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Anti-Ramsey Hypergraph Numbers [PDF]

open access: yesElectronic Journal of Graph Theory and Applications, 2021
The anti-Ramsey number arn(H) of an r-uniform hypergraph is the maximum number of colors that can be used to color the hyperedges of a complete r-uniform hypergraph on n vertices without producing a rainbow copy of H.
Mark Budden, William Stiles
doaj   +2 more sources

Anti-Ramsey Number of Hanoi Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2019
Let ar(G,H) be the largest number of colors such that there exists an edge coloring of G with ar(G,H) colors such that each subgraph isomorphic to H has at least two edges in the same color. We call ar(G,H) the anti- Ramsey number for a pair of graphs (G,
Gorgol Izolda, Lechowska Anna
doaj   +3 more sources

Anti-Ramsey numbers for disjoint copies of graphs [PDF]

open access: yesOpuscula Mathematica, 2017
A subgraph of an edge-colored graph is called rainbow if all of its edges have different colors. For a graph \(G\) and a positive integer \(n\), the anti-Ramsey number \(ar(n,G)\) is the maximum number of colors in an edge-coloring of \(K_n\) with no ...
Izolda Gorgol, Agnieszka Görlich
doaj   +2 more sources

On Mf-Edge Colorings of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2022
An edge coloring φ of a graph G is called an Mf-edge coloring if | φ(v)| ≤ f(v) for every vertex v of G, where φ(v) is the set of colors of edges incident with v and f is a function which assigns a positive integer f(v) to each vertex v.
Ivančo Jaroslav, Onderko Alfréd
doaj   +1 more source

Testing Broken U(1) Symmetry in a Two-Component Atomic Bose-Einstein Condensate [PDF]

open access: yes, 2000
We present a scheme for determining if the quantum state of a small trapped Bose-Einstein condensate is a state with well defined number of atoms, a Fock state, or a state with a broken U(1) gauge symmetry, a coherent state.
A. Eschmann   +31 more
core   +3 more sources

Complement Activation in Patients With Probable Systemic Lupus Erythematosus and Ability to Predict Progression to American College of Rheumatology-Classified Systemic Lupus Erythematosus. [PDF]

open access: yes, 2020
ObjectiveTo evaluate the frequency of cell-bound complement activation products (CB-CAPs) as a marker of complement activation in patients with suspected systemic lupus erythematosus (SLE) and the usefulness of this biomarker as a predictor of the ...
Alexander, Roberta Vezza   +12 more
core   +2 more sources

Some Ramsey- and anti-Ramsey-type results in combinatorial number theory and geometry [PDF]

open access: yes, 2015
A szerző nem járult hozzá nyilatkozatában a dolgozat nyilvánosságra ...
Borbély, József
core   +1 more source

Avoiding rainbow 2-connected subgraphs

open access: yesOpen Mathematics, 2017
While defining the anti-Ramsey number Erdős, Simonovits and Sós mentioned that the extremal colorings may not be unique. In the paper we discuss the uniqueness of the colorings, generalize the idea of their construction and show how to use it to ...
Gorgol Izolda
doaj   +1 more source

Entanglement-based 3D magnetic gradiometry with an ultracold atomic scattering halo

open access: yesNew Journal of Physics, 2020
Ultracold collisions of Bose–Einstein condensates can be used to generate a large number of counter-propagating pairs of entangled atoms, which collectively form a thin spherical shell in momentum space, called a scattering halo.
D K Shin   +4 more
doaj   +1 more source

Non-relativistic limit in the 2+1 Dirac Oscillator: A Ramsey Interferometry Effect [PDF]

open access: yes, 2008
We study the non-relativistic limit of a paradigmatic model in Relativistic Quantum Mechanics, the two-dimensional Dirac oscillator. Remarkably, we find a novel kind of Zitterbewegung which persists in this non-relativistic regime, and leads to an ...
A. Bermudez   +8 more
core   +3 more sources

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