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arxiv: 0707.4499 · v2 · submitted 2007-07-30 · 🧮 math.CO

A spectral condition for odd cycles in graphs

classification 🧮 math.CO
keywords conditioncyclesspectralexistencegivegivengraphgraphs
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We give a sharp spectral condition for the existence of odd cycles in a graph of given order. We also prove a related stability result.

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