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Results tagged with planar-graphs
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user 37432
graphs that can be embedded into the plane, i.e. that can be drawn without crossings between the lines representing edges.
10
votes
A conjecture on planar graphs
This is just an elaboration on Brendan McKay's beautiful answer, but too long for a comment. The crucial idea is to simplify the problem by generalising it, introducing a maximisation on the indices o …
- 1,169
10
votes
Accepted
Do planar graphs have an acyclic two-coloring?
G. Chartrand, H.V. Kronk, C.E. Wall showed in "The point-arboricity of a graph" (Israel J. Math., 6 (1968), pp. 169–175) that the vertex-set of any planar graph can be partitioned into three induced f …
- 1,169