Results 31 to 40 of about 157,651 (282)
Experimental determination of Ramsey numbers
Ramsey theory is a highly active research area in mathematics that studies the emergence of order in large disordered structures. Ramsey numbers mark the threshold at which order first appears and are extremely difficult to calculate due to their ...
Bian, Zhengbing +4 more
core +1 more source
Generalization of Ramsey Number for Cycle with Pendant Edges
This paper explores various Ramsey numbers associated with cycles with pendant edges, including the classical Ramsey number, the star-critical Ramsey number, the Gallai–Ramsey number, and the star-critical Gallai–Ramsey number.
Jagjeet Jakhar +5 more
doaj +1 more source
A note on on-line Ramsey numbers for quadrilaterals [PDF]
We consider on-line Ramsey numbers defined by a game played between two players, Builder and Painter. In each round Builder draws an the edge and Painter colors it either red or blue, as it appears.
Joanna Cyman, Tomasz Dzido
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A Skills Gap Analysis of Farmer Directors of US Farmer Cooperatives
ABSTRACT Boards of directors are vital to firm performance and are an integral part of the decision‐making process of any business. Several studies have been conducted that observe corporate or nonprofit board characteristics, skills, and the board's connection to firm performance.
Jody S. Herchenbach +5 more
wiley +1 more source
Density of monochromatic infinite subgraphs II
In 1967, Gerencsér and Gyárfás [16] proved a result which is considered the starting point of graph-Ramsey theory: In every 2-coloring of $K_n$ , there is a monochromatic path on $\lceil (2n+1)/3\rceil $ vertices, and this is best possible ...
Jan Corsten +2 more
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Combinatorial properties of the enhanced principal rank characteristic sequence over finite fields
The enhanced principal rank characteristic sequence (epr-sequence) of a symmetric matrix B ∈ 𝔽n×n is defined as ℓ1ℓ2· · · ℓn, where ℓj ∈ {A, S, N} according to whether all, some but not all, or none of the principal minors of order j of B are nonzero ...
Dukes Peter J., Martínez-Rivera Xavier
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Finite Euclidean Ramsey Theory
The author studies some problems of Euclidean Ramsey theory. He shows that in any two-coloring of the points of \(\mathbb{R}^4\) there will be four points forming a monochromatic unit square. He also improves the lower bounds for the chromatic numbers of the unit distance graphs of \(\mathbb{R}^4\) and \(\mathbb{R}^5\) to 7 and 9, respectively.
openaire +1 more source
Woody breast compromises meat quality leading to reduced consumer appeal. Although its causes are unclear, improvements observed with certain dietary supplements suggest that gut health may influence woody breast development. Ribonucleotide reductase subunit RRM2 is vital for mitochondrial function and gastrointestinal integrity, and alteration in its ...
Majid Shakeri +8 more
wiley +1 more source
Almost-Rainbow Edge-Colorings of Some Small Subgraphs
Let f(n, p, q) be the minimum number of colors necessary to color the edges of Kn so that every Kp is at least q-colored. We improve current bounds on these nearly “anti-Ramsey” numbers, first studied by Erdös and Gyárfás.
Krop Elliot, Krop Irina
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Graphs, friends and acquaintances
A graph is a mathematical object modeling the existence of a certain relation between pairs of elements of a given set. Many of the first results concerning graphs made reference to relationships between groups of people.
Cristina Dalfo, Miquel Àngel Fiol
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