A highly efficient algorithm to determine bicritical graphs

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Abstract

In this paper, we show a necessary and sufficient condition which characterizes all bicritical graphs. Using this necessary and sufficient condition we develop a highly efficient algorithm to determine whether a graph is bicritical, of which the time complexity is bounded by O (|V | |E|), and this is the best result that has ever been known.

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Lou, D., & Zhong, N. (2001). A highly efficient algorithm to determine bicritical graphs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2108, pp. 349–356). Springer Verlag. https://doi.org/10.1007/3-540-44679-6_38

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