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The current status of the generalised moore graph problem

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Combinatorial Mathematics VI

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 748))

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References

  1. N.L. Biggs, Algebraic Graph Theory, Cambridge Tracts in Mathematics No. 67 (Cambridge University Press, London, 1974).

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  2. V.G. Cerf, D.D. Cowan, R.C. Mullin, R.G. Stanton, Computer Networks and Generalised Moore Graphs, Proceedings Third Manitoba Conference on Numerical Mathematics, Congressus Numerantium IX (Winnipeg, 1973), 379–398.

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  3. V.G. Cerf, D.D. Cowan, R.C. Mullin, R.G. Stanton, Topological Design Considerations in Computer Communications Networks, Computer Communication Networks (ed. R.L. Grimsdale and F.F. Kuo), Nato Advanced Study Institute Noordhoff, Leyden (1975).

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  4. V.G. Cerf, D.D. Cowan, R.C. Mullin, R.G. Stanton, A Partial Census of Trivalent Generalised Moore Graphs, Invited Address, Proc. 3rd Australian Combinatorial Conference (Brisbane, 1974), (Springer-Verlag), 1–27.

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  5. V.G. Cerf, D.D. Cowan, R.C. Mullin, R.G. Stanton, Trivalent Generalised Moore Networks on 16 Nodes, Utilitas Math. 6 (1974).

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  6. V.G. Cerf, D.D. Cowan, R.C. Mullin, R.G. Stanton, A Lower Bound on the Average Shortest Path Length in Regular Graphs, Networks, Vol. 4, No. 4 (1974), John Wiley & Sons, 335–342.

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  7. V.G. Cerf, D.D. Cowan, R.C. Mullin, R.G. Stanton, Some Extremal Graphs, Ars Combinatoria 1 (1976), 119–157.

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  8. B.D. McKay, Computing Automorphisms and Canonical Labelling of Graphs, to appear, Proc. International Conference on Combinatorics (Canberra, 19777).

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Authors

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A. F. Horadam W. D. Wallis

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© 1979 Springer-Verlag

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McKay, B.D., Stanton, R.G. (1979). The current status of the generalised moore graph problem. In: Horadam, A.F., Wallis, W.D. (eds) Combinatorial Mathematics VI. Lecture Notes in Mathematics, vol 748. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0102681

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  • DOI: https://doi.org/10.1007/BFb0102681

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  • Print ISBN: 978-3-540-09555-2

  • Online ISBN: 978-3-540-34857-3

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