Article ID Journal Published Year Pages File Type
4657540 Journal of Combinatorial Theory, Series B 2007 12 Pages PDF
Abstract

We show that the planarity of a graph can be recognized from its vertex deleted subgraphs, which answers a question posed by Bondy and Hemminger in 1979. We also state some useful counting lemmas and use them to reconstruct certain planar graphs.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics