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Maximal Independent Sets In Graphs With At Most r Cycles

Chee Ying Goh·Khee Meng Koh·Bruce E. Sagan·V. Vatter
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Abstract

We find the maximum number of maximal independent sets in two families of graphs: all graphs with $n$ vertices and at most $r$ cycles, and all such graphs that are also connected. In addition, we characterize the extremal graphs.

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Chee Ying Goh, Khee Meng Koh, Bruce E. Sagan, V. Vatter. 2005-04-30. Maximal Independent Sets In Graphs With At Most r Cycles. https://arxiv.org/abs/math/0207100

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