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arxiv: 1803.11032 · v2 · pith:6UJW53LFnew · submitted 2018-03-29 · 🧮 math.CO

Some bounds on the uniquely restricted matching number

classification 🧮 math.CO
keywords matchingrestricteduniquelyboundsmaximumsizecoversdegree
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A matching in a graph is uniquely restricted if no other matching covers exactly the same set of vertices. We establish tight lower bounds on the maximum size of a uniquely restricted matching in terms of order, size, and maximum degree.

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