منابع مشابه
Flows on Simplicial Complexes
Given a graph G, the number of nowhere-zero Zq-flows φG(q) is known to be a polynomial in q. We extend the definition of nowhere-zero Zq-flows to simplicial complexes ∆ of dimension greater than one, and prove the polynomiality of the corresponding function φ∆(q) for certain q and certain subclasses of simplicial complexes. Résumé. Et́ant donné une graphe G, on est connu que le nombre de Zq-flot...
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The usual definition of finite simplicial complex is a set of non-empty subsets of a finite set, closed under non-empty subset formation. For our purposes here, we will omit the non-emptiness and define a finite simplicial complex to be a down-closed subset of the set of subsets of a finite set. We can, and will suppose that the finite set is the integers 0,. . . ,N . We will denote by K the se...
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Let M be a closed triangulable manifold, and let ∆ be a triangulation of M. What is the smallest number of vertices that ∆ can have? How big or small can the number of edges of ∆ be as a function of the number of vertices? More generally, what are the possible face numbers ( f -numbers, for short) that ∆ can have? In other words, what restrictions does the topology of M place on the possible f ...
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ژورنال
عنوان ژورنال: Mathematical Proceedings of the Cambridge Philosophical Society
سال: 2010
ISSN: 0305-0041,1469-8064
DOI: 10.1017/s0305004110000125