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Connectivity of Planar Graphs

Connectivity of planar graphs
Authors: de Fraysseix, Hubert; Ossona de Mendez, Patrice;

Connectivity of Planar Graphs

Abstract

We give here three simple linear time algorithms on planar graphs: a 4-connexity test for maximal planar graphs, an algorithm enumerating the triangles and a 3-connexity test. Although all these problems got already linear-time solutions, the presented algorithms are both simple and efficient. They are based on some new theoretical results.

Keywords

[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], Connectivity, graph connectiveness, Graph algorithms (graph-theoretic aspects), Graph theory (including graph drawing) in computer science, graph theory, linear-time algorithms, connectiveness, planar graphs, orientation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
gold