Dominator coloring of a graph is proper (vertex) with the property that every vertex either alone in its color class or adjacent to all vertices at least one class. A dominated such vertex. The dominator chromatic number corona products and edge determined. Sharp lower upper bounds are given for products. hierarchical bounded from above two factors An application colorings genetic networks also...

At low magnification, a biopsy specimen from the edge of the lesion showed a slightly acanthotic and ulcerated but otherwise unremarkable epidermis as well as a granulomatous inflammatory infiltrate throughout the full thickness of the dermis and subcutaneous tissue. The granulomas had a lymphocytic corona (Fig. 2). Higher magnification revealed basophilic dot-like structures in the cytoplasm o...

The dynamics of grain ejection consecutive to a sphere impacting a granular material is investigated experimentally and the variations of the characteristics of grain ejection with the control parameters are quantitatively studied. The time evolution of the corona formed by the ejected grains is reported, mainly in terms of its diameter and height, and favorably compared with a simple ballistic...

At low magnification, a biopsy specimen from the edge of the lesion showed a slightly acanthotic and ulcerated but otherwise unremarkable epidermis as well as a granulomatous inflammatory infiltrate throughout the full thickness of the dermis and subcutaneous tissue. The granulomas had a lymphocytic corona (Fig. 2). Higher magnification revealed basophilic dot-like structures in the cytoplasm o...

At low magnification, a biopsy specimen from the edge of the lesion showed a slightly acanthotic and ulcerated but otherwise unremarkable epidermis as well as a granulomatous inflammatory infiltrate throughout the full thickness of the dermis and subcutaneous tissue. The granulomas had a lymphocytic corona (Fig. 2). Higher magnification revealed basophilic dot-like structures in the cytoplasm o...

Let G be a graph and f : V (G) → {1, 2, 3, . . . , p+ q} be an injection. For each edge e = uv and an integer m ≥ 2, the induced Smarandachely edge m-labeling f∗ S is defined by f ∗ S(e) = ⌈ f(u) + f(v) m ⌉ . Then f is called a Smarandachely super m-mean labeling if f(V (G))∪ {f∗(e) : e ∈ E(G)} = {1, 2, 3, . . . , p+ q}. Particularly, in the case of m = 2, we know that f ∗(e) =    f(u)+f(v) ...

The disk-corona evaporation model naturally interprets many observational phenomena in black hole X-ray binaries, such as the truncation of an accretion disk and the spectral state transitions. On the other hand, magnetic field is known to play an important role in transporting angular momentum and producing viscosity in accretion flows. In this work, we explicitly take the magnetic field in th...

We present a comprehensive spectral analysis of black hole X-ray binaries, LMC X–1 and LMC X–3, based on BeppoSAX observations. We test both the multi-color disk plus power law (MCD+PL) model and a newly-developed Monte-Carlo simulationbased model for a Comptonized MCD (CMCD) with either a spherical or a slab-like corona, by comparing the inferred parameters with independent direct measurements...

A vertex coloring of a graph G is a multiset coloring if the multisets of colors of the neighbors of every two adjacent vertices are different. The minimum k for which G has a multiset k-coloring is the multiset chromatic number χm(G) of G. For every graph G, χm(G) is bounded above by its chromatic number χ(G). The multiset chromatic numbers of regular graphs are investigated. It is shown that ...