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arxiv: 0705.3457 · v1 · submitted 2007-05-23 · 🧮 math.CO

The spectral radius of subgraphs of regular graphs

classification 🧮 math.CO
keywords regularbounddiametergivegivengraphsorderradius
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We give a bound on the spectral radius of subgraphs of regular graphs with given order and diameter. We give a lower bound on the smallest eigenvalue of a nonbipartite regular graph of given order and diameter.

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