Clusters, Orders, and Trees: Methods and Applications

In Honor of Boris Mirkin's 70th Birthday

  • Fuad Aleskerov
  • Boris Goldengorin
  • Panos M. Pardalos

Part of the Springer Optimization and Its Applications book series (SOIA, volume 92)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Classification and Cluster

    1. Front Matter
      Pages 11-11
    2. Rodrigo F. Toso, Evgeny V. Bauman, Casimir A. Kulikowski, Ilya B. Muchnik
      Pages 51-62
    3. F. R. McMorris, Henry Martyn Mulder, Fred S. Roberts
      Pages 63-75
    4. Boris Goldengorin, Anton Kocheturov, Panos M. Pardalos
      Pages 77-89
    5. Sergey Arkhangelskiy, Ilya Muchnik
      Pages 91-102
    6. Renato Cordeiro de Amorim, Boris Mirkin
      Pages 103-117
    7. Vijay Pappu, Panos M. Pardalos
      Pages 119-150
    8. Maria Brigida Ferraro, Mario Rosario Guarracino
      Pages 167-180
    9. Boris Mirkin, Andrey Shestakov
      Pages 181-185
  3. Order and Tree

    1. Front Matter
      Pages 187-187
    2. Alain Guénoche
      Pages 189-199
    3. F. R. McMorris, R. C. Powers
      Pages 201-210
    4. Patrice Bertrand, Jean Diatta
      Pages 211-230
    5. Fionn Murtagh
      Pages 249-272
  4. Measurement

    1. Front Matter
      Pages 295-295
    2. Ekaterina Chernyak, Boris Mirkin
      Pages 331-340
    3. Boris A. Galitsky, Boris Kovalerchuk
      Pages 341-376
    4. Elena Chernousova, Nikolay Razin, Olga Krasotkina, Vadim Mottl, David Windridge
      Pages 377-390
    5. Yuliya A. Veselova
      Pages 391-404

About this book


The volume is dedicated to Boris Mirkin on the occasion of his 70th birthday. In addition to his startling PhD results in abstract automata theory, Mirkin’s ground breaking contributions in various fields of decision making and data analysis have marked the fourth quarter of the 20th century and beyond. Mirkin has done pioneering work in group choice, clustering, data mining and knowledge discovery aimed at finding and describing non-trivial or hidden structures—first of all, clusters, orderings, and hierarchies—in multivariate and/or network data.

This volume contains a collection of papers reflecting recent developments rooted in Mirkin's fundamental contribution to the state-of-the-art in group choice, ordering, clustering, data mining, and knowledge discovery. Researchers, students, and software engineers will benefit from new knowledge discovery techniques and application directions.


artificial intelligence data analysis mathematical programming operations research theory of computing theory of data

Editors and affiliations

  • Fuad Aleskerov
    • 1
  • Boris Goldengorin
    • 2
  • Panos M. Pardalos
    • 3
  1. 1.Department of Higher MathematicsNational Research University Higher School of EconomicsMoscowRussia
  2. 2.Department of OperationsUniversity of GroningenThe Netherlands
  3. 3.Department of Industrial and Systems EngUniversity of FloridaGainesvilleUSA

Bibliographic information