Polish groups. (English) Zbl 06578447 Forum Math. 28, No. 3, 437-456 (2016). MSC: 03E15 54H05 PDF BibTeX XML Cite \textit{K. Slutsky}, Forum Math. 28, No. 3, 437--456 (2016; Zbl 06578447) Full Text: DOI arXiv
Kozyrev, S. V. Ultrametricity in the theory of complex systems. (English. Russian original) Zbl 1342.93018 Theor. Math. Phys. 185, No. 2, 1665-1677 (2015); translation from Teor. Mat. Fiz. 185, No. 2, 346-360 (2015). MSC: 93A15 93A13 94C15 92D10 PDF BibTeX XML Cite \textit{S. V. Kozyrev}, Theor. Math. Phys. 185, No. 2, 1665--1677 (2015; Zbl 1342.93018); translation from Teor. Mat. Fiz. 185, No. 2, 346--360 (2015) Full Text: DOI
Zubarev, A. P. On stochastic generation of ultrametrics in high-dimensional Euclidean spaces. (English) Zbl 1315.60020 \(p\)-Adic Numbers Ultrametric Anal. Appl. 6, No. 2, 155-165 (2014). MSC: 60D05 54E35 82D30 PDF BibTeX XML Cite \textit{A. P. Zubarev}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 6, No. 2, 155--165 (2014; Zbl 1315.60020) Full Text: DOI arXiv
Lee, James R.; Mendel, Manor; Moharrami, Mohammad On the Hausdorff dimension of ultrametric subsets in \(\mathbb R^n\). (English) Zbl 1254.30093 Fundam. Math. 218, No. 3, 285-290 (2012). MSC: 30L05 PDF BibTeX XML Cite \textit{J. R. Lee} et al., Fundam. Math. 218, No. 3, 285--290 (2012; Zbl 1254.30093) Full Text: DOI arXiv
Stasyuk, I. Z.; Tymchatyn, E. D. Extending pairs of metrics. (English) Zbl 1296.54022 Mat. Stud. 35, No. 2, 215-224 (2011). MSC: 54C20 54E35 54E40 PDF BibTeX XML Cite \textit{I. Z. Stasyuk} and \textit{E. D. Tymchatyn}, Mat. Stud. 35, No. 2, 215--224 (2011; Zbl 1296.54022)
Gutkin, B.; Osipov, V. A. Spectral problem of block-rectangular hierarchical matrices. (English) Zbl 1218.82025 J. Stat. Phys. 143, No. 1, 72-87 (2011). Reviewer: Dominik Strzałka (Rzeszów) MSC: 82D30 82D99 15B99 PDF BibTeX XML Cite \textit{B. Gutkin} and \textit{V. A. Osipov}, J. Stat. Phys. 143, No. 1, 72--87 (2011; Zbl 1218.82025) Full Text: DOI arXiv
Stasyuk, I.; Tymchatyn, E. D. A continuous operator extending ultrametrics. (English) Zbl 1212.54091 Commentat. Math. Univ. Carol. 50, No. 1, 141-151 (2009). MSC: 54E35 54C20 54E40 PDF BibTeX XML Cite \textit{I. Stasyuk} and \textit{E. D. Tymchatyn}, Commentat. Math. Univ. Carol. 50, No. 1, 141--151 (2009; Zbl 1212.54091) Full Text: EuDML EMIS
Luzón, Ana; Morón, Manuel A. Ultrametrics, Banach’s fixed point theorem and the Riordan group. (English) Zbl 1152.54032 Discrete Appl. Math. 156, No. 14, 2620-2635 (2008). Reviewer: Zhang Xian (Xiamen) MSC: 05E15 47H10 PDF BibTeX XML Cite \textit{A. Luzón} and \textit{M. A. Morón}, Discrete Appl. Math. 156, No. 14, 2620--2635 (2008; Zbl 1152.54032) Full Text: DOI
Lavrenyuk, Yaroslav Classification of the local isometry groups of rooted tree boundaries. (English) Zbl 1164.05333 Algebra Discrete Math. 2007, No. 2, 104-110 (2007). MSC: 05C05 20E08 20F28 PDF BibTeX XML Cite \textit{Y. Lavrenyuk}, Algebra Discrete Math. 2007, No. 2, 104--110 (2007; Zbl 1164.05333)
