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33 681 (0,105s)

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On Ramsey-type positional games

Beck introduced the concept of Ramsey games by studying the game versions of Ramsey and van der Waerden theorems. We contribute to this topic by investigating games corresponding to structural extensions of Ramsey ...

BA - Obecná matematika

  • 2010
  • Jx
Result

A Ramsey class for Steiner systems

to a perhaps surprising induced Ramsey theorem in which designs get coloured. to strengthen the notion of subobjects used from "induced subsystems" to something we call "strongly induced su...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2018
  • Jimp
  • Link
Result

Ramsey Classes with Closure Operations (Selected Combinatorial Applications)

Theorem, the author's Ramsey lift of bowtie-free graphs as well as the Ramsey providing the ultimate generalisation of Structural Ramsey Theorem. We give here a more of ordered sets with equivalences...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2018
  • C
  • Link
Result

The beginnings of Ramsey theory

The contribution discusses the origins of Ramsey theory, namely the theorems discovered by I. Schur and B. L. van der Waerden, their generalizations, as well as the life destinies of both mathematicians....

BA - Obecná matematika

  • 2012
  • D
Result

On a topological Ramsey theorem

We introduce natural strengthenings of sequential compactness, the r-Ramsey-Ramsey for all r and give examples of compact spaces that are r-Ramsey but not (r+1)-Ramsey for each r≥1 (assuming Continuum Hypothesis (C...

Pure mathematics

  • 2023
  • Jimp
  • Link
Result

Ramsey theorems for product of finite sets with submeasures

We prove parametrized partition theorem on products of finite sets equipped with submeasures, improving the results of Di Prisco, Llopis, and Todorcevic....

BA - Obecná matematika

  • 2011
  • Jx
  • Link
Result

A lower bound on the size of resolution proofs of the Ramsey theorem

We prove an exponential lowerbound on the lengths of resolutionproofs of propositions expressing the finite Ramseytheorem for pairs.

BA - Obecná matematika

  • 2012
  • Jx
  • Link
Result

All those Ramsey classes (Ramsey classes with closures and forbidden homomorphisms)

of convexly ordered S-metric spaces and prove the Ramsey theorem for finite models (i.e of the structural Ramsey theorem. Both of these results are natural, and easy to state, yetWe prove the Ramsey prope...

Pure mathematics

  • 2019
  • Jimp
  • Link
Result

PPP-completeness and extremal combinatorics

are Ramsey’s theorem on monochromatic subgraphs and the Erdős-Rado sunflower lemma under randomized reductions in the case of Ramsey’s theorem and PWPP-hard for Ramsey’s theorem and the sunflower...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2023
  • D
  • Link
Result

A Ramsey-type theorem in the plane

BA - Obecná matematika

  • 1995
  • Jx
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