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Maximal independent sets in the covering graph of the cube

✍ Scribed by Duffus, Dwight; Frankl, Peter; Rödl, Vojtěch

Book ID
121913067
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
219 KB
Volume
161
Category
Article
ISSN
0166-218X

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📜 SIMILAR VOLUMES

The number of maximal independent sets i
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We determine the maximum on n vertices can have, and we a question of Wilf. number of maximal independent sets which a connected graph completely characterize the extremal graphs, thereby answering \* Partially supported by NSF grant number DIMS-8401281. t Partially supported by NSF grant number D S

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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,

Constraints on the number of maximal ind
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✍ Jiuqiang Liu 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 387 KB 👁 2 views

## 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__. Let __i(G)__ denote the number of maximal independent sets of __G__. Here, we prove two conjectures, suggested by P. Erdös, that the maximum number of m