Groups with minimum condition
نویسندگان
چکیده
منابع مشابه
Minimum degree condition forcing complete graph immersion
An immersion of a graph H into a graph G is a one-to-one mapping f : V (H) → V (G) and a collection of edge-disjoint paths in G, one for each edge of H , such that the path Puv corresponding to edge uv has endpoints f(u) and f(v). The immersion is strong if the paths Puv are internally disjoint from f(V (H)). It is proved that for every positive integer t, every simple graph of minimum degree a...
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Let G be a graph on n t> 3 vertices. Dirac's minimum degree condition is the condition that all vertices of G have degree at least in. This is a well-known sufficient condition for the existence of a Hamilton cycle in G. We give related sufficiency conditions for the existence of a Hamilton cycle or a perfect matching involving a restriction of Dirac's minimum degree condition to certain subset...
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In this paper, we extend, to a non-consecutive case, the study of the pattern matching condition on the wreath product Ck o Sn of the cyclic group Ck and the symmetric group Sn initiated in [2]. The main focus of our paper is (colored) patterns of length 2, although a number of enumerative results for longer patterns are also presented. A new non-trivial bijective interpretation for the Catalan...
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1. Definitions. These definitions are essentially those given by Gottschalk and Hedlund (cf. [3]).1 Let X be a topological space, T a topological group with identity e, and ir a mapping of X X T into X with the properties: (1) ir(x, e)=x, (2) 7r(7r(rc, h), t2)=ir(x, tit2), (3) ir is continuous. The triple (X, T, ir) is called a transformation group (or dynamical system). Henceforth we shall wri...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1964
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-9-2-117-132