a RUTCOR, Rutgers University, New Brunswick, NJ 08903, USA
b Department of Mathematics, University of Puerto Rico, Box 23355, San Juan 00931-3355, Puerto Rico
Abstract:
In this (partly expository) paper we describe some of our recent results on graph planarity. These results concern strengthenings of Kuratowski's planarity criterion for quasi-4-connected graphs, for bipartite quasi-4-connected graphs, and for cubic bipartite graphs as well as generalizations of matroid duality of graphs and strengthenings of Whitney's planarity criterion.