Given an arbitrary non-empty subset M of vertices in a graph G = (V,E), each vertex u in G is associated with the set f o M(u) = {d(u, v) : v ∈ M, u 6= v}, called its open M-distance-pattern. The graph G is called open distancepattern uniform (odpu-) graph if there exists a subset M of V (G) such that f o M(u) = f o M(v) for all u, v ∈ V (G) and M is called an open distance-pattern uniform (odp...

. Let G be a connected graph. A set S ⊆ V (G) is an outer-connected 2-resolving hop dominating of if and = or the subgraph ⟨V (G)\S⟩ induced by (G)\S connected. The domination number G, denoted γ^c2Rh(G) smallest cardinality G. This study aims to combine concept with sets graphs. main results generated in this include characterization join, corona, edge corona lexicographic product graphs, as w...

Abstract. A new approach of the Polarity Effect in connection to the Corona Current and the Ground Effect in small rod-plate and rod-rod air gaps is presented. The influence of the polarity of the applied voltage to the corona onset voltage or the breakdown voltage of small rod-plate and rod-rod air gaps is investigated. The influence of the grounding of one of the electrodes, to the field dist...

The hard X-ray emission of active galactic nuclei (AGN) is believed to originate from the hot coronae above the cold accretion discs. The hard X-ray spectral index is found to be correlated with the Eddington ratio Lbol/LEdd, and the hard X-ray bolometric correction factor Lbol/LX,2−10keV increases with the Eddington ratio. The Compton reflection is also found to be correlated with the hard X-r...


 Let G be a connected graph. A set S ⊆ V (G) is restrained 2-resolving hop dominating of if and = or ⟨V (G)\S⟩ has no isolated vertex. The domination number G, denoted by γr2Rh(G) the smallest cardinality G. This study aims to combine concept with sets graphs. main results generated in this include characterization join, corona, edge corona lexicographic product graphs, as well their corr...

For p ∈ (0, 1), let Q p be the subspace consisting of Möbius bounded functions in the Dirichlet-type space. Based on the study of the multipliers in Q p , we establish the corona theorem for Q p .

This paper deals with the numerical modelling of corona discharges induced by electrohydrodynamic actuators. A specific numerical method is proposed and discussed to compute the multiscale nature observed in the modelling of corona discharges. The idea consists in a domain decomposition of the computational domain where each subdomain is described with a specific modelling well adapted to the p...

let $g=(v,e)$ be a‎ ‎simple graph of order $n$ and size $m$‎. ‎an $r$-matching of $g$ is ‎a set of $r$ edges of $g$ which no two of them have common vertex‎. ‎the hosoya index $z(g)$ of a graph $g$ is defined as the total‎ ‎number of its matchings‎. ‎an independent set of $g$ is a set of‎ ‎vertices where no two vertices are adjacent‎. ‎the ‎merrifield-simmons index of $g$ is defined as the tota...

Temperature inversions occur in nature, e.g., in the solar corona and in interstellar molecular clouds: Somewhat counterintuitively, denser parts of the system are colder than dilute ones. We propose a simple and appealing way to spontaneously generate temperature inversions in systems with long-range interactions, by preparing them in inhomogeneous thermal equilibrium states and then applying ...

It is clear that the solar corona is being heated and that coronal magnetic fields undergo reconnection all the time. Here we attempt to show that these two facts are related--i.e. coronal reconnection generates heat. This attempt must address the fact that topological change of field lines does not automatically generate heat. We present one case of flux emergence where we have measured the ra...