Counting maximal independent sets in directed path graphs
β Scribed by Lin, Min-Sheng; Su, Sheng-Huang
- Book ID
- 124128432
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 274 KB
- Volume
- 114
- Category
- Article
- ISSN
- 0020-0190
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## Abstract A maximal independent set of a graph __G__ is an independent set that is not contained properly in any other independent set of __G.__ In this paper, we determine the maximum number of maximal independent sets among all bipartite graphs of order __n__ and the extremal graphs as well as
Generalizing a theorem of Moon and Moser. we determine the maximum number of maximal independent sets in a connected graph on n vertices for n sufficiently large, e.g., n > 50. = I .32. . .). Example 1.2. Let b, = i(C,), where C,z denotes the circuit of length n. Then b, = 3, 6, = 2, b, = 5, and b,