Structural properties of graphs of diameter 2 with maximal repeats |
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| Authors: | Minh Hoang Nguyen |
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| Institution: | a School of Electrical Engineering and Computer Science, The University of Newcastle, NSW 2308, Australia
b School of Information Technology and Mathematical Sciences, University of Ballarat, P.O.Box 663, Vic. 3353, Australia |
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| Abstract: | It was shown using eigenvalue analysis by Erdös et al. that with the exception of C4, there are no graphs of diameter 2, of maximum degree d and of order d2, that is, one less than the Moore bound. These graphs belong to a class of regular graphs of diameter 2, and having certain interesting structural properties, which will be proved in this paper. |
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| Keywords: | Repeats Moore bound Neighbourhood theorem |
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