# Cycle bases in graphs characterization, algorithms, complexity, and applications

@article{Kavitha2009CycleBI, title={Cycle bases in graphs characterization, algorithms, complexity, and applications}, author={T. Kavitha and Christian Liebchen and K. Mehlhorn and D. Michail and R. Rizzi and T. Ueckerdt and K. Zweig}, journal={Comput. Sci. Rev.}, year={2009}, volume={3}, pages={199-243} }

Cycles in graphs play an important role in many applications, e.g., analysis of electrical networks, analysis of chemical and biological pathways, periodic scheduling, and graph drawing. From a mathematical point of view, cycles in graphs have a rich structure. Cycle bases are a compact description of the set of all cycles of a graph. In this paper, we survey the state of knowledge on cycle bases and also derive some new results. We introduce different kinds of cycle bases, characterize them inâ€¦Â Expand

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