
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.
[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
[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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