Chepoi, Victor; Fichet, Bernard A note on three-way dissimilarities and their relationship with two-way dissimilarities. (English) Zbl 1170.62337 Brito, Paula (ed.) et al., Selected contributions in data analysis and classification. In honour of Edwin Diday. With a foreword by Yves Escoufier. Berlin: Springer (ISBN 978-3-540-73558-8/pbk). Studies in Classification, Data Analysis, and Knowledge Organization, 465-475 (2007). MSC: 62H30 PDF BibTeX XML Cite \textit{V. Chepoi} and \textit{B. Fichet}, in: Selected contributions in data analysis and classification. In honour of Edwin Diday. With a foreword by Yves Escoufier. Berlin: Springer. 465--475 (2007; Zbl 1170.62337) Full Text: DOI Backlinks: MO
Stasyuk, I. Z. Operators of simultaneous extension of partial ultrametrics. (Ukrainian) Zbl 1126.28301 Mat. Metody Fiz.-Mekh. Polya 49, No. 2, 27-32 (2006). Reviewer: V. V. Vlasov (Moskva) MSC: 28C99 PDF BibTeX XML Cite \textit{I. Z. Stasyuk}, Mat. Metody Fiz.-Mekh. Polya 49, No. 2, 27--32 (2006; Zbl 1126.28301)
Pavoine, S.; Ollier, S.; Pontier, D. Measuring diversity from dissimilarities with Rao’s quadratic entropy: are any dissimilarities suitable? (English) Zbl 1073.62105 Theor. Popul. Biol. 67, No. 4, 231-239 (2005). MSC: 62P10 62B10 92B15 PDF BibTeX XML Cite \textit{S. Pavoine} et al., Theor. Popul. Biol. 67, No. 4, 231--239 (2005; Zbl 1073.62105) Full Text: DOI
Dress, A.; Holland, B.; Huber, K. T.; Koolen, J. H.; Moulton, V.; Weyer-Menkhoff, J. \(\Delta\) additive and \(\Delta\) ultra-additive maps, Gromov’s trees, and the Farris transform. (English) Zbl 1056.92042 Discrete Appl. Math. 146, No. 1, 51-73 (2005). MSC: 92D15 20F65 05C05 57M05 54E35 05C90 57M99 PDF BibTeX XML Cite \textit{A. Dress} et al., Discrete Appl. Math. 146, No. 1, 51--73 (2005; Zbl 1056.92042) Full Text: DOI
Arbeláez, Pablo Andrés; Cohen, Laurent D. Color image segmentation by Voronoi partitions. (Segmentation d’images couleur par partitions de Voronoï.) (French) Zbl 1087.94005 Trait. Signal 21, No. 5, Spec. Iss., 407-422 (2004). MSC: 94A08 PDF BibTeX XML Cite \textit{P. A. Arbeláez} and \textit{L. D. Cohen}, Trait. Signal 21, No. 5, 407--422 (2004; Zbl 1087.94005)
Marcu, Dănuţ A study on metrics and statistical analysis. (English) Zbl 1073.54515 Stud. Univ. Babeș-Bolyai, Math. 49, No. 3, 43-74 (2004). MSC: 54E35 PDF BibTeX XML Cite \textit{D. Marcu}, Stud. Univ. Babeș-Bolyai, Math. 49, No. 3, 43--74 (2004; Zbl 1073.54515)
Stasyuk, I. Z. On a homogeneous operator extending partial ultrametrics. (English) Zbl 1067.54019 Mat. Stud. 22, No. 1, 73-78 (2004). MSC: 54E35 54E40 PDF BibTeX XML Cite \textit{I. Z. Stasyuk}, Mat. Stud. 22, No. 1, 73--78 (2004; Zbl 1067.54019)
Delcroix, Antoine; Hasler, Maximilian F.; Pilipovic, Stevan; Valmorin, Vincent Generalized function algebras as sequence space algebras. (English) Zbl 1052.46002 Proc. Am. Math. Soc. 132, No. 7, 2031-2038 (2004). MSC: 46A45 46F30 46E10 46A13 46A50 46E35 46F05 PDF BibTeX XML Cite \textit{A. Delcroix} et al., Proc. Am. Math. Soc. 132, No. 7, 2031--2038 (2004; Zbl 1052.46002) Full Text: DOI arXiv
Arbeláez, Pablo Andrés; Cohen, Laurent D. Energy partitions and image segmentation. (English) Zbl 1366.94044 J. Math. Imaging Vis. 20, No. 1-2, 43-57 (2004). MSC: 94A08 68T45 68U10 PDF BibTeX XML Cite \textit{P. A. Arbeláez} and \textit{L. D. Cohen}, J. Math. Imaging Vis. 20, No. 1--2, 43--57 (2004; Zbl 1366.94044) Full Text: DOI
