Results 51 to 60 of about 524 (71)
On Galvin's lemma and Ramsey spaces [PDF]
, 2010 An abstract version of Galvin's lemma is proven, within the framework of the theory of Ramsey spaces.
Mijares, Jose G.
core
Finding product sets in some classes of amenable groups
Forum of Mathematics, SigmaIn [15], using methods from ergodic theory, a longstanding conjecture of Erdős (see [5, Page 305]) about sumsets in large subsets of the natural numbers was resolved.
Dimitrios Charamaras, Andreas Mountakis
doaj +1 more source
On small Mixed Pattern Ramsey numbers [PDF]
, 2014 We call the minimum order of any complete graph so that for any coloring of the edges by $k$ colors it is impossible to avoid a monochromatic or rainbow triangle, a Mixed Ramsey number.
Bartlett, Marcus +4 more
core
The weak Ramsey property and extreme amenability
Forum of Mathematics, SigmaWe extend the Kechris–Pestov–Todorčević correspondence to weak Fraïssé categories and automorphism groups of generic objects. The new ingredient is the weak Ramsey property.
Adam Bartoš +3 more
doaj +1 more source
Forum of Mathematics, SigmaWe introduce the notion of echeloned spaces – an order-theoretic abstraction of metric spaces. The first step is to characterize metrizable echeloned spaces. It turns out that morphisms between metrizable echeloned spaces are uniformly continuous or have
Maxime Gheysens +4 more
doaj +1 more source
Chromatic number of Euclidean plane
, 2015 If the chromatic number of Euclidean plane is larger than four, but it is known that the chromatic number of planar graphs is equal to four, then how does one explain it? In my opinion, they are contradictory to each other. This idea leads to confirm the
Wang, Kai-Rui
core
On Ramsey and star-critical Ramsey numbers for generalized fans versus <i>nK</i> <sub><i>m</i></sub>. [PDF]
Discrete Appl Math, 2021 Hamm A, Hazelton P, Thompson S.
europepmc +1 more source
Infinite Lexicographic Products
, 2019 We generalize the lexicographic product of first-order structures by presenting a framework for constructions which, in a sense, mimic iterating the lexicographic product infinitely and not necessarily countably many times.
Meir, Nadav
core
New Lower Bounds for Some Multicolored Ramsey Numbers
, 1998 We use finite fields and extend a result of Fan Chung to give eight new, nontrivial, lower bounds.Comment: 6 ...
Robertson, Aaron
core +4 more sources
Genetic snapshots of the Rhizobium species NGR234 genome. [PDF]
Genome Biol, 2000 Viprey V +3 more
europepmc +1 more source