World's Best Scientists 2026 revealed!

Research.com Recognitions

  • 2020 - Fellow of the American Mathematical Society For contributions to extremal combinatorics and graph theory, and for service to the profession.

Overview

Daniel Král is affiliated with Masaryk University in the Czech Republic. Their research spans the disciplines of Computer Science and Mathematics, with a particular focus on computational theory, discrete mathematics, combinatorics, and geometry and topology.

The scientist's work frequently explores advanced graph theory, limits and structures in graph theory, as well as applications of graph theory in various contexts. Their research topics also include graph labeling and dimension problems, graph theory applications to CDMA systems, advanced topology and set theory, and computational geometry and mesh generation.

Daniel Král's publication record includes contributions to several prominent academic venues, with notable recurring appearances in the following journals and conference proceedings:

  • arXiv (Cornell University)
  • Journal of Combinatorial Theory Series B
  • European Journal of Combinatorics
  • Leibniz-Zentrum für Informatik (Schloss Dagstuhl)
  • Random Structures and Algorithms

Some of Daniel Král's recent papers include:

  • Fe2MnSn - Experimental quest for predicted Heusler alloy, 2020, Journal of Magnetism and Magnetic Materials
  • Three-coloring triangle-free graphs on surfaces V. Coloring planar graphs with distant anomalies, 2020, Journal of Combinatorial Theory Series B
  • Toward characterizing locally common graphs, 2022, Random Structures and Algorithms
  • Elusive extremal graphs, 2020, Proceedings of the London Mathematical Society
  • No additional tournaments are quasirandom-forcing, 2022, European Journal of Combinatorics

Collaborations feature prominently in their work. Frequent co-authors include:

  • Ander Lamaison
  • Andrzej Grzesik
  • Jan Volec
  • Jonathan A. Noel
  • Jacob W. Cooper

Daniel Král has received recognition from the mathematical community, including being named a Fellow of the American Mathematical Society in 2020. This honor was awarded for contributions to extremal combinatorics and graph theory, as well as for service to the profession.

Best Publications

  • Complexity of Coloring Graphs without Forbidden Induced Subgraphs

    Daniel Král;Jan Kratochvíl;Zsolt Tuza;Gerhard J. Woeginger

  • A Theorem about the Channel Assignment Problem

    Daniel Král;Riste Skrekovski

  • On the number of pentagons in triangle-free graphs

    Hamed Hatami;Jan Hladký;Daniel KráL;Serguei Norine

  • Deciding First-Order Properties for Sparse Graphs

    Zdenek Dvorak;Daniel Kral;Robin Thomas

  • Testing first-order properties for subclasses of sparse graphs

    Zdeněk Dvořák;Daniel Král;Robin Thomas

  • Coloring squares of planar graphs with girth six

    Zdenk Dvořák;Daniel Král;Pavel Nejedlý;Riste Škrekovski

  • Quasirandom permutations are characterized by 4-point densities

    Daniel Král;Daniel Král;Oleg Pikhurko

  • A combinatorial proof of the Removal Lemma for Groups

    Daniel Král;Oriol Serra;Lluís Vena

  • Finitely forcible graphons and permutons

    Roman Glebov;Andrzej Grzesik;Tereza Klimošová;Daniel Král

  • Non-three-colourable common graphs exist

    Hamed Hatami;Jan Hladký;Daniel Král;Serguei Norine

  • Counting flags in triangle-free digraphs

    Jan Hladký;Daniel Král;Sergey Norin

  • Fullerene graphs have exponentially many perfect matchings

    František Kardoš;Daniel Král;Jozef Miškuf;Jean-Sébastien Sereni

  • Steinberg's Conjecture is false

    Vincent Cohen-Addad;Michael Hebdige;Daniel Král;Zhentao Li

  • A New Lower Bound Based on Gromov’s Method of Selecting Heavily Covered Points

    Daniel Král;Lukáš Mach;Jean-Sébastien Sereni

  • Counting flags in triangle-free digraphs

    Jan Hladky;Daniel Kral;Sergey Norin

  • Coloring Powers of Chordal Graphs

    Daniel Král

  • On Feasible Sets of Mixed Hypergraphs

    Daniel Král

  • Monochromatic triangles in three-coloured graphs

    James Cummings;Daniel KráL;Florian Pfender;Konrad Sperfeld

  • Classes of graphs with small rank decompositions are Χ -bounded

    Zdenk Dvořák;Daniel Král

  • A problem of Erdos and Sos on 3-graphs

    Roman Glebov;Daniel Kral;Jan Volec

Frequent Co-Authors

Robin Thomas
Robin Thomas Georgia Institute of Technology
Bojan Mohar
Bojan Mohar Simon Fraser University
László Lovász
László Lovász Eötvös Loránd University
Jan Kratochvíl
Jan Kratochvíl Charles University
Ken-ichi Kawarabayashi
Ken-ichi Kawarabayashi National Institute of Informatics
Jiří Sgall
Jiří Sgall Charles University
Oleg Heczko
Oleg Heczko Czech Academy of Sciences
Alexander A. Razborov
Alexander A. Razborov University of Chicago
Michael Saks
Michael Saks Rutgers, The State University of New Jersey
Yoshiharu Kohayakawa
Yoshiharu Kohayakawa Universidade de São Paulo

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