Planarity Certificates

 Title: Planarity Certificates Author: Lars Noschinski Submission date: 2015-11-11 Abstract: This development provides a formalization of planarity based on combinatorial maps and proves that Kuratowski's theorem implies combinatorial planarity. Moreover, it contains verified implementations of programs checking certificates for planarity (i.e., a combinatorial map) or non-planarity (i.e., a Kuratowski subgraph). BibTeX: @article{Planarity_Certificates-AFP, author = {Lars Noschinski}, title = {Planarity Certificates}, journal = {Archive of Formal Proofs}, month = nov, year = 2015, note = {\url{https://isa-afp.org/entries/Planarity_Certificates.html}, Formal proof development}, ISSN = {2150-914x}, } License: BSD License Depends on: Case_Labeling, Graph_Theory, List-Index, Simpl, Transitive-Closure Status: [ok] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.