Given a finite point set $P \subset \mathbb{R}^d$, a $k$-ary semi-algebraic relation $E$ on $P$ is the set of $k$-tuples of points in $P$, which is determined by a finite number of polynomial equations and inequalities in $kd$ real variables. The description complexity of such a relation is at most $t$ if the number of polynomials and their degrees are
openaire +5 more sources
Strong Ramsey Numbers of Graphs [PDF]
Gary Chartrand, Ping Zhang
doaj +1 more source
Multicolor Ramsey theory for a fan versus complete graphs [PDF]
Mark Budden, Hayden Privette
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Size multipartite Ramsey numbers for small paths versus books
Given $j \ge 2$, for graphs $G$ and $H$, the size Ramsey multipartite number $m_j(G, H)$ is defined as the smallest natural number $t$ such that any blue red coloring of the edges of the graph $K_{j \times t}$, necessarily containes a red $G$ or a ...
Chula J. Jayawardene +1 more
doaj
On the Ramsey number of 4-cycle versus wheel
For any fixed graphs $G$ and $H$, the Ramsey number $R(G,H)$ is the smallest positive integer $n$ such that for every graph $F$ on $n$ vertices must contain $G$ or the complement of $F$ contains $H$.
Enik Noviani, Edy Tri Baskoro
doaj
Atom camera: super-resolution scanning microscope of a light pattern with a single ultracold atom. [PDF]
Tomita T +8 more
europepmc +1 more source
Decreased pulmonary exacerbations and lower intravenous antibiotic usage following vanzacaftor/tezacaftor/deutivacaftor treatment in people with cystic fibrosis with <i>F508del</i>-minimal function genotypes. [PDF]
Horsley A +7 more
europepmc +1 more source
Implanted brain-computer interface functionality during nighttime in late-stage amyotrophic lateral sclerosis. [PDF]
Leinders S +12 more
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A Perspective on Understanding Transient Stimulated Raman Scattering Spectroscopy with Ramsey Interferometry. [PDF]
Huang Y, Li Y, Li N, Wang P.
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High-fidelity collisional quantum gates with fermionic atoms. [PDF]
Bojović P +9 more
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