S. V. Kurapov, A. V. Tolok, “Construction of a topological drawing of the most planar subgraph of the non-planar graph”, Avtomat. i Telemekh., 2018, Issue 5,Pages <nobr>24

This article is cited in 1 paper

Linear Systems

Construction of a topological drawing of the most planar subgraph of the non-planar graph

S. V. Kurapov^a, A. V. Tolok^b

^a Zaporozhé National University, Zaporozhé, Ukraine
^b Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: An algorithm was presented to construct a flat drawing of the non-planar graph. The source for solution of the problem is a set of isometric cycles of the graph, which allows one to reduce the solution to the discrete optimization methods. Consideration was given to the necessary concepts and structures for solution of the problem of constructing a planar topological graph drawing.

Keywords: graph, rotation of graph vertices, isometric cycles, planarity, planar part of a graph.

Presented by the member of Editorial Board: P. Yu. Chebotarev

Received: 19.02.2015