Hattori, Yasunao Special metrics. (English) Zbl 0992.54001 Simon, Petr (ed.), Proceedings of the 9th Prague topological symposium, Prague, Czech Republic, August 19-25, 2001. Toronto: Topology Atlas. 155-164, electronic only (2002). Reviewer: Jerry E.Vaughan (Greensboro) MSC: 54-02 54E35 54E40 PDF BibTeX XML Cite \textit{Y. Hattori}, in: Proceedings of the 9th Prague topological symposium, Prague, Czech Republic, August 19--25, 2001. Toronto: Topology Atlas. 155--164 (2002; Zbl 0992.54001) Full Text: arXiv EMIS
Fichet, B. A short optimal way for constructing quasi-ultrametrics from some particular dissimilarities. (English) Zbl 1027.62048 Kiers, Henk A. L. (ed.) et al., Data analysis, classification, and related methods. Papers from the 7th conference of the International Federation of Classification Societies (IFCS-2000), Namur, Belgium, July 11-14, 2000. Berlin: Springer. Studies in Classification, Data Analysis, and Knowledge Organization. 137-141 (2000). MSC: 62H30 54E35 PDF BibTeX XML Cite \textit{B. Fichet}, in: Data analysis, classification, and related methods. Papers from the 7th conference of the International Federation of Classification Societies (IFCS-2000), Namur, Belgium, July 11--14, 2000. Berlin: Springer. 137--141 (2000; Zbl 1027.62048)
Smith, Thomas J. \(L_1\) optimization under linear inequality constraints. (English) Zbl 1027.90118 J. Classif. 17, No. 2, 225-242 (2000). MSC: 90C90 PDF BibTeX XML Cite \textit{T. J. Smith}, J. Classif. 17, No. 2, 225--242 (2000; Zbl 1027.90118) Full Text: DOI
Rizzi, Alfredo Ultrametrics and \(p\)-adic numbers. (English) Zbl 1015.11512 Orman, Gabriel V. (ed.) et al., Proceedings of the 2nd international conference on symmetry and antisymmetry in mathematics, formal languages and computer science, satellite conference of 3ECM, Braşov, Romania, June 29-July 1, 2000. Braşov: Editura Universităţii Transilvania. 21-30 (2000). MSC: 11S99 00A69 68T10 PDF BibTeX XML Cite \textit{A. Rizzi}, in: Proceedings of the 2nd international conference on symmetry and antisymmetry in mathematics, formal languages and computer science, satellite conference of 3ECM, Braşov, Romania, June 29--July 1, 2000. Braşov: Editura Universităţii Transilvania. 21--30 (2000; Zbl 1015.11512)
Vaughan, Jerry E. Universal ultrametric spaces of smallest weight. (English) Zbl 1026.54030 Topol. Proc. 24(Summer), 611-619 (1999). MSC: 54E35 03E10 54A35 PDF BibTeX XML Cite \textit{J. E. Vaughan}, Topol. Proc. 24(Summer), 611--619 (1999; Zbl 1026.54030)
Böcker, Sebastian; Dress, Andreas W. M. Recovering symbolically dated, rooted trees from symbolic ultrametrics. (English) Zbl 0912.05031 Adv. Math. 138, No. 1, 105-125 (1998); erratum ibid. 144, 117-118 (1999). Reviewer: C.Jagger (Cambridge) MSC: 05C05 PDF BibTeX XML Cite \textit{S. Böcker} and \textit{A. W. M. Dress}, Adv. Math. 138, No. 1, 105--125 (1998; Zbl 0912.05031) Full Text: DOI Link
Heckmanns, Ulrich On the topology of ultrametric spaces. (English) Zbl 0915.54025 Simon, Petr (ed.), Proceedings of the 8th Prague topological symposium, Prague, Czech Republic, August 18–24, 1996. North Bay, ON: Topology Atlas, 149-156 (1997). Reviewer: Hans-Christian Reichel (Wien) MSC: 54E99 54H13 54F99 PDF BibTeX XML Cite \textit{U. Heckmanns}, in: Proceedings of the 8th Prague topological symposium, Prague, Czech Republic, August 18--24, 1996. North Bay, ON: Topology Atlas. 149--156 (1997; Zbl 0915.54025) Full Text: Link
