Given that a graph G = (V, E). By an edge-antimagic vertex labeling of graph, we mean assigning labels on each under the label function f : V → {1, 2, . , |V (G)|} such associated weight edge uv ∈ E(G), namely w(xy) f(x) + f(y), has distinct weight. A path P in vertex-labeled is said to be rainbow if for every two edges xy, x′y ′ E(P) satisfies ̸= w(x ′y ). The called antimagic vertices x and y ...

Let G be a connected graph and k ≥ 1 an integer. The open k-neighborhood Nk G(v) of v ∈ V (G) is the set = {u \ {v}: dG(u, v) ≤ k}. A S vertices called distance k-cost effective if for every vertex u in S, |Nk G(u) ∩ (V S)| − S| 0. maximum cardinality upper number G. In this paper, we characterized sets corona lexicographic product two graphs. Consequently, bounds or exact values numbers these ...

every year, millions of muslims from all over the world, are going to participate in the pilgrimage hajj located in mecca in kingdom of saudi arabia (ksa). the accumulation of many people from all parts of the world in terms of health management is of great importance. in fact, every person could be a carrier of various chronic or acute diseases. this huge population may lead to occurrence of s...

A set S ⊆ V (G) of an undirected graph G is a locating-dominating if for each v ∈ \ S, there exists w such tha vw E(G) and NG(x) ∩ ̸= NG(y) any two distinct vertices x y in S. stable it {v} The minimum cardinality G, denoted by γSLD(G), called the locating-domination number G. In this paper, we investigate concept corresponding parameter edge corona lexicographic product graphs.

Time series observations at UV (Extreme Ultraviolet Imaging Telescope/Solar and Heliospheric Observatory) and X-ray (Soft X-Ray Telescope/Yohkoh) wavelengths reveal properties of the global solar corona that are not easily identiÐed in a single image. A median-Ðltering technique that rejects features varying with time is used to isolate background corona. The coronal hole boundaries, polar plum...

equivalently [Gar,VIII.2], the corona M(X) \ ι(X) is empty. (Here M(X) is the maximal ideal space of the algebra H∞(X) of bounded holomorphic functions on X and ι is the natural inclusion X ↪→ M(X).) If X does not satisfy the corona theorem then X may be said to have corona. Riemann surfaces known to satisfy the corona theorem include the unit disk [Car], bordered Riemann surfaces [All] [Sto], ...

Superparamagnetic iron oxide nanoparticles (SPIONs) have emerged as promising contrast agents for magnetic resonance imaging. The influence of different surface coatings on the biocompatibility of SPIONs has been addressed, but the potential impact of the so-called corona of adsorbed proteins on the surface of SPIONs on their biological behavior is less well studied. Here, we determined the com...

The protein corona formed around nanoparticles in protein-rich fluids plays an important role for nanoparticle biocompatibility, as found in several studies during the last decade. Biological fluids have complex compositions and the molecular components interact and function together in intricate networks. Therefore, the process to isolate blood or the preparation of blood derivatives may lead ...