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arxiv: 0903.5353 · v1 · submitted 2009-03-31 · 🧮 math.CO

Spectral radius and Hamiltonicity of graphs

classification 🧮 math.CO
keywords hamiltonicityadjacencycomplementconditionseigenvaluegivegivengraph
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Let G be a graph of given order and mu(G) be the largest eigenvalue of its adjacency matrix. We give conditions on mu(G) that imply Hamiltonicity of G and of its complement.

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