id: 01924771 dt: j an: 01924771 au: Kawarabayashi, Ken-ichi; Plummer, Michael D.; Saito, Akira ti: On two equimatchable graph classes. so: Discrete Math. 266, No.1-3, 263-274 (2003). py: 2003 pu: Elsevier Science B.V. (North-Holland), Amsterdam la: EN cc: ut: connected planar graphs ci: li: doi:10.1016/S0012-365X(02)00813-0 ab: In this paper, equimatchability in several well-known families of graphs in studied. In particular, equimatchable cubic graphs and the equimatchable 3-connected planar (3-polytopal) graphs are determined. The authors have used extensively the Gallai-Edmonds decomposition theory for graphs in terms of their maximum matchings to obtain these results. It is shown that there are precisely 23 3-connected planar graphs which are equimatchable and that there are only 2 cubic equimatchable graphs. rv: Bal Kishan Dass (Delhi)