Using a sequential layout algorithm in multimedia designs
Journal Title: Інформаційно-керуючі системи на залізничному транспорті - Year 2018, Vol 23, Issue 6
Abstract
On the basis of theoretical generalization and work in the field of algorithmization of typical design engineering problems in automated systems, the author has developed a sequential algorithm for arranging elements. As a construction of a formal mathematical model, graph theory was used. This allows you to abstract away from specific schemes and move on to their mathematical models - graphs - to develop effective methods for finding optimal design solutions. The aim of the article is to develop a sequential layout algorithm based on splitting a multigraph into subgraphs, taking into account the criterion of the minimum number of connections between a subgraph to increase the reliability of the scheme. The task of assembling is reduced to the execution of the algorithm, where first, by a certain rule, the first vertex of the graph is selected, then the consecutive selection of the vertices (from among those not distributed) is performed and attached to the formed piece of the graph. After forming the first piece, taking into account the specified restrictions on the maximum number of links of each individual subgraph and the number of vertices in the subgraph go to the second and so on until the desired partition of the original graph is obtained. However, the developed algorithm has both a number of advantages and disadvantages. As an advantage, it is possible to note the simplicity of implementation and high speed. As a drawback, the narrow scope of the algorithm is due to the non-optimality of the results obtained. This algorithm is effective when there are restrictions on the joint layout of individual vertices of the graph.
Authors and Affiliations
Y. Koroleva, I. Bielikov
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