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Projekt

Graph limits and inhomogeneous random graphs (GJ18-01472Y)

Theories of dense and sparse graph limits are one of the most important recent breakthroughs on old problems in extremal graph theory and random graph theory graph limits as well as the related theory of inhomogene...

Pure mathematics

  • 2018 - 2021
    • •
  • 8 941 tis. Kč
    • •
  • 8 941 tis. Kč
    • •
  • GA ČR
Projekt

Theory of Real Functions and Descriptive Set Theory III (GAP201/12/0436)

problems from the theory of analytic graphs. We will continue in the study of non-absolutely convergent integrals, where we will try to apply our definition of an integral......

BA - Obecná matematika

  • 2012 - 2014
    • •
  • 2 190 tis. Kč
    • •
  • 2 190 tis. Kč
    • •
  • GA ČR
Projekt

Multipartite quantum dynamics on graphs and hypergraphs – theory and applications (GA23-07169S)

and their associated conserved quantities, study convergence towards asymptotic dynamics, we aim to identify graph structures from their transport properties.......

Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

  • 2023 - 2025
    • •
  • 9 654 tis. Kč
    • •
  • 9 654 tis. Kč
    • •
  • GA ČR
Projekt

Structural properties of graph classes characterized by forbidden subgraphs (GA20-09525S)

Many important graph properties can be characterized in terms of forbidden induced subgraphs, or become more tractable when considered in such graph classes and to chromatic graph theory. In Hamiltonian graph theor...

Pure mathematics

  • 2020 - 2023
    • •
  • 7 905 tis. Kč
    • •
  • 7 644 tis. Kč
    • •
  • GA ČR
Projekt

Graph limits and beyond (GX21-21762X)

The theory of graph limits is one of the most important recently emerged tools of discrete mathematics. It has led to breakthrough solutions of many old problems in extremal graph theory, theory of random graphs and in part...

Pure mathematics

  • 2021 - 2025
    • •
  • 13 626 tis. Kč
    • •
  • 13 626 tis. Kč
    • •
  • GA ČR
Projekt

Graph Partitions and their Applications (MEB091037)

Many of the notions in graph theory, in particular, colorings, flows and matchings turn out to be partitions of a graph with particular properties of the methods originally developed for graph colorings are useful in the st...

BA - Obecná matematika

  • 2010 - 2011
    • •
  • 112 tis. Kč
    • •
  • 112 tis. Kč
    • •
  • MŠMT
Projekt

Extremal graph theory and applications (GJ16-07822Y)

Graphs are among the simplest mathematical structures. They form the foundation with the development of computer networks. Extremal graph theory focuses on interactions between different properties of graphs. In this projec...

BA - Obecná matematika

  • 2016 - 2020
    • •
  • 7 610 tis. Kč
    • •
  • 7 610 tis. Kč
    • •
  • GA ČR
Projekt

Revealing structure of graphs and groups through polynomials (7AMB14FR068)

Study of graph isomorphism by means of graph polynomials. Study of reduction patterns of integral polynomials. Study of group large sieve. Study of 3-dimensional determinants.......

BA - Obecná matematika

  • 2014 - 2015
    • •
  • 108 tis. Kč
    • •
  • 108 tis. Kč
    • •
  • MŠMT
Projekt

Structural properties of graphs with no long paths (8J19FR027)

Hereditary graph classes, that is, classes closed under vertex deletion, are an important type graph classes which is intensively studied. In the project, we intend to study structural and algorithmic and structural aspects of hered...

Pure mathematics

  • 2019 - 2021
    • •
  • 96 tis. Kč
    • •
  • 96 tis. Kč
    • •
  • MŠMT
Projekt

Beyond the Four Color Theorem (LL2328)

Cutting-edge research project in the area of graph theory – graph coloring and algorithms....

Pure mathematics

  • 2023 - 2028
    • •
  • 24 471 tis. Kč
    • •
  • 24 471 tis. Kč
    • •
  • MŠMT
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