Heckmanns, Ulrich Aspects of ultrametric spaces. (English) Zbl 0857.54026 München: Univ. München, Fak. Math. 121 p. (1996). Reviewer: H.-J.Kowalsky (Braunschweig) MSC: 54E35 12J20 PDF BibTeX XML Cite \textit{U. Heckmanns}, Aspects of ultrametric spaces. München: Univ. München, Fak. Math. (1996; Zbl 0857.54026)
Baydaa, Al Ayoubi Theoretical study of the set of type \(M_ 1\) distances used in data analysis. (Étude théorique de l’ensemble des distances de type \(M_ 1\) utilisées en analyse des données.) (French) Zbl 0885.62003 Metron 54, No. 3-4, 157-186 (1996). MSC: 62-07 62A09 PDF BibTeX XML Cite \textit{A. A. Baydaa}, Metron 54, No. 3--4, 157--186 (1996; Zbl 0885.62003)
Hubert, Lawrence; Arabie, Phipps Iterative projection strategies for the least-squares fitting of tree structures to proximity data. (English) Zbl 0858.62002 Br. J. Math. Stat. Psychol. 48, No. 2, 281-317 (1995). MSC: 62-07 91C20 90C90 62H30 PDF BibTeX XML Cite \textit{L. Hubert} and \textit{P. Arabie}, Br. J. Math. Stat. Psychol. 48, No. 2, 281--317 (1995; Zbl 0858.62002) Full Text: DOI
Bertrand, P. Structural properties of pyramidal clustering. (English) Zbl 0814.62032 Cox, Ingemar J. (ed.) et al., Partitioning data sets. Papers from a workshop held at DIMACS at Rutgers University, New Brunswick, NJ, USA, April 19-21, 1993. Providence, RI: American Mathematical Society. DIMACS, Ser. Discrete Math. Theor. Comput. Sci. 19, 35-53 (1995). MSC: 62H30 06A05 91C20 PDF BibTeX XML Cite \textit{P. Bertrand}, DIMACS, Ser. Discrete Math. Theor. Comput. Sci. 19, 35--53 (1995; Zbl 0814.62032)
Critchley, Frank On exchangeability-based equivalence relations induced by strongly Robinson and, in particular, by quadripolar Robinson dissimilarity matrices. (English) Zbl 0847.62049 Cutsem, Bernard van (ed.), Classification and dissimilarity analysis. Berlin: Springer-Verlag. Lect. Notes Stat., Springer-Verlag. 93, 173-199 (1994). MSC: 62H30 91C20 15A99 PDF BibTeX XML Cite \textit{F. Critchley}, in: Classification and dissimilarity analysis. Berlin: Springer-Verlag. 173--199 (1994; Zbl 0847.62049)
Leclerc, Bruno The residuation model for the ordinal construction of dissimilarities and other valued objects. (English) Zbl 0832.62057 Cutsem, Bernard van (ed.), Classification and dissimilarity analysis. Berlin: Springer-Verlag. Lect. Notes Stat., Springer-Verlag. 93, 149-172 (1994). MSC: 62H30 06A15 06B99 91C20 PDF BibTeX XML Cite \textit{B. Leclerc}, in: Classification and dissimilarity analysis. Berlin: Springer-Verlag. 149--172 (1994; Zbl 0832.62057)
Critchley, Frank; Van Cutsem, Bernard An order-theoretic unification and generalisation of certain fundamental bijections in mathematical classification. II. (English) Zbl 0842.62047 Cutsem, Bernard van (ed.), Classification and dissimilarity analysis. Berlin: Springer-Verlag. Lect. Notes Stat., Springer-Verlag. 93, 121-147 (1994). MSC: 62H30 06A05 PDF BibTeX XML Cite \textit{F. Critchley} and \textit{B. Van Cutsem}, in: Classification and dissimilarity analysis. Berlin: Springer-Verlag. 121--147 (1994; Zbl 0842.62047)
