A connected graph with edge connectivity λ and minimum degree δ is called maximally edge-connected if λ = δ. A strongly connected digraph with arc connectivity λ and minimum degree δ is called maximally arc-connected if λ = δ. In this paper, some new sufficient conditions are presented for maximally edge-connected graphs and arc-connected digraphs. We only consider finite graphs (digraphs) with...

An analysis of B → Kπ decays is given, assuming a small elastic πK rescattering phase difference. Using factorization model elastic πK rescattering phase difference. Using factorization model only for the tree-level and electroweak penguin amplitudes, we show that the strong penguin amplitude, its absorptive part and the CP-violation weak phase γ can be obtained from the measured B → Kπ branchi...

We explicitly determine the skew-symmetric eigenvectors and corresponding eigenvalues of the real symmetric Toeplitz matrices T = T (a, b, n) := (a+ b|j − k|)1≤j,k≤n of order n ≥ 3 where a, b ∈ R, b 6= 0. The matrix T is singular if and only if c := a b = −n−1 2 . In this case we also explicitly determine the symmetric eigenvectors and corresponding eigenvalues of T . If T is regular, we explic...

Let δ be a nondegenerate coaction of G on a C∗-algebra B, and let H be a closed subgroup of G. The dual action δ̂ : H → Aut(B×δ G) is proper and saturated in the sense of Rieffel, and the generalised fixed-point algebra is the crossed product of B by the homogeneous space G/H . The resulting Morita equivalence is a version of Mansfield’s imprimitivity theorem which requires neither amenability n...

An analysis of B → Kπ decays is given, assuming a small elastic πK rescattering phase difference. Using factorization model elastic πK rescattering phase difference. Using factorization model only for the tree-level and electroweak penguin amplitudes, we show that the strong penguin amplitude, its absorptive part and the CP-violation weak phase γ can be obtained from the measured B → Kπ branchi...

the flow characteristics around an elliptic cylinder with an axis ratio of ar=2 located near a flat plate were investigated experimentally. the elliptic cylinder was located on the inside and outside a turbulent boundary layer region whose thickness (δ) is 0.38b. the reynolds numbers based on the height of the cylinder cross-section were 15000 and 30000. measurements of mean velocity and turbul...

(non strict second order dominance) iff Eu(A) ≥ Eu(B) for all utility functions u on [a, b] such that u′ ≥ 0 and u′′ ≤ 0 . 3. Second order dominance and stop loss. Show that (1) holds (i) iff E(B−d)− ≥ E(A− d)− for all d ∈ [a, b] or (ii) iff Emin(d,B) ≤ Emin(d,A) for all d ∈ [a, b]. 4. Utility and ARA. (a) Show that there exists a unique utility function u on R with a given ARA ρ(x) and such th...

Integer programs with a fixed number of constraints can be solved in pseudo-polynomial time. We present a surprisingly simple algorithm and matching conditional lower bounds. Consider an IP in standard form max{cx : Ax = b, x ∈ Zn≥0}, where A ∈ Z , b ∈ Z and c ∈ Z. Let ∆ be an upper bound on the absolute values in A. We show that this IP can be solved in time O(m∆) · log(‖b‖∞). The previous bes...

We derive oscillation criteria for general-type neutral differential equations [x(t) +αx(t− τ) +βx(t+ τ)] = δ bax(t − s)dsq1(t,s) + δ ∫ d c x(t + s)dsq2(t,s) = 0, t ≥ t0, where t0 ≥ 0, δ = ±1, τ > 0, b > a ≥ 0, d > c ≥ 0, α and β are real numbers, the functions q1(t,s) : [t0,∞)× [a,b]→R and q2(t,s) : [t0,∞)× [c,d]→R are nondecreasing in s for each fixed t, and τ is periodic and continuous with ...