cyclic graph

cyclic graph

[¦sī·klik ′graf]
(mathematics)
A graph whose vertices correspond to the vertices of a regular polygon and whose edges correspond to the sides of the polygon.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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The algorithm of its construction is as follows: initially (n = 0), [C.sub.k,l,0] is a cyclic graph with the size l.
The total distance of every node of cyclic graph [C.sub.n] is equal to [n.sup.2] /4 where n is even integer and otherwise is ([n.sup.2] -1)/4.
In the relation above value of [E.sub.D] is absorbed energy inside full loop which corresponds complete level of a cycle ([A.sub.loop]) and [E.sub.S0] is elastic strain energy corresponds force maximum ([F.sub.max]) and displacement ([D.sub.max])obtained in a cycle of cyclic graph which have been shown on the following force-displacement figure (figure
The theory of a cyclic graphs was developed for solving problems of electrical networks and the study of trees was developed for enumerating isomers of organic compounds.
Ivan Gutman [3] introduced a generalization of the Wiener index for cyclic graphs called Szeged index.

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