𝔖 Bobbio Scriptorium
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Mandalas, screws, pears, and Klein bottles

✍ Scribed by Clifford A. Pickover


Publisher
Springer
Year
1993
Tongue
English
Weight
1022 KB
Volume
9
Category
Article
ISSN
0178-2789

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We have analyzed the local structure of the flow in the neighborhood of the unstable periodic orbits within the chaotic solution of a four-dimensional vector field. Surfaces within the invariant manifolds of the orbits are found and characterized: they are either Klein bottles or tori.

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Ding, G., Disjoint circuits on a Klein bottle and a theorem on posets, Discrete Mathematics 112 (1993) 81-91. In this paper, we consider the problem of packing disjoint directed circuits in a digraph drawn on the Klein bottle or on the torus. We formulate a problem on posets which unifies all the p

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There are two main purposes of this article. First we show that every 3-connected graph embedded in the torus or the Klein bottle has a spanning planar subgraph which is 2-connected, and in fact has a slightly stronger connectivity property. Second, this subgraph is applied to show that every 3-conn