Results 41 to 50 of about 9,543 (293)
Lines in Euclidean Ramsey Theory [PDF]
Discrete & Computational Geometry, 2018 Let $\ell_m$ be a sequence of $m$ points on a line with consecutive points of distance one. For every natural number $n$, we prove the existence of a red/blue-coloring of $\mathbb{E}^n$ containing no red copy of $\ell_2$ and no blue copy of $\ell_m$ for any $m \geq 2^{cn}$. This is best possible up to the constant $c$ in the exponent. It also answers a
Conlon, D, Fox, J
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The Ramsey theory of Henson graphs
Journal of Mathematical Logic, 2022 Analogues of Ramsey’s Theorem for infinite structures such as the rationals or the Rado graph have been known for some time. In this context, one looks for optimal bounds, called degrees, for the number of colors in an isomorphic substructure rather than one color, as that is often impossible.
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Anti-Ramsey theory on complete bipartite graphs
AKCE International Journal of Graphs and Combinatorics, 2020 We consider quadruples of positive integers with and such that every proper edge-coloring of the complete bipartite graph contains a rainbow subgraph. We show that every such quadruple with and satisfies this property and find an infinite sequence where ...
Stephan Cho +3 more
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Generalization of Ramsey Number for Cycle with Pendant Edges
MathematicsThis 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
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Ramsey-Theory and Forcing Extensions [PDF]
Proceedings of the American Mathematical Society, 1994 In every forcing extension of every model of set theory by a nontrivial (set) forcing there exist a graph Y and a cardinal μ
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Advanced Science, EarlyView.This study addresses the rapid renal clearance of anti‐HER2 nanobodies by developing specialized liposomal carriers. It details the formulation of dual modified liposomes, demonstrating how PEGylation preserves structural integrity and cell‐penetrating peptides enhance cellular interaction.
Giulia Pander +14 more
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Density of monochromatic infinite subgraphs II
Forum of Mathematics, SigmaIn 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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A Skills Gap Analysis of Farmer Directors of US Farmer Cooperatives
Agribusiness, EarlyView.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
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Graphs, friends and acquaintances
Electronic Journal of Graph Theory and Applications, 2018 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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A note on on-line Ramsey numbers for quadrilaterals [PDF]
Opuscula Mathematica, 2014 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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