Results 1 to 10 of about 4,967 (249)
Ramsey theory and thermodynamics [PDF]
Heliyon, 2023 Re-shaping of thermodynamics with the graph theory and Ramsey theory is suggested. Maps built of thermodynamic states are addressed. Thermodynamic states may be attainable and non-attainable by the thermodynamic process in the system of constant mass. We
Nir Shvalb +3 more
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Discrete Mathematics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vera T Sos, Miklós Simonovits
exaly +4 more sources
Using Ramsey Theory to Measure Unavoidable Spurious Correlations in Big Data
Axioms, 2019 Given a dataset, we quantify the size of patterns that must always exist in the dataset. This is done formally through the lens of Ramsey theory of graphs, and a quantitative bound known as Goodman’s theorem.
Micheal Pawliuk +1 more
doaj +3 more sources
Lines in Euclidean Ramsey Theory [PDF]
Discrete and 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
Jacob Fox, Conlon David, Fox Jacob
exaly +6 more sources
Fermat Principle, Ramsey Theory and Metamaterials. [PDF]
Materials (Basel), 2023 Frenkel M, Shoval S, Bormashenko E.
europepmc +2 more sources
A Note on the Geometry of Closed Loops
Mathematics, 2023 In this paper, we utilize the Ramsey theory to investigate the geometrical characteristics of closed contours. We begin by examining a set of six points arranged on a closed contour and connected as a complete graph. We assign the downward-pointing edges
Nir Shvalb +3 more
doaj +1 more source
More results in polychromatic Ramsey theory
Open Mathematics, 2012 Abraham Uri, Cummings James
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Computation of new diagonal graph Ramsey numbers
Electronic Journal of Graph Theory and Applications, 2022 For various connected simple graphs G, we extend the table of diagonal graph Ramsey numbers R(G, G) in ‘An Atlas of Graphs.’ This is accomplished by first converting the calculation of R(G, G) into a satisfiability problem in propositional logic ...
Richard M. Low +3 more
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The Electronic Journal of Combinatorics, 2004 The Ramsey game we consider in this paper is played on an unbounded set of vertices by two players, called Builder and Painter. In one move Builder introduces a new edge and Painter paints it red or blue. The goal of Builder is to force Painter to create a monochromatic copy of a fixed target graph $H$, keeping the constructed graph in a prescribed ...
Jaroslaw Grytczuk +2 more
openaire +2 more sources
A note on the Ramsey numbers for theta graphs versus the wheel of order 5
AKCE International Journal of Graphs and Combinatorics, 2018 The study of exact values and bounds on the Ramsey numbers of graphs forms an important family of problems in the extremal graph theory. For a set of graphs S and a graph F , the Ramsey number R (S , F) is the smallest positive integer r such that for ...
Mohammed M.M. Jaradat +3 more
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