In a recent paper [S. Khrapak, Molecules 25, 3498 (2020)], the longitudinal and transverse sound velocities of conventional Lennard–Jones system at liquid–solid coexistence were calculated. It was shown that remain almost invariant along boundary lines their magnitudes are comparable with those repulsive soft-sphere hard-sphere models fluid–solid phase transition. This implies attraction does n...

The glueing-construction described in this paper makes use of two generalized quadrangles with a spread in each of them and yields a partial linear space with special properties. We study the conditions under which glueing will give a near hexagon. These near hexagons satisfy the nice property that every two points at distance 2 are contained in a quad. We characterize the class of the “glued n...

In this note we will generalize the Higman-Haemers inequalities for generalized polygons to thick regular near polygons.

In this work we deal with sandwich graphs G=(V,E) and present the notion of vertices f-controlled by a subset MDV . We introduce the generalized max-controlled set problem (GMCSP), where minimum gaps (defined by function f) and positive weights are associated to each vertex of V. In this case, the objective is to find a sandwich graph G in order to maximize the sum of the weights associated to ...

Copyright q 2012 Kalyan Kumar Dey et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Let N be a 2-torsion free prime Γ-near-ring with center ZN. Let f, d and g, h be two generalized derivations on N. We prove the following res...

Robotic motion-planning problems, such as a UAV flying fast in a partially-known environment or a robot arm moving around cluttered objects, require finding collision-free paths quickly. Typically, this is solved by constructing a graph, where vertices represent robot configurations and edges represent potentially valid movements of the robot between these configurations. The main computational...

We prove some theorems in the setting of a 3-prime near-ring admitting a suitably constrained generalized derivation, thereby extending some known results on derivations. Moreover, we give an example proving that the hypothesis of 3-primeness is necessary.