Báo cáo toán học: "The edge-count criterion for graphic lists" doc

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:21

... (2008), #R73 1 is a simple system for C µ j and therefore J (2) = s  j=1 J (2) l j is a simple system for s  j=1 C µ j . Thus, J = J (1) + J (2) is a simple system for Ψ = r  i=1 A λ i + s  j=1 C µ j , ... of the form −2e i for some i, and so −2e i ∈ wJ (2) . Now, put −α ∗ = 2e i . Then by definition of the set J −α ∗ , all the elements of wJ  occur in J −α ∗ except for the elem...

Ngày tải lên: 07/08/2014, 21:20

... general formulae for L k,n and L n . For small n the values of K 2,n , K 3,n and R 4,n are given by Sloane’s [142] A000166, A000186 and A000573, respectively. Exact formulae for L k,n for k  ... French. Doyle’s formula for L k,n is given in a closed form and is used to compute previously unpublished values of L 4,n , L 5,n and L 6,n . We reproduce the three formulae for L k,n by...

Ngày tải lên: 08/08/2014, 01:20

Ngày tải lên: 05/08/2014, 09:46

Ngày tải lên: 05/08/2014, 15:20

... σ ψ|N t for each t ∈ R. Then N, the crossed product of N , is canonically embeded into M and for each p ∈ [1, ∞] the space L p (N ) can be canonically embeded into L p (M ), so that for any k ... e −ist λ N (t), ∀t, s ∈ R. Thus θ s (y 0 ) ∈ N 0 for y 0 ∈ N 0 , ∀s ∈ R. So that θ s (N 0 ) ⊂ N 0 ⊂ N. Since θ s is σ-weakly continuous on M; for all s ∈ R we have θ s (N) ⊂ N. The continui...

Ngày tải lên: 06/08/2014, 05:20

... with n balls obtains the next ball is proportional to f(n) for some function f. For example, a common case to study is when f(n)=n p for some constant p>1. Specifically, we consider the case ... remain open. For instance, are our methods applicable to related non-linear models for Web graphs [3]? It seems likely that this problem requires improvements on the error bounds for Gau...

Ngày tải lên: 07/08/2014, 08:20

... Connected k-uniform hypergraphs It is well-known (cf. [1, 10]) that for any n, k ∈ N the number c n,k of connected k-uniform hypergraphs on vertex-set {1, ,n} is given by the formula c n,k =  π∈ ... (U) g(σ)  |σ|−1 r  r! . Therefore, for any ω ∈ P(U), S ≥  σ∈ (U) σ≤ω g(σ)  |σ|−1 r  r! ≥  σ∈ (U) σ≤ω g(σ)  |ω|−1 r  r!=f(ω)  |ω|−1 r  r! . By choosing ω uniformly at random among al...

Ngày tải lên: 07/08/2014, 08:22