Báo cáo toán học: "Relating different cycle spaces of the same infinite graph" docx

... basis of the larger space. This recalls the fact that a basis of the cycle space of a given finite graph G can be extended to a basis of the cycle space of any graph G  resulting from a sequence of ... e  incident with a common vertex of X 1 , either both or neither of e and e  are in z. On the other hand, the cycle space of Y consists of all subsets o...

Ngày tải lên: 08/08/2014, 14:23

... will write 1 + F if G consists of one single set containing only 1. Now we can return to the proof of Lemma 3.5. In the proof we will use the basic ideas of [3]. ProofofLemma3.5. For arbitrary F ... outside of I, too. Therefore F \ B doesn’t contain this (these) element(s), while A \ I does. Case2: A ∈A,C ∈C,F ∈B∪C By the definition of C, C doesn’t contain I, therefore by th...

Ngày tải lên: 07/08/2014, 08:22

... connected. The spectrum of a square matrix is the set of its eigenvalues in the complex plane. The spectral radius is the maximum of the modulus of its eigenvalues. If the matrix is the adjacency ... of interest. First, they are derived from a mere knowledge of the degrees of the vertices involved in the perturbation. Second, they are the best possible, i...

Ngày tải lên: 08/08/2014, 14:23

... order of their elution on the HP-5MS non-polar column (Table 1). A total of 19 compounds were identified, representing 86.68% of the total oil. The esters made up the largest component of the ... that the results of this study may be considered as the first report on the composition of the essential oils of this endemic species. 2.6. Antimicrobial activi...

Ngày tải lên: 20/06/2014, 20:20

... Tautomerization of thione. Scheme 2. The synthesis of IMHC. Figure 1. Optimized 3D structure of the IMHC. Figure 2. The effect of test organism toward synthesized compound. Figure 3. The effect of tested ... Delocalization of π-electrons over the IMHC increased lipophilicity facilitates the penetration of the IMHC into lipid membranes, further restricting p...

Ngày tải lên: 20/06/2014, 20:20

... terms of modular invariant theory of the general linear group at the prime p = 2. In [8], Hung and the author gave a mod-p analogue of the Singer invariant-theoretic description of the dual of the ... 2004 Dedicated to Professor Hu`ynh M`ui on the occasion of his sixtieth birthday Abstract The purpose of this paper is to give a mod-p analogue of the Lomonaco...

Ngày tải lên: 06/08/2014, 05:20

... the summand of the right hand side, which, because of symmetry in k and −k, amounts to the same as multiplying the sum by 2. This is made more transparent if we look at the decomposition of the ... observing is that both sides of a slight variation of the original form of identity (2) satisfy indeed the same recurrence of order two. This variation makes use...

Ngày tải lên: 07/08/2014, 06:20

... calculation of the character of S n on the homology of the order complex of L A col , s n and using a formula of Orlik & Solomon [10] we are able to describe the character of S n on the cohomology of ... fiber of projections of the braid space in the context of Lie-algebra homology. We investigate the combi- natorics of the intersection lattice L A c...

Ngày tải lên: 07/08/2014, 06:20

... assumption in the statement of the Theorem. The product in the numerator of the right-hand side of (3.25) consists of factors of the form (x + y +a)=(2x+m+a) with integral a. Some of these factors cancel ... of the 0-matrix in the upper-right block of the matrix in (3.68), it follows that the determinant in (3.68) equals the product of the determinant...

Ngày tải lên: 07/08/2014, 06:20

... β)=(g(α),g(β)). The orbits of G in Ω × Ω are called the orbitals of G. The orbit {(α, α):α ∈ Ω} is called the trivial orbital. Let∆beanorbitalofG in Ω × Ω. Define the orbital digraph ∆ to be the graph ... is a union of orbits of Stab SL(2,p) (v), so that |D| is either 2, p +1,p +2,2p,or2p + 1. Furthermore, as the size of a block of a permutation group divides the de...

Ngày tải lên: 07/08/2014, 07:21