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arxiv: 1602.05922 · v1 · pith:6RVCGUE2new · submitted 2016-02-18 · 🧮 math.CO · cs.DM

Connectivity, toughness, spanning trees of bounded degree, and the spectrum of regular graphs

classification 🧮 math.CO cs.DM
keywords boundedconnectivitydegreeregularspanningspectrumtoughnesstrees
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In this paper, we present some new results describing connections between the spectrum of a regular graph and its generalized connectivity, toughness, and the existence of spanning trees with bounded degree.

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