Computer Sciences

Modeling the Dynamics of Massless Charge Carries is Two-Dimensional System

Authors: Levenets S. A., Verevin T. T., Makhankov A. V., Panferov A. D., Pirogov S. O.

The paper presents the results obtained in the process of developing a system for simulating the generation of massless charge carriers with a photon-like spectrum by an external electric field for two-dimensional media. The basis of the system is a physical model of the process, built in the formalism of a kinetic equation for an adequate quantum-field theory. It does not use simplifying assumptions, including expansions in some small parameters (perturbation theory). In this sense, the model used is accurate.

The Study of the Statistical Characteristics of the Text Based on the Graph Model of the Linguistic Corpus

Authors: Grigorieva E. G., Klyachin V. A.

The article is devoted to the study of the statistical characteristics of the text, which are calculated on the basis of the graph model of the text from the linguistic corpus. The introduction describes

Construction of All Minimal Edge Extensions of the Graph with Isomorphism Rejection

Authors: Abrosimov M. B., Lobov A. A., Sudani H. H.

In 1993 Frank Harary and John P. Hayes proposed a graph model for investigating edge fault tolerance of discrete systems. The technical system is mapped to a graph. The elements of the system correspond to the vertices of the graph, and links between the elements correspond to edges or arcs of the graph. Failure of a system element refers to the removal of the corresponding vertex from the system graph along with all its edges. The formalization of a fault tolerant system implementation is the extension of the graph.