A note on matchings and spanning trees with bounded degrees
Let \(G\) be a \(k\)-connected graph with independence number \(\alpha\) and let \(G\) contain a perfect matching. If \(\alpha\leq 1+ {3\over 2}k\), the matching can be extended to a spanning tree of \(G\) with maximum degree at most three.
scientific article; zbMATH DE number 1029266
scientific article