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.
@article{hal-00005627,
author = {De Fraysseix, Hubert and Ossona De Mendez, Patrice},
title = {Connectivity of planar graphs},
journal = {HAL},
volume = {2001},
number = {0},
year = {2001},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00005627}
}
De Fraysseix, Hubert; Ossona De Mendez, Patrice. Connectivity of planar graphs. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00005627/