# The second largest number of maximal independent sets in graphs with at most two cycles

@article{Jou2016TheSL, title={The second largest number of maximal independent sets in graphs with at most two cycles}, author={Min-Jen Jou and Jenq-Jong Lin}, journal={The International Journal of Contemporary Mathematical Sciences}, year={2016}, volume={11}, pages={293-299} }

Amaximal independent set is an independent set that is not a proper subset of any other independent set. Jou and Chang determined the largest number of maximal independent sets among all graphs and connected graphs of order n, which contain at most one cycle. Later B. E. Sagan and V. R. Vatter found the largest number of maximal independent sets among all graphs of order n, which contain at most r cycles. In 2012, Jou settled the second largest number of maximal independent sets in graphs with…

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