Israel Journal of Mathematics

, Volume 73, Issue 2, pp 247–256 | Cite as

Independent sets in regular graphs and sum-free subsets of finite groups

  • Noga Alon


It is shown that there exists a function(k) which tends to 0 ask tends to infinity, such that anyk-regular graph onn vertices contains at most 2(1/2+∈(k))n independent sets. This settles a conjecture of A. Granville and has several applications in Combinatorial Group Theory.


Bipartite Graph Finite Group Regular Graph Cayley Graph Hadamard Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© The Weizmann Science Press of Israel 1991

Authors and Affiliations

  • Noga Alon
    • 1
  1. 1.Department of Mathematics Sackler Faculty of Exact SciencesTel Aviv UniversityTel AvivIsrael

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