The independent set polynomial is important in many areas of combinatorics, computer science, and statistical physics. For every integer Δ≥2, the Shearer threshold value λ⁎(Δ)=(Δ−1)Δ−1/ΔΔ. It known that for λ<−λ⁎(Δ), there are graphs G with maximum degree Δ whose polynomial, evaluated at λ, most 0. Also, no such any λ>−λ⁎(Δ). This paper motivated by computational problem approximating when λ<−λ...

We initiate research on self-stabilization in highly dynamic identified message-passing systems where dynamics is modeled using time-varying graphs (TVGs). More precisely, we address the self-stabilizing leader election problem three wide classes of TVGs: class TCB(Δ) TVGs with temporal diameter bounded by Δ, TCQ(Δ) quasi-bounded and TCR recurrent connectivity only, TCB(Δ)⊆TCQ(Δ)⊆TCR. first stu...

If X is a geodesic metric space and x1, x2, x3 ∈ X , a geodesic triangle T = {x1, x2, x3} is the union of the three geodesics [x1x2], [x2x3] and [x3x1] in X . The space X is δ-hyperbolic (in the Gromov sense) if any side of T is contained in a δ-neighborhood of the union of the two other sides, for every geodesic triangle T in X . We denote by δ(X) the sharpest hyperbolicity constant of X , i.e...

δ-Conotoxins are a family of small, disulfide-rich peptides found in the venoms of predatory cone snails (Conus). We examined in detail the effects of δ-conotoxin PVIA from the fish hunting cone snail Conus purpurascens on sodium currents in dissociated sympathetic neurons from the leopard frog Rana pipiens. We also compared this toxin’s effects with those of δ-conotoxin SVIE from Conus striatu...

Covalent modifications of histones play an important role in chromatin architecture and dynamics. In particular, histone lysine methylation is important for transcriptional control during diverse biological processes. The nuclear protein Jmjd5 (also called Kdm8) is a histone lysine demethylase that contains a JmjC domain in the C-terminal region. In this study, we have generated Jmjd5-deficient...

Given a matrix A with n rows, a number k < n, and 0 < δ < 1, A is (k, δ)-RIP (Restricted Isometry Property) if, for any vector x ∈ R, with at most k non-zero co-ordinates, (1− δ)‖x‖2 ≤ ‖Ax‖2 ≤ (1 + δ)‖x‖2 In other words, a matrix A is (k, δ)-RIP if Ax preserves the length of x when x is a k-sparse vector. In many applications, such as compressed sensing and sparse recovery, it is desirable to c...

Bats face numerous threats associated with global environmental change, including the rapid expansion of wind-energy facilities, emerging infectious disease, and habitat loss. An understanding of the movement and migration patterns of these highly dispersive animals would help reveal how spatially localized the impacts from these threats are likely to be on bat populations, thus aiding in their...

Ligand activation of peroxisome proliferator-activated receptor-β/δ (PPARβ/δ) and inhibition of cyclooxygenase-2 (COX2) activity by nonsteroidal anti-inflammatory drugs (NSAID) can both attenuate skin tumorigenesis. The present study examined the hypothesis that combining ligand activation of PPARβ/δ with inhibition of COX2 activity will increase the efficacy of chemoprevention of chemically in...

Let G be an infinite connected graph with minimum degree δ and maximum degree ∆. Let Gp be a random induced subgraph of G obtained by selecting each vertex of G independently with probability p, 0 < p < 1, and let G≤k p be the induced subgraph of Gp obtained by deleting all vertices of Gp with degree greater than k in Gp. We show that if δ ≥ 6 and ∆/δ is not too large then G≤3 p almost surely h...