Results 21 to 30 of about 199,964 (159)
Generalized Ramsey numbers through adiabatic quantum optimization [PDF]
Quantum Information Processing, 2016 Ramsey theory is an active research area in combinatorics whose central theme is the emergence of order in large disordered structures, with Ramsey numbers marking the threshold at which this order first appears.
Mani Ranjbar +3 more
semanticscholar +1 more source
On generalized Ramsey numbers of Erdős and Rogers [PDF]
J. Comb. Theory B, 2013 Extending the concept of Ramsey numbers, Erd?s and Rogers introduced the following function. For given integers 2 ? s < t let f s , t ( n ) = min ? { max ? { | W | : W ?
A. Dudek, Troy Retter, V. Rödl
semanticscholar +1 more source
Rainbow generalizations of Ramsey theory - a dynamic survey
Theory and Applications of Graphs, 2014 In this work, we collect Ramsey-type results concerning rainbow edge colorings of graphs.
Fujita, Shinya +3 more
openaire +4 more sources
On Generalized Ramsey Numbers for 3‐Uniform Hypergraphs [PDF]
Journal of Graph Theory, 2013 The well‐known Ramsey number r(t,u) is the smallest integer n such that every Kt ‐free graph of order n contains an independent set of size u. In other words, it contains a subset of u vertices with no K2.
A. Dudek, D. Mubayi
semanticscholar +1 more source
Arthritis &Rheumatology, Accepted Article.Background Methotrexate (MTX) is the first‐line therapy for juvenile idiopathic arthritis (JIA), but up to 40% of patients don't respond. Low inosine‐triphosphate‐pyrophosphatase (ITPA) activity has been associated with reduced clinical remission. We investigated ITPA role and the underlying mechanisms in vitro.
Sofia Sindici Forgiarini +19 more
wiley +1 more source
Multi‐omic profiling reveals immune cell priming signature linked to lupus prognosis
Arthritis &Rheumatology, Accepted Article.Objective Systemic lupus erythematosus (SLE) is a multi‐organ disease with widespread immune dysregulation and significant unmet clinical need. Blood‐based gene expression studies have advanced our understanding of SLE pathogenesis but may overlook critical tissue‐specific mechanisms that drive disease heterogeneity and progression.
Michael A. Smith +23 more
wiley +1 more source
Biological Reviews, EarlyView.ABSTRACT Tool use research has long made the distinction between tool using that is considered learned and flexible, and that which appears to be instinctive and stereotyped. However, animals with an inherited tool use specialisation can exhibit flexibility, while tool use that is spontaneously innovated can be limited in its expression and facilitated
Jennifer A. D. Colbourne +1 more
wiley +1 more source
Monochromatic Sums and Products of Polynomials
Discrete AnalysisMonochromatic sums and products of polynomials, Discrete Analysis 2024:5, 7 pp. An early result in Ramsey theory, Schur's theorem, states that if the positive integers are finitely coloured, then there will always be $x$ and $y$ such that $x,y$ and $x ...
Ryan Alweiss
doaj +1 more source
On a generalization of Ramsey theory
Discrete Mathematics, 1982 AbstractIn [2, 3], Chung and Liu introduce the following generalization of Ramsey Theory for graphs.
openaire +2 more sources
Sentience in cephalopod molluscs: an updated assessment
Biological Reviews, EarlyView.ABSTRACT This article evaluates the evidence for sentience – the capacity to have feelings – in cephalopod molluscs: octopus, cuttlefish, squid, and nautilus. Our framework includes eight criteria, covering both whether the animal's nervous system could support sentience and whether their behaviour indicates sentience.
Alexandra K. Schnell +4 more
wiley +1 more source