Improving the Bounds On Murty_Simon Conjecture

A graph is said to be diameter-\(k\)-critical if its diameter is \(k\) and removal of any of its edges increases its diameter. A beautiful conjecture by Murty and Simon, says that every diameter-2-critical graph of order \(n\) has at most \(\lfloor n^2/4\rfloor\) edges and equality holds only for \(...

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Veröffentlicht in:arXiv.org 2016-10
Hauptverfasser: Jabalameli, Afrouz, behjati, Amin, Saghafian, Morteza, Shokri, MohammadMahdi, Ferdosi, Mohsen, Bahariyan, Sorush
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Sprache:eng
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