Geodetic blocks of diameter three


It is shown that geodetic blocks of diameter 3 are self-centred and upper and lower geodetic critical and also lower diameter critical. Geodetic blocks of diameter 3 which are isomorphic toK (2) n are characterised.

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The second author is on leave from the A. M. Jain College, Madras and acknowledges the financial support of the U. G. C. Teacher Fellowship for this research.

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Parthasarathy, K.R., Srinivasan, N. Geodetic blocks of diameter three. Combinatorica 4, 197–206 (1984).

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AMS subject classification (1980)

  • 05 C 38
  • 57 M 15