Critchley, Frank; Fichet, Bernard The partial order by inclusion of the principal classes of dissimilarity on a finite set, and some of their basic properties. (English) Zbl 0847.62048 Cutsem, Bernard van (ed.), Classification and dissimilarity analysis. Berlin: Springer-Verlag. Lect. Notes Stat., Springer-Verlag. 93, 5-65 (1994). MSC: 62H30 54E99 52B99 91C20 PDF BibTeX XML Cite \textit{F. Critchley} and \textit{B. Fichet}, in: Classification and dissimilarity analysis. Berlin: Springer-Verlag. 5--65 (1994; Zbl 0847.62048)
Brossier, Gildas Partial dissimilarities with application to clustering. (English) Zbl 0815.62035 J. Classif. 11, No. 1, 37-58 (1994). MSC: 62H30 91C20 PDF BibTeX XML Cite \textit{G. Brossier}, J. Classif. 11, No. 1, 37--58 (1994; Zbl 0815.62035) Full Text: DOI
Michon, G.; Peyrière, J. Thermodynamics of self-similar Cantor sets. (Thermodynamique des ensembles de Cantor autosimilaires.) (French) Zbl 0848.54023 Chin. Ann. Math., Ser. B 15, No. 3, 253-272 (1994). MSC: 54F65 82B03 54F45 05C50 PDF BibTeX XML Cite \textit{G. Michon} and \textit{J. Peyrière}, Chin. Ann. Math., Ser. B 15, No. 3, 253--272 (1994; Zbl 0848.54023)
Genkin, Alexander V.; Muchnik, Ilya B. Fixed points approach to clustering. (English) Zbl 0812.92027 J. Classif. 10, No. 2, 219-240 (1993). MSC: 91C20 62H30 PDF BibTeX XML Cite \textit{A. V. Genkin} and \textit{I. B. Muchnik}, J. Classif. 10, No. 2, 219--240 (1993; Zbl 0812.92027) Full Text: DOI
Vach, Werner; Degens, Paul O. A new approach to isotonic agglomerative hierarchical clustering. (English) Zbl 0777.92026 J. Classif. 8, No. 2, 217-237 (1991). Reviewer: L.Niepel (Bratislava) MSC: 91C20 62H30 PDF BibTeX XML Cite \textit{W. Vach} and \textit{P. O. Degens}, J. Classif. 8, No. 2, 217--237 (1991; Zbl 0777.92026) Full Text: DOI
Bayod, José M.; Martínez-Maurica, J. Subdominant ultrametrics. (English) Zbl 0705.54022 Proc. Am. Math. Soc. 109, No. 3, 829-834 (1990). Reviewer: M.Hušek MSC: 54E35 54G20 54E45 54A10 PDF BibTeX XML Cite \textit{J. M. Bayod} and \textit{J. Martínez-Maurica}, Proc. Am. Math. Soc. 109, No. 3, 829--834 (1990; Zbl 0705.54022) Full Text: DOI
van Cutsem, B. Minimal superior ultrametrics under order constraint. (English) Zbl 0699.62062 Discrete Math. 84, No. 2, 201-204 (1990). MSC: 62H30 62H99 PDF BibTeX XML Cite \textit{B. van Cutsem}, Discrete Math. 84, No. 2, 201--204 (1990; Zbl 0699.62062) Full Text: DOI
Batbedat, André Les isomorphismes HTS et HTE. (The HTS and HTE isomorphisms). (French) Zbl 0724.05055 Metron 46, No. 1-4, 47-59 (1988). MSC: 05C65 62-07 PDF BibTeX XML Cite \textit{A. Batbedat}, Metron 46, No. 1--4, 47--59 (1988; Zbl 0724.05055)
Leclerc, Bruno Caractérisation, construction et dénombrement des ultramétriques supérieures minimales. (Characterization, construction and enumeration of dominating minimal ultrametrics). (French) Zbl 0624.62056 Stat. Anal. Données 11, No. 2, 26-50 (1986). MSC: 62H30 05C05 PDF BibTeX XML Cite \textit{B. Leclerc}, Stat. Anal. Données 11, No. 2, 26--50 (1986; Zbl 0624.62056) Full Text: EuDML
Diday, E. Une représentation visuelle des classes empiétantes: les pyramides. (A visual representation of overlapping classes: the pyramids). (French) Zbl 0592.62052 RAIRO, Autom. Prod. Inf. Ind. 20, 475-526 (1986). MSC: 62H30 62-07 PDF BibTeX XML Cite \textit{E. Diday}, RAIRO, Autom. Prod. Inf. Ind. 20, 475--526 (1986; Zbl 0592.62052)
