Independence and the Havel-Hakimi residue

@article{Griggs1994IndependenceAT,
  title={Independence and the Havel-Hakimi residue},
  author={Jerrold R. Griggs and Daniel J. Kleitman},
  journal={Discrete Mathematics},
  year={1994},
  volume={127},
  pages={209-212}
}
Favaron et al. (1991) have obtained a proof of a conjecture of Fajtlowicz' computer program Graffiti that for every graph G the number of zeroes left after fully reducing the degree sequence as in the Havel-Hakimi Theorem is at most the independence number of G. In this paper we present a simplified version of the proof of Graffiti's conjecture, and we find how the residue relates to a natural greedy algorithm for constructing large independent sets in G. 
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