Bounds for the chromatic number of graphs with partial information

  title={Bounds for the chromatic number of graphs with partial information},
  author={William C. Coffman and S. Louis Hakimi and Edward F. Schmeichel},
  journal={Discrete Mathematics},
We obtain bounds for the chromatic and clique numbers of a simple graph, 3rst in terms of the number of vertices and edges it contains, and then in terms of its vertex degrees. In every case, we examine the tightness of the bounds we obtain. We also brie7y discuss lower bounds for the independence number of a graph in terms of the same parameters. c © 2002 Elsevier Science B.V. All rights reserved. 

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