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Topics in Ramsey Theory

open access: green, 2014
56 pages, MS thesis (completed in 2014), Supervisor: S ...
Mano Vikash Janardhanan
openalex   +4 more sources

Why Be Funny: The Influence of Social Norms on the Communicative Functions of Humor [PDF]

open access: yesBehavioral Sciences
Humor is a valued social activity and, as such, should be influenced by social norms. This investigation examined the relationships between the functions of humor and the theory of normative social behavior.
Nathan Miczo, John C. Meyer
doaj   +2 more sources

Rothberger bounded groups and Ramsey theory [PDF]

open access: bronze, 2011
We show that: 1. Rothberger bounded subgroups of sigma-compact groups are characterized by Ramseyan partition relations. 2. For each uncountable cardinal $\kappa$ there is a ${\sf T}_0$ topological group of cardinality $\kappa$ such that ONE has a ...
Marion Scheepers
openalex   +4 more sources

Forcing in Ramsey theory

open access: green, 2017
17 pages, Expository article. A few typos corrected.
Natasha Dobrinen
openalex   +4 more sources

Testing Closeness of Multivariate Distributions via Ramsey Theory [PDF]

open access: yesSymposium on the Theory of Computing, 2023
We investigate the statistical task of closeness (or equivalence) testing for multidimensional distributions. Specifically, given sample access to two unknown distributions p, q on d, we want to distinguish between the case that p=q versus ||p−q||Ak > є,
Ilias Diakonikolas   +2 more
semanticscholar   +1 more source

Weak hypergraph regularity and applications to geometric Ramsey theory [PDF]

open access: yesTransactions of the American Mathematical Society. Series B, 2022
Let Δ = Δ 1 × … × Δ d ⊆ R n \Delta =\Delta _1\times \ldots \times \Delta _d\subseteq ...
N. Lyall, Á. Magyar
semanticscholar   +1 more source

Finite Ramsey theory through category theory [PDF]

open access: yesL'Enseignement mathématique, 2022
We present a new, category theoretic point of view on finite Ramsey theory. Our aims are as follows: -- to define the category theoretic notions needed for the development of finite Ramsey Theory, -- to state, in terms of these notions, the general ...
S. Solecki
semanticscholar   +1 more source

Ramsey theory over partitions II: Negative Ramsey relations and pump-up theorems [PDF]

open access: yesIsrael Journal of Mathematics, 2022
In this series of papers we advance Ramsey theory of colorings over partitions. In this part, we concentrate on anti-Ramsey relations, or, as they are better known, strong colorings, and in particular solve two problems from [CKS21]. It is shown that for
M. Kojman, A. Rinot, J. Steprāns
semanticscholar   +1 more source

A Note on the Geometry of Closed Loops

open access: yesMathematics, 2023
In this paper, we utilize the Ramsey theory to investigate the geometrical characteristics of closed contours. We begin by examining a set of six points arranged on a closed contour and connected as a complete graph. We assign the downward-pointing edges
Nir Shvalb   +3 more
doaj   +1 more source

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