We investigate the maximum number of edges in a graph with a prescribed number of 1-factors. We also examine the structure of such extremal graphs. © 2012 Elsevier B.V. All rights reserved.
Dudek, A., & Schmitt, J. R. (2012). On the size and structure of graphs with a constant number of 1-factors. Discrete Mathematics, 312(10), 1807–1811. https://doi.org/10.1016/j.disc.2012.01.017