World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
32
Citations
11138
World Ranking
3095
National Ranking
55

Overview

Abraham Berman is affiliated with the Technion - Israel Institute of Technology in Israel. Their research primarily intersects the fields of mathematics and computer science, with a focus on various subfields such as geometry and topology, computational theory and mathematics, education, artificial intelligence, and mathematical physics.

The scientist's work spans several main research topics, including:

  • Graph theory and applications
  • Graph labeling and dimension problems
  • Matrix theory and algorithms
  • Finite group theory research
  • Mathematics education and teaching techniques
  • Graph theory and CDMA systems
  • Spectral theory in mathematical physics

Berman has contributed to at least five recent papers published between 2021 and 2024. These include:

  • "New constructions of nonregular cospectral graphs" (2024) in Special Matrices
  • "Using scaffolds in support of teachers as task designers in geometry: a case study" (2022) in International Journal of Mathematical Education in Science and Technology
  • "Triangle-free graphs and completely positive matrices" (2021) in Central European Journal of Operations Research
  • "The graphs of pyramids are determined by their spectrum" (2024) in Linear Algebra and its Applications
  • "Lights Out on graphs" (2021) in Mathematische Semesterberichte

The journal venues where Berman frequently publishes include arXiv (Cornell University), Linear Algebra and its Applications, and Special Matrices, among others. This range spans theoretical and applied mathematics as well as educational research.

Berman has collaborated frequently with several co-authors, such as:

  • Н. Крупник
  • Suleiman Hamud
  • Naomi Shaked-Monderer
  • Igal Sason
  • Mirit Rachamim

Regarding book publications, Berman authored a book titled A Problem Based Journey from Elementary Number Theory to an Introduction to Matrix Theory, published by World Scientific in 2020.

Best Publications

  • Nonnegative Matrices in the Mathematical Sciences

    Abraham Berman

  • Nonnegative matrices in dynamic systems

    Abraham Berman;Michael Neumann;Ronald J. Stern

  • Completely Positive Matrices

    Abraham Berman;Naomi Shaked-Monderer

  • Positive diagonal solutions to the Lyapunov equations

    George Phillip Barker;Abraham Berman;Robert J. Plemmons

  • CHAPTER 2 – NONNEGATIVE MATRICES

    Abraham Berman

  • On the Spectral Radius of Graphs with Cut Vertices

    Abraham Berman;Xiao-Dong Zhang

  • Cones and Iterative Methods for Best Least Squares Solutions of Linear Systems

    Abraham Berman;Plemmons Robert J

  • Creativity in Mathematics and the Education of Gifted Students

    Roza Leikin;Abraham Berman;Boris Koichu

  • Cones, matrices and mathematical programming

    Abraham Berman

  • Some properties of strong H-tensors and general H-tensors

    M. Rajesh Kannan;Naomi Shaked-Monderer;Abraham Berman

  • Matrix Diagonal Stability and Its Implications

    Abraham Berman;Daniel Hershkowitz

  • SEMIGROUPS OF NONNEGATIVE MATRICES

    Abraham Berman;Robert J. Plemmons

  • Lower bounds for the eigenvalues of Laplacian matrices

    Abraham Berman;Xiao-Dong Zhang

  • Characterization of completely positive graphs

    Natalia Kogan;Abraham Berman

  • Monotonicity and the Generalized Inverse

    Abraham Berman;Robert J. Plemmons

  • Proper Splittings of Rectangular Matrices

    Abraham Berman;Michael Neumann

  • Combinatorial Results on Completely Positive Matrices

    Abraham Berman;Daniel Hershkowitz

  • An interior points algorithm for the convex feasibility problem

    Ron Aharoni;Abraham Berman;Yair Censor

  • The maximal cp-rank of rank k completely positive matrices

    F. Barioli;A. Berman

  • Rank Factorization of Nonnegative Matrices

    A. Berman

  • Matrix group monotonicity

    Abraham Berman;Robert J. Plemmons

  • A note on the computation of the CP-rank

    Abraham Berman;Uriel G. Rothblum

Frequent Co-Authors

Robert J. Plemmons
Robert J. Plemmons Wake Forest University
Michael Neumann
Michael Neumann University of Connecticut
Robert Shorten
Robert Shorten Imperial College London
Immanuel M. Bomze
Immanuel M. Bomze University of Vienna
Adi Ben-Israel
Adi Ben-Israel Rutgers, The State University of New Jersey
Hans Schneider
Hans Schneider University of Wisconsin–Madison
Douglas J. Leith
Douglas J. Leith Trinity College Dublin
Yair Censor
Yair Censor University of Haifa
Christian Krattenthaler
Christian Krattenthaler University of Vienna
Siegfried M. Rump
Siegfried M. Rump Hamburg University of Technology

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