Berge Conjecture states that every bridgeless cubic graph has 5 perfect matchings such that each edge is contained in at least one of them. In this paper, we show that Berge Conjecture holds for two classes of cubic graphs, cubic graphs with a circuit missing only one vertex and bridgeless cubic graphs with a 2-factor consisting of two circuits. The first part of this result implies that Berge ...

Folding of protein-like heteropolymers into unique 3D structures is investigated using Monte Carlo simulations on a cubic lattice. We found that folding time of chains of length $N$ scales as $N^\lambda$ at temperature of fastest folding. For chains with random sequences of monomers $\lambda \approx 6$, and for chains with sequences designed to provide a pronounced minimum of energy to their gr...

This paper addresses a new path planning method, whose objective is to build a process to generate a path which connects two configurations of car-like mobile robots. The generated path is constituted by both cubic spirals and straight lines, and has continuous and bounded curvature. We will show the procedure to find the path with theoretical minimal length and to simplify it for the reason of...

We study a cubic lattice gas model for nuclear matter where each lattice site can be either occupied, by one proton or one neutron, or unoccupied. A nearest-neighbor interaction of the form − J ij τ zi τ zj is assumed. Our model is an isospin-1 Ising model, with τ z = (1,0,-1) representing respectively (proton, vacancy, neutron). A kinetic-energy term has been included in our model. Under ...

In this paper, the mer-Co(NH3)3(NO2)3 complex was used as a new precursor for synthesizing spinel-type cobalt oxide nanoparticles (Co3O4NPs).Thermal decomposition of the complex at low temperature (175 °C) resulted in the Co3O4NPs without using expensive and toxic solvents or complicated equipment. XRD, FT-IR, SEM, EDX, and TEM were employed to characterize the product, and its optical and magn...

Molecular dynamics simulation was used to study structural and dynamical properties of InSb. The effective potential takes into account two and three-body interactions, considering atomic-size effects and charge-charge, charge-dipole, and dipole-dipole interactions between 1000 particles, 500 In and 500 Sb, initially within a cubic box of side L=32.397 Å. The effect of hydrostatic pressure and ...

We investigate the scaling properties of the speciic heat of the XY model on lattices H H L with L H (i.e. in a bar-like geometry) with respect to the thickness H of the bar, using the Cluster Monte Carlo method. We study the eeect of the geometry and boundary conditions on the shape of the universal scaling function of the speciic heat by comparing the scaling functions obtained for cubic, lm,...

Bodil Branner and John Hubbard produced the first extensive study of iterated complex maps for cubic polynomials in Picard orbit [Acta Math., 160(3-4):1988, 143-206]. Since then few researchers worked on Julia sets for cubic polynomials. In 2004, Rani and Kumar [J. Korea Soc. Math. Educ. Ser. D; Research in Math. Educ., 8(4):2004, 261-277] studied cubic polynomials in superior orbit and gave im...

Bivariate cubic L1 smoothing splines are introduced. The coefficients of a cubic L1 smoothing spline are calculated by minimizing the weighted sum of the L1 norms of second derivatives of the spline and the 1 norm of the residuals of the data-fitting equations. Cubic L1 smoothing splines are compared with conventional cubic smoothing splines based on the L2 and 2 norms. Computational results fo...