The aim of this paper is to present some odd graceful graphs. In particular we show that an odd graceful labeling of the all subdivision of double triangular snakes ( 2 k ∆ -snake ). We also prove that the all subdivision of 2 1 m∆ -snake are odd graceful. Finally, we generalize the above two results (the all subdivision of 2 k m∆ -snake are odd graceful).

Marine saponins are naturally glycosides compounds which possess important biomedical properties such as anti-cancer, antioxidant and anti-inflammatory. Nevertheless, no systematic studies on the anti-inflammatory potential of brittle star saponin and its underlying mechanisms have been reported. In this study, Ophiocoma erinaceus extracted saponin was investigated for its in vitro anti-inflamm...

it is well know that any three impedances or admittances connected into each other in a star form can be easily transformed to a new three impedances or admittances connected into each other in a mesh form. in this paper a generalization of this fact is established and it is shown that in an n + 1 node network which is connected in a form it is always possible to eliminate the center node and o...

Nonlinear subdivision schemes that operate on manifolds are of use whenever manifold valued data have to be processed in a multiscale fashion. This paper considers the case where the manifold is a Lie group and the nonlinear subdivision schemes are derived from linear interpolatory ones by the so-called log-exp analogy. The main result of the paper is that a multivariate interpolatory Lie group...

materials and methods samples were collected from six different farms and milk factories in iran, and were tested by beta-star and cylinder-plate methods. results among 992 raw milk samples, 236 positive samples, 9 suspected and 747 negative samples in respond to beta-star test and among 236 samples, which had positive responses to beta-star test, 28 positive, 0 suspected and 208 negative resul...

For a simplicial subdivison of a region in R, we analyze the dimension of the vector space C k ( ) of C piecewise polynomial functions (splines) on of degree at most k. We nd an exact sequence which allows us to prove that the dimension series for splines given by Billera and Rose in [5] does indeed agree with the bounds on the dimension of the spline space given by Alfeld and Schumaker in [1],...

In the present work, we have obtained the equation of state for neutron star matter considering the in uence of the ferromagnetic and antiferromagnetic spin state. We have also investigated the structure of neutron stars. According to our results, the spin asymmetry stiens the equation of state and leads to high mass for the neutron star.