Báo cáo toán học: "The Fundamental Group of Balanced Simplicial Complexes and Posets" potx

... number of generators of the fundamental group of a balanced simplicial complex in terms of h 2 . More generally, we bound the minimal number of generators of the fundamental group of a balanced simplicial ... the f-numbers and h-numbers of ∆ to the dimensions of the singular homology groups of ∆ with coefficients in a certain field; see, for example, the wor...

Ngày tải lên: 08/08/2014, 01:20

... Reflection groups and Coxeter groups. Cambridge University Press (1990). the electronic journal of combinatorics 14 (2007), #R76 21 [19] G. James and A. Kerber. The representation theory of the symmetric ... symmetric group, vol. 16 of Encyclopedia of Mathematics and its Applications. Addison-Wesley Pub- lishing Co., Reading, Mass. (1981). [20] M. Kashiwara. On crystal bases o...

Ngày tải lên: 07/08/2014, 15:23

... E(Γ) is of length L i and has end points p i , q i and e ′ i ∈ E(Γ ′ ) is of length L i + x i and has end points p i , q i . Here, x i ∈ R is such that L i + x i ≥ 0. Suppose that Γ − e i and Γ ′ − ... of edges of Γ by E(Γ). Let v := #(V (Γ)) and e := #(E(Γ)). We define the ge nus of Γ to be the first Betti number g := e − v + 1 of the graph Γ. Note that the genus is a top...

Ngày tải lên: 08/08/2014, 14:23

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Ngày tải lên: 05/08/2014, 10:20

... Shum translations (and also the set P (S) of all right translations) of the semigroup S forms a semigroup under the composition of mappings. By the translational hull of S, we mean a subsemigroup Ω(S) ... initiated and studied by Gomes and Gould in [5]. As a general- ization of the Fundamental C- Ehreshmann semigroups, the quasi-C Ehresmann semigroups have been investigated b...

Ngày tải lên: 06/08/2014, 05:20

... relations and AR-quivers of the quantum doubles of the duals of the generalized Taft algebras explicitly and show that these quantum doubles are tame. The structures of basic Hopf algebras of finite ... Hopf algebras, we need more examples of tame Hopf algebras. The Andruskiewitsch-Schneider algebra is a kind of generalization of gener- alized Taft algebra and of course...

Ngày tải lên: 06/08/2014, 05:20

... no edge between a vertex a of N s i and a vertex b of N s j , i = j.Clearlyd G (v, a)=d G (v, b)=k − s + 1. Thus consider paths of minimal length joining a and b to v,andletp be the vertex furthest ... bound of Monien and Speckenmeyer, for the independence number of a graph of order n and odd girth 2k +3. AMS Subject Classification. 05C15 § 1. Introduction Let G be a trian...

Ngày tải lên: 07/08/2014, 06:20