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Proof of Ding’s conjecture on maximal stable sets and maximal cliques in planar graphs

✍ Scribed by Jing Sun; Zhi-quan Hu


Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2010
Tongue
English
Weight
185 KB
Volume
26
Category
Article
ISSN
0168-9673

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Constraints on the number of maximal ind
✍ 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