The vertex-edge Wiener polynomials of a simple connected graph are defined based on the distances between vertices and edges of that graph. The first derivative of these polynomials at one are called the vertex-edge Wiener indices. In this paper, we express some basic properties of the first and second vertex-edge Wiener polynomials of simple connected graphs and compare the first and second ve...

Let $G= (V,E)$ be a $(p,q)$-graph. A bijection $f: Eto{1,2,3,ldots,q }$ is called an edge-prime labeling if for each edge $uv$ in $E$, we have $GCD(f^+(u),f^+(v))=1$ where $f^+(u) = sum_{uwin E} f(uw)$. Moreover, a bijection $f: Eto{1,2,3,ldots,q }$ is called a semi-edge-prime labeling if for each edge $uv$ in $E$, we have $GCD(f^+(u),f^+(v))=1$ or $f^+(u)=f^+(v)$. A graph that admits an  ...

The physical and mechanical properties of German Angora rabbit fiber obtained from the Northeast region India were studied. fineness, staple length, diameter, medullation overall fleece 0.22 ± 0.04 tex, 09.10 2.21 cm, 23.5 1.04 µm, 85.46 1.23%, respectively. cross-sectional shape was found elliptical to oval, average tenacity, breaking elongation, specific work rupture, initial modulus 24.78 11...

One of the most fundamental features of digital image and the basic steps in image processing, analysis, pattern recognition and computer vision is the edge of an image where the preciseness and reliability of its results will affect directly on the comprehension machine system made objective world. Several edge detectors have been developed in the past decades, although no single edge detector...

S. Müller analyses lexicon entries referring to ancient Persia, including both traditional academic reference works such as Paulys Realencyclopadie der Classischen Altertumswissenschaft and more recent children’s encyclopaedias. She points out the tenacity of commonplaces emerging in 19th century, an interpretation Persian war battle between freedom tyranny alleged civilizing drive Alexander Gr...

this paper is dedicated to propose an algorithm in order to generate the certain isomers of some well-known fullerene bases. furthermore, we enlist the bipartite edge frustration correlated with some of symmetrically distinct in nite families of fullerenes generated by the oered process.