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Suil O (오수일), Eigenvalues and [a, b]-factors in regular graphs
Suil O (오수일), Eigenvalues and [a, b]-factors in regular graphs
For positive integers, $r \ge 3, h \ge 1,$ and $k \ge 1$, Bollobás, Saito, and Wormald proved some sufficient conditions for an $h$-edge-connected $r$-regular graph to have a k-factor in 1985. Lu gave an upper bound for the third-largest eigenvalue in a connected $r$-regular graph to have a $k$-factor in 2010. Gu found an upper bound …