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150325s1991 xx |||||o 00| ||eng c |
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|a 10.2307/2001731
|2 doi
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|a (DE-627)JST086628704
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|a (JST)2001731
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|a eng
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|a 57M25
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|a Negami, Seiya
|e verfasserin
|4 aut
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|a Ramsey Theorems for Knots, Links and Spatial Graphs
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|c 1991
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|a Text
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|a An embedding $f: G \rightarrow R^3$ of a graph $G$ into $R^3$ is said to be linear if each edge $f(e) (e \in E(G))$ is a straight line segment. It will be shown that for any knot or link type $k$, there is a finite number $R(k)$ such that every linear embedding of the complete graph $K_n$ with at least $R(k)$ vertices $(n \geq R(k))$ in $R^3$ contains a knot or link equivalent to $k$.
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|a Copyright 1991 American Mathematical Society
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|a Knots
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|a links
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|a spatial graphs
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|a Ramsey theory
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|a Mathematics
|x Pure mathematics
|x Geometry
|x Euclidean geometry
|x Plane geometry
|x Vertices
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| 650 |
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4 |
|a Arts
|x Applied arts
|x Manual arts
|x Knot tying
|x Knots
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| 650 |
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|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Statistical physics
|x Dimensional analysis
|x Dimensionality
|x Abstract spaces
|x Topological spaces
|x Embeddings
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| 650 |
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4 |
|a Behavioral sciences
|x Sociology
|x Human societies
|x Social structures
|x Social stratification
|x Social classes
|x Upper class
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| 650 |
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4 |
|a Mathematics
|x Pure mathematics
|x Discrete mathematics
|x Graph theory
|x Graphical subdivisions
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| 650 |
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4 |
|a Mathematics
|x Pure mathematics
|x Discrete mathematics
|x Graph theory
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| 650 |
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4 |
|a Mathematics
|x Mathematical expressions
|x Mathematical theorems
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| 650 |
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4 |
|a Mathematics
|x Pure mathematics
|x Topology
|x Topological theorems
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|a Mathematics
|x Pure mathematics
|x Discrete mathematics
|x Graph theory
|x Line graphs
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|a research-article
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|i Enthalten in
|t Transactions of the American Mathematical Society
|d American Mathematical Society, 1900
|g 324(1991), 2, Seite 527-541
|w (DE-627)269247351
|w (DE-600)1474637-2
|x 10886850
|7 nnns
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| 773 |
1 |
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|g volume:324
|g year:1991
|g number:2
|g pages:527-541
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|u https://www.jstor.org/stable/2001731
|3 Volltext
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|u https://doi.org/10.2307/2001731
|3 Volltext
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|d 324
|j 1991
|e 2
|h 527-541
|