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Armen Asratian

My research interests are in graph theory, operations research, and combinatorics.

  • Graph theory; in particular problems of hamiltonian graph theory and edge coloring problems
  • Operations research; in particular problems of existence and transformations of timetables
  • Combinatorics; in particular Latin squares and their transformations, transversal theory

CV

一本道

  • Master of Science in Applied Mathematics, Yerevan State University, Yerevan, Armenia, 1973
  • Ph.D. in Mathematics, Moscow State University, Moscow, 1980
  • Docent in Mathematical Cybernetics, Yerevan State University, 1986
  • Docent in Mathematics, Lule氓 University of Technology, Sweden, 1997

Employment

  • 11.07.2018-present: Professor Emeritus, Department of Mathematics, Link枚ping University
  • 1.01.2003-10.07.2018: Full Professor, Department of Mathematics, Link枚ping University
  • 14. 02. 2001-31.12.2002: Full Professor, Department of Mathematics, Lule氓 University of Technology, Sweden
  • 1996- 13.02.2001: Associate Professor, Department of Mathematics, Lule氓 University of Technology
  • 1984 - 1995: Associate Professor, Yerevan State University, Armenia
  • 1982-1984: Assistant Professor, Yerevan State University
  • 1976-1982: Group Director of the laboratory of theoretical cybernetics, Yerevan State University

Visiting positions

  • 1.06.1992-1.08.1992: Visiting Professor, University of Waterloo (Canada)
  • 21.11.1992- 21.05.1993: Researcher, University of Twente (Holland)
  • 1.09. 1993 - 1.03. 1995: Researcher, Ume氓 University (Sweden)
  • 1.06.95-30.06.95, 1.09. 1995 - 30.12. 1995: Lecturer, Ume氓 University (Sweden)

Books

  • A.S.Asratian, T.M.J. Denley and R. H盲ggkvist, (Hardback), Cambridge Tracts in Mathematics 131, Cambridge Univ. Press, 1998, 272 pp.
  • A.S.Asratian, T.M.J. Denley and R. H盲ggkvist, (Paperback), Cambridge Tracts in Mathematics 131, Cambridge Univ. Press, 2008, 272 pp.
  • A. Asratian, A. Bj枚rn and B.O. Turesson, , Textbook, Liber, Stockholm, 2020, 344 pp. (in Swedish)
  • A. Asratian and G. Akopian, Problems and exercises of graph theory, Textbook, Yerevan University Press, 1985, 70 pp. (in Armenian)

Doctoral theses supervised

  • N. Khachatrian, Local algorithms and stability in the problem of hamiltonicity of a graph, Minsk, 1988.
  • R. Kamalian, Interval edge colorings of graphs, Novosibirsk, 1990.
  • A. Mirumyan, Algorithms of transformations in design of experiments and related problems, Yerevan, 1992.
  • G. Sarkisian, Hamiltonian properties of graphs with local Ore-type conditions, Yerevan, 1996
  • N. Oksimets, Some properties of eulerian and hamiltonian graphs, Ume氓 University, 2003 (joint supervision with Professor R. H盲ggkvist)
  • C.J. Casselgren, On some graph coloring problems, Ume氓 University, 2011 (joint supervision with Professor R. H盲ggkvist)
  • J.B. Granholm, Local conditions for long cycles in graphs, Link枚ping University, 2021 (joint supervision with Docent C.J. Casselgren)

Teaching experience

  • Courses taught in Linear Algebra, Analytic Geometry, Discrete Mathematics, Calculus, Operations Research, Combinatorial Optimization, Graph Theory and Combinatorics.

Research

A 3-edge-coloring of the Desargues graph. Created by: Koko90. CC BY-SA 3.0. https://en.wikipedia.org/wiki/Edge_coloring#/media/

Graph Theory

The research group in graph theory at 一本道 University is primarily interested in classic graph theory with a particular focus on graph coloring and Hamiltonian graph theory.

Organisation

A tiling of the hyperbolic plane. CRED: By Claudio Rocchini - Own work, CC BY 2.5, https://commons.wikimedia.org/w/index.php?curid=1669501.

Algebra, Geometry and Discrete Mathematics (ALGD)

Our research focuses on a number of different subject areas such as algebra, geometry, topology, dynamic systems, combinatorics and graph theory. The division consists of about twenty teachers, researchers and doctoral students.
Fractal Plant

Department of Mathematics (MAI)

The department conducts research in computational mathematics, mathematics and applied mathematics, mathematical statistics, and optimization. We provide courses to students in most degree programmes in mathematics, science and engineering.
Studenthuset on Campus Valla in Link枚ping

About LiU

一本道 University, LiU, offers innovative education and boundary-crossing research. The students are among the most desirable in the labour market and international rankings consistently place LiU as a leading global university.