Examples of 'planar graphs' in a sentence
Meaning of "planar graphs"
planar graphs ~ graphs that can be drawn on a plane without any edges crossing
How to use "planar graphs" in a sentence
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planar graphs
Halin graphs are special class of planar graphs.
Almost all planar graphs have an exponential number of automorphisms.
The second topic is optimization in planar graphs.
They are the maximal planar graphs with degeneracy three.
A more complicated expansion process applies to planar graphs.
Planar graphs generalize to graphs drawable on a surface of a given genus.
Such graphs are called planar graphs.
A generalization of planar graphs are graphs which can be drawn on a surface of a given genus.
To do that we are going to need another concept about planar graphs.
For bridgeless planar graphs the MWCCP can be solved in polynomial time.
The second topic is power domination in planar graphs.
Consequently, only planar graphs have duals.
Euler also made contributions to the understanding of planar graphs.
This allows drawing methods for planar graphs to be extended to non-planar graphs.
We study the bounds for the oriented coloring problem on planar graphs.
See also
Grötzsch 's theorem that triangle-free planar graphs can always be colored with at most three colors.
Another category of graphs that are very important and come up a lot are planar graphs.
He is the co-author of two books on planar graphs and graph drawing.
We show that it admits a labeling scheme with labels of logarithmic size on planar graphs.
Abstract, Planar maps are planar graphs drawn on the sphere and seen up to deformation.
Existence of Hamiltonian cycles in planar graphs.
For this reason, the 3-connected planar graphs are also known as polyhedral graphs.
The FKT algorithm has seen extensive use in holographic algorithms on planar graphs via matchgates.
A clique-sum of two planar graphs and the Wagner graph, forming a K5-free graph.
Therefore, strangulated graphs include maximal planar graphs.
However, unlike treewidth, the branchwidth of planar graphs may be computed exactly, in polynomial time.
Vizing 's problem of classifying the maximum degrees that are possible for class 2 planar graphs.
In one end, there are trees, planar graphs with no cycle.
The meshedness coefficient ranges between 0 for trees and 1 for maximal planar graphs.
In 1967, Kasteleyn proved that planar graphs have an efficiently computable Pfaffian orientation.
They characterize these graphs as being the clique-sums of chordal graphs and maximal planar graphs.
K1 through K4 are all planar graphs.
Abstract, In this thesis, we present results on three different problems concerning planar graphs.
This follows from the fact that finding Hamiltonian cycles in maximal planar graphs is NP-complete.
Therefore, Apollonian networks may also be characterized as the uniquely 4-colorable planar graphs.
It ranges from 0 for trees to 1 for maximal planar graphs.
All other points remain P-hard, even for bipartite planar graphs.
Therefore, if F is a minor-closed graph family with bounded treewidth, it can not include all planar graphs.
The Hosoya index is P-complete to compute, even for planar graphs.
As polyhedral graphs, they are also 3-vertex-connected planar graphs.
However, there are infinitely many 3-connected well-covered maximal planar graphs.
Peripheral cycles appear in the theory of polyhedral graphs, that is, 3-vertex-connected planar graphs.
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