Abstract
PurposeCycle bases of graphs have many applications in science and engineering. For an efficient force method of structural analysis, a special cycle basis corresponding to sparse cycle adjacency matrix is required. The purpose of this paper is to develop an ant colony system (ACS) algorithm for the generation of a cycle basis, leading to suboptimal cycle bases.Design/methodology/approachIn this paper, an ACS algorithm is developed for the generation of a cycle basis, leading to suboptimal cycle basis corresponding to highly sparse flexibility matrices. Examples are included to illustrate the efficiency of the developed algorithm.FindingsA new approach is developed which uses the recently developed ACS algorithm for the optimization.Originality/valuePreviously, graph theoretical method had been used for the formation of suboptimal cycle bases. Here, optimization is performed using ACS algorithm for the first time.
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