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arxiv: 1811.05314 · v1 · pith:MCDUVGTXnew · submitted 2018-11-10 · 🧮 math.CO

The largest graphs with given order and diameter: A simple proof

classification 🧮 math.CO
keywords graphsdiametergivenlargestorderproofsimplecharacterizing
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A consequence of Ore's classic theorem characterizing the maximal graphs with given order and diameter is a determination of the largest such graphs. We give a very short and simple proof of this smaller result, based on a well-known elementary observation.

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