On diameter 2-critical graphs
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Genghua Fan
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Article
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1987
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Elsevier Science
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English
β 296 KB
A graph is diameter 2-critical if the graph has diameter 2 and the deletion of any edge increases its diameter. We prove that if G is diameter 2-critical graph on n vertices and e edges, then (i) e ~< [14n2 ] for n <~ 24, and (ii) e < !4n2 + (n 2 -16.2 n + 56)/320 (<0.2532 n2), for n/> 25.