Degens, P. O. Ultrametric approximation to distances. (English) Zbl 0615.62079 Comput. Stat. Q. 2, 93-101 (1985). MSC: 62H30 PDF BibTeX XML Cite \textit{P. O. Degens}, Comput. Stat. Q. 2, 93--101 (1985; Zbl 0615.62079)
Barthelemy, J. P.; Leclerc, B.; Monjardet, B. Ensembles ordonnés et taxonomie mathématique. (French) Zbl 0566.62051 Orders: description and roles, Proc. Conf., Ordered sets appl., l’Arbresle/France 1982, Ann. Discrete Math. 23, 523-548 (1984). Reviewer: M.Bertrand MSC: 62H30 06B99 06A99 06A12 PDF BibTeX XML
Barthelemy, J. P.; Leclerc, B.; Monjardet, B. Quelques aspects du consensus en classification. (French) Zbl 0566.62047 Data analysis and informatics III, Proc. 3rd Int. Symp., Versailles 1983, 307-316 (1984). MSC: 62H30 PDF BibTeX XML
Diday, E.; Moreau, J. V. Learning hierarchical clustering from examples. Application to the adaptive construction of dissimilarity indices. (English) Zbl 0564.62052 Pattern Recognition Lett. 2, 365-378 (1984). Reviewer: W.Pedrycz MSC: 62H30 68T10 PDF BibTeX XML Cite \textit{E. Diday} and \textit{J. V. Moreau}, Pattern Recognit. Lett. 2, 365--378 (1984; Zbl 0564.62052) Full Text: DOI
Ştefănescu, Maria Viorica Mathematical basis of total hierarchical clustering. (English) Zbl 0564.62050 Econ. Comput. Econ. Cybern. Stud. Res. 1984, No. 4, 55-60 (1984). Reviewer: L.Kaufman MSC: 62H30 03D55 68T10 PDF BibTeX XML Cite \textit{M. V. Ştefănescu}, Econ. Comput. Econ. Cybern. Stud. Res. 1984, No. 4, 55--60 (1984; Zbl 0564.62050)
van Cutsem, Bernard Ultramétrique, distances, \(\Phi\)-distances maximum dominées par une dissimilarité donnée. (French) Zbl 0585.62110 Stat. Anal. Données 8, No. 2, 42-63 (1983). MSC: 62H30 15A30 PDF BibTeX XML Cite \textit{B. van Cutsem}, Stat. Anal. Données 8, No. 2, 42--63 (1983; Zbl 0585.62110) Full Text: EuDML
Diday, Edwin Inversions en classification hiérarchique: Application à la construction adaptative d’indices d’agregation. (English) Zbl 0538.62052 Rev. Stat. Appl. 31, No. 1, 45-62 (1983). MSC: 62H30 PDF BibTeX XML Cite \textit{E. Diday}, Rev. Stat. Appl. 31, No. 1, 45--62 (1983; Zbl 0538.62052) Full Text: Numdam EuDML
Diday, Edwin Croisements, ordres et ultrametriques. (French) Zbl 0528.62056 Math. Sci. Hum. 83, 31-54 (1983). MSC: 62H30 68T10 PDF BibTeX XML Cite \textit{E. Diday}, Math. Sci. Hum. 83, 31--54 (1983; Zbl 0528.62056) Full Text: Numdam EuDML
Mittas, Jean Valued and hypervalued canonical hypergroups – strongly and superior canonicaal hypergroups. (Hypergroupes canoniques valués et hypervalués – hypergroupes fortement et supérieurement canoniques.) (French) Zbl 0602.20064 Bull. Greek Math. Soc. 23, 55-88 (1982). Reviewer: Đ.Kurepa MSC: 20N20 54A05 PDF BibTeX XML Cite \textit{J. Mittas}, Bull. Greek Math. Soc. 23, 55--88 (1982; Zbl 0602.20064) Full Text: EuDML
Benzecri, J.-P. L’analyse des données. I: La taxinomie. 3e ed. comportant de nouveaux programmes. Avec collab. (French) Zbl 0503.62002 Paris: Dunod. VIII, 625 p. (1980). MSC: 62-07 62H30 62-02 62-04 PDF BibTeX XML
Leclerc, Bruno Semi-modularite des treillis d’ultrametriques. (French) Zbl 0414.06008 C. R. Acad. Sci., Paris, Sér. A 288, 575-577 (1979). MSC: 06C10 06F30 PDF BibTeX XML Cite \textit{B. Leclerc}, C. R. Acad. Sci., Paris, Sér. A 288, 575--577 (1979; Zbl 0414.06008)