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On graph planarity and semi-duality
Authors:Alexander Kelmans
Affiliation:

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.
Keywords:
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