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Some Properties of Ramsey Numbers
ScienceDirect.com
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由 Z Zhang 著作2003被引用 3 次 — Based on the known results of Ramsey numbers, some results of upper bounds and lower bounds of Ramsey numbers can be directly derived by those properties. @ ...
Some properties of Ramsey numbers
ScienceDirect.com
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ScienceDirect.com
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由 Z Zhang 著作2003被引用 3 次 — Abstract. In this paper, some properties of Ramsey numbers are studied, and the following results are presented. 1. (1) For any positive integers k1, k2, …, km ...
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Some properties of Ramsey numbers | Request PDF
ResearchGate
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2024年10月22日 — In this paper, some properties of Ramsey numbers are studied, and the following results are presented. 1.(1) For any positive integers k1, ...
Ramsey's theorem
Wikipedia
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Ramsey's theorem, in one of its graph-theoretic forms, states that one will find monochromatic cliques in any edge labelling (with colours) of a sufficiently ...
(Open Access) Some properties of Ramsey numbers (2003)
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TL;DR: Based on the known results of RamseyNumbers, some results of upper bounds and lower bounds of Ramsey numbers can be directly derived by those properties.
RAMSEY THEORY
Universiteit Antwerpen
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Universiteit Antwerpen
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Some obvious properties are: R(s, t) = R(t, s) and R(s, 2) = s. Theorem 1.1 (Ramsey 1930): R(s, t) is finite for all s, t ≥ 2 and for s, t > 2 we have R(s ...
A Very Big Small Leap Forward in Graph Theory
Quanta Magazine
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Quanta Magazine
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2023年5月2日 — Four mathematicians have found a new upper limit to the “Ramsey number,” a crucial property describing unavoidable structure in graphs.
Part III - Ramsey Theory
Student-Run Computing Facility
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We pick a list of finitely many colours, and colour each element of X. Then we want to find a monochromatic subset of X that satisfies some properties. The most ...
52 頁
Recent developments in graph Ramsey theory
MIT Mathematics
https://math.mit.edu › ~fox › paper-graphramsey
MIT Mathematics
https://math.mit.edu › ~fox › paper-graphramsey
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由 D Conlon 著作被引用 220 次 — Abstract. Given a graph H, the Ramsey number r(H) is the smallest natural number N such that any two-colouring of the edges of KN contains a monochromatic ...
54 頁
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