Let G1,G2 be two connected graphs. Denote the corona and the edge corona of G1, G2 by G1 ◦ G2 and G = G1 G2, respectively. In this paper, we compute the Laplacian spectrum of the corona G◦H of two arbitrary graphs G and H and the edge corona of a connected regular graph G1 and an arbitrary graph G2.

Here we demonstrate how a complementary analysis of nanocapsule-protein interactions with and without application media allows gaining insights into the so called hard and soft protein corona. We have investigated how both human plasma and individual proteins (human serum albumin (HSA), apolipoprotein A-I (ApoA-I)) adsorb and interact with hydroxyethyl starch (HES) nanocapsules possessing diffe...

The corona G◦H of two graphs G and H is the graph obtained by taking one copy of G and |V (G)| copies of H and joining each i-th vertex of G to every vertex in the i-th copy of H. The neighborhood coronaG⋆H of two graphs G and H is the graph obtained by taking one copy of G and |V (G)| copies of H and joining the neighbors of the i-th vertex of G to every vertex in the i-th copy of H. In this p...

The Corona Current in air gaps influences the values of the breakdown voltage of the air gaps greatly. This happens because the corona current changes the field distribution in the gap making it less inhomogeneous. Thus the value of the breakdown voltage increases and becomes bigger as the value of the corona current increases. A major result of this phenomenon is the appearance of the Polarity...

Let $G$ be a finite and simple graph with edge set $E(G)$‎. ‎The revised Szeged index is defined as‎ ‎$Sz^{*}(G)=sum_{e=uvin E(G)}(n_u(e|G)+frac{n_{G}(e)}{2})(n_v(e|G)+frac{n_{G}(e)}{2}),$‎ ‎where $n_u(e|G)$ denotes the number of vertices in $G$ lying closer to $u$ than to $v$ and‎ ‎$n_{G}(e)$ is the number of‎ ‎equidistant vertices of $e$ in $G$‎. ‎In this paper...

The use of electrical corona discharge opens broad possibilities for effective development of electrostatic precipitators (ESPs). The object of the work is the study of the corona discharge in different gases at high temperature / high pressure (HT/HP) conditions. The studies are carried out in a HT/HP ionizer in the pure synthetic air, N2, He and He-synthetic air and He-N2 gas mixtures. Corona...

State-space techniques are used for the computation of the surge response of a transmission line with corona. The transmission line is treated as the series connection of short line sections, and the effect of corona is represented in each section by a nonlinear (voltage dependent) capacitor-conductance branch. Surge response of the transmission line is obtained for various corona models by tak...

A partition of V (G), all of whose classes are dominating sets in G, is called a domatic partition of G. The maximum number of classes of a domatic partition of G is called the domatic number of G. The concept of a domatic number was introduced in [1]. More interesting results on domatically full graphs, domatically critical, domatically cocritical graphs and other domatic numbers can be found ...

A simplified frequency integrated radiative transfer equation is solved to study Compton scatterings in the corona of the disk by using numerical iterating method. We find that the vertical thickness of the corona cannot be used as the typical length to measure the optical depth of the corona. A semi-analytical approach is proposed to calculate the energy dissipations in the corona of the disk....