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Geodetic graphs of diameter two

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Abstract

We survey what is known on geodetic graphs of diameter two and discuss the implications of a new strong necessary condition for the existence of such graphs.

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References

  1. Biggs, N.L., The symmetry of line graphs, Utilitas Math. 5 (1974) 113–121.

    Google Scholar 

  2. Haemers, W.H., Eigenvalue techniques in design and graph theory, Reidel, Dordrecht (1980). Thesis (T.H. Eindhoven, 1979) = Math. Centr. Tract 121 (Amsterdam, 1980)

    Google Scholar 

  3. Kantor, W.M., Moore geometries and rank 3 groups having μ=1, Quart. J. Math. Oxford (2) 28 (1977) 309–328. MR 57#6153

    Google Scholar 

  4. Ore, O., Theory of graphs, Amer. Math. Soc., Providence, R.I. (1962).

    Google Scholar 

  5. Stemple, J.G., Geodetic graphs of diameter two, J. Combinatorial Th. (B) 17 (1974) 266–280.

    Google Scholar 

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Blokhuis, A., Brouwer, A.E. Geodetic graphs of diameter two. Geom Dedicata 25, 527–533 (1988). https://doi.org/10.1007/BF00191941

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  • DOI: https://doi.org/10.1007/BF00191941