We investigate the use of beam polarisation as well as final state τ polarisation effects in probing the interaction of the Higgs boson with a pair of heavy vector bosons in the process ee → ff̄H , where f is any light fermion. The sensitivity of the International Linear Collider (ILC) operating at √ s = 500 GeV, to such V V H(V = W/Z) couplings is examined in a model independent way. The effect...

We extend 2-way deterministic push-down automata (2DPDAs) with a write-once-readmany (WORM) store. We show that it allows linear time simulation by a variant of Cook’s construction. As an example we develop a linear time algorithm that recognizes the language {V V −1WW−1 | V, W ∈ (a | b)∗}, that by Aho, Hopcroft and Ullman is conjectured not to be recognizable by a 2DPDA. Thus we believe that t...

Lov\'{a}sz and Cherkassky discovered independently that, if $G$ is a finite graph $T\subseteq V(G)$ such that the degree $d_G(v)$ even for every vertex $v\in V(G)\setminus T$, then maximum number of edge-disjoint paths which are internally disjoint from~$T$ connect distinct vertices $T$ equal to $\frac{1}{2} \sum_{t\in T}\lambda_G(t, T\setminus \{t\})$ (where $\lambda_G(t, size smallest cut sep...

Given a binary relation R on the setX, we define S : X×X → X×X by setting S((u, v)) to be (u, v) if uRv, and (v, u) otherwise. This construction represent a way to associate a function to an arbitrary relation. We give simple conditions that completely characterize the relations R for which S satisfies the set-theoretical Yang-Baxter equation. 2000 Mathematics Subject Classification: 16T25, 05C...

A fundamental notion in metric graph theory is that of the interval function I : V × V → 2V − {∅} of a (finite) connected graph G = (V,E), where I(u, v) = { w | d(u, w) + d(w, v) = d(u, v) } is the interval between u and v. An obvious question is whether I can be characterized in a nice way amongst all functions F : V × V → 2V − {∅}. This was done in [13, 14, 16] by axioms in terms of propertie...

Given a graph G and a set X ⊆ V (G), the relative Wiener index of X in G is defined as WX(G) = ∑ {u,v}∈(X2 ) dG(u, v) . The graphs G (of even order) in which for every partition V (G) = V1+V2 of the vertex set V (G) such that |V1| = |V2| we have WV1(G) = WV2(G) are called equal opportunity graphs. In this note we prove that a graph G of even order is an equal opportunity graph if and only if it...

Equivalent circuit models of solar cells are important for understanding the behavior photovoltaic systems under different weather conditions. They provide an equation F(V,I)=0 that expresses correspondence between voltage V and current I a cell can deliver. The performance cell, and, therefore, parameters F, depend on cell’s temperature incoming light’s energy angle. One would like to simulate...

We report the discovery of a new Milky Way satellite in the constellation Leo, identified in data from the Sloan Digital Sky Survey. It lies at a distance of ∼ 180 kpc, and is separated by . 3 from another recent discovery, Leo IV. We present follow-up imaging from the Isaac Newton Telescope and spectroscopy from the Hectochelle fiber spectrograph at the Multiple Mirror Telescope. Leo V’s helio...