Примеры использования Planar graph на Английском языке и их переводы на Русский язык
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A slightly more general result is true: if a planar graph has at most three triangles then it is 3-colorable.
It remains open whether the pathwidth of a planar graph and its dual are always within a constant factor of each other in the remaining cases.
who proved in 1975 that it was the smallest non-Hamiltonian maximal planar graph.
A planar graph is an undirected graph that can be embedded into the Euclidean plane without any crossings.
A weaker quadratic lower bound on the grid size needed for planar graph drawing was given earlier by Valiant 1981.
proved that every bipartite thrackle is a planar graph, although not drawn in a planar way.
Every planar graph with maximum degree at most four is subhamiltonian, as is every planar graph with no separating triangles.
The meshedness coefficient is used to compare the general cycle structure of a connected planar graph to two extreme relevant references.
making it a maximal planar graph.
Given a triangle-free planar graph, a 3-coloring of the graph can be found in linear time.
each of the triangular faces of the resulting planar graph is subdivided one more time.
the Dürer graph is a 3-vertex-connected simple planar graph.
A planar graph is outerplanar if
The planar separator theorem states that a similar partition can be constructed in any planar graph.
is a planar graph whose derivative is the Kuratowsky graph,
Tutte proved this result by showing that every 2-connected planar graph contains a Tutte path.
to provide an example of a 1-tough non-Hamiltonian maximal planar graph.
As a partial converse, Steinitz's theorem states that any 3-vertex-connected planar graph forms the skeleton of a convex polyhedron.
A conjecture of Fiorini and Wilson that every triangle-free planar graph, other than the claw K1,3,
However, for a planar graph(with labeled vertices