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Vertex-critical graphs of given diameter

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References

  1. B. Bollobás, Graphs with given diameter and maximal valency and with a minimal number of edges,Proc. of a Conference held at Math. Inst., Oxford, 1969 (Academic Press, 1971). 25–39.

  2. P. Erdős, Extremal problems in graph theory. Chapter 8 ofA Seminar on Graph Theory (F. Harary ed.) (New York, 1967), 54–59.

  3. F. Gliviak, On certain classes of graphs of diameter two without superfluous edges,Acta Fac. R. N. Univ. Comen.-Mathematica,21 (1968), 39–48.

    Google Scholar 

  4. F. Gliviak-J. Plesník, On the existence of certain over-graphs of given graphs,Acta Fac. R. N. Univ. Comen.-Mathematica,23 (1969), 113–119.

    Google Scholar 

  5. F. Harary,Graph theory, Addison-Wesley Publ. Comp. (Reading, Massachusetts, 1969).

    Google Scholar 

  6. J. W. Moon, On the diameter of a graph,Mich. Math. J.,12 (1965), 349–351.

    Google Scholar 

  7. O. Ore, Diameter in graphs,J. Comb. Theory,5 (1968), 75–81.

    Google Scholar 

  8. J. Plesník, Critical graphs of given diameter,Acta Fac. R. N. Univ. Comen.-Mathematica,30 (1975) (in print).

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Gliviak, F. Vertex-critical graphs of given diameter. Acta Mathematica Academiae Scientiarum Hungaricae 27, 255–262 (1976). https://doi.org/10.1007/BF01902102

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