Graphical theorems of the Nordhaus-Gaddum class

1. Y. Alavi and M. Behzad, "Complementary Graphs and Edge Chromatic Numbers", J. SIAM Appl. Math. (to appear).

   Google Scholar 

2. Y. Alavi and J. Mitchem, "Connectivity and Line-Connectivity of Complementary Graphs", (this volume).

   Google Scholar 

3. M. Behzad, Graphs and Their Chromatic Numbers, Doctoral thesis, Michigan State University, 1965.

   Google Scholar 

4. G.A. Dirac, "Graph Union and Chromatic Number", J. London Math. Soc., 39 (1964), 451–454.

   Article  MathSciNet  MATH  Google Scholar 

5. H.J. Finck, "On the Chromatic Numbers of a Graph and its Complement", Theory of Graphs (P. Erdos and G. Katona, eds.) Academic Press (1968), 99–113.

   Google Scholar 

6. D. Geller and S. Hedetniemi, "A Proof Technique in Graph Theory", Proof Techniques in Graph Theory (F. Harary, ed.) Academic Press (1969), 49–59.

   Google Scholar 

7. R.P. Gupta, "Bounds on the Chromatic and Achromatic Numbers of Complementary Graphs", Recent Progress in Combinatorics (W.T. Tutte, ed.) Academic Press (1969), 229–235.

   Google Scholar 

8. F. Harary and S. Hedetniemi, "The Achromatic Number of a Graph", J. Combinatorial Theory, 8 (1970), 154–161.

   Article  MathSciNet  MATH  Google Scholar 

9. S. Hedetniemi, "Homomorphisms of Graphs and Automata", University of Michigan, Tech. Rept., pp. 24–25. Ann Arbor, Michigan (1966).

   Google Scholar 

10. D.R. Lick and A.T. White, "k-Degenerate Graphs", Canad. J. Math. (to appear).

    Google Scholar 

11. D.R. Lick and A.T. White, "Point Partition Numbers of Graphs and Their Complements", (in preparation).

    Google Scholar 

12. J. Mitchem, On Extremal Partitions of Graphs, Doctoral Thesis, Western Michigan University, 1970.

    Google Scholar 

13. E.A. Nordhaus and J.W. Gaddum "On Complementary Graphs", Amer. Math. Monthly, 63 (1956), 175–177.

    Article  MathSciNet  MATH  Google Scholar 

14. B.M. Stewart, "On a Theorem of Nordhaus and Gaddum", J. Combinatorial Theory, 6 (1969), 217–218.

    Article  MathSciNet  MATH  Google Scholar 

15. G. Szekeres and H.S. Wilf, "An Inequality for the Chromatic Number of a Graph", J. Combinatorial Theory, 4 (1968), 1–3.

    Article  MathSciNet  MATH  Google Scholar 

16. V.G. Vizing, "On an Estimate of the Chromatic Class of a p-Graph", (Russian), Diskret. Analiz. 3 (1964), 25–30.

    MathSciNet  Google Scholar 

17. V.G. Vizing, "The Chromatic Class of a Multigraph", Cybernetics, 1 (1965), No. 3. 32–41.

    Article  MathSciNet  MATH  Google Scholar 

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