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arxiv: 1409.3041 · v1 · pith:EX6XJ3EVnew · submitted 2014-09-10 · 🧮 math.CO

Large connected strongly regular graphs are Hamiltonian

classification 🧮 math.CO
keywords connectedregularstronglygraphshamiltonianproveapartconjectures
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We prove that every connected strongly regular graph on sufficiently many vertices is Hamiltonian. We prove this by showing that, apart from three families, connected strongly regular graphs are (highly) pseudo-random. Our results suggest a number of new questions and conjectures.

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