Примеры использования Planar graphs на Английском языке и их переводы на Русский язык
{-}
-
Official
-
Colloquial
Any two planar graphs can have a simultaneous embedding.
In one end, there are trees, planar graphs with no cycle.
By 1967, Kasteleyn had generalized this result to all planar graphs.
The two forbidden minors for planar graphs are given by Wagner's theorem.
All other points remain P-hard, even for bipartite planar graphs.
Люди также переводят
Thus, for planar graphs, nowhere-zero flows are dual to colorings.
It ranges from 0 for trees to 1 for maximal planar graphs.
For this reason, the 3-connected planar graphs are also known as polyhedral graphs. .
The Hosoya index is P-complete to compute, even for planar graphs.
Wheel graphs are planar graphs, and as such have a unique planar embedding.
Therefore, strangulated graphs include maximal planar graphs.
They always exist for planar graphs, but not for certain other graphs. .
The meshedness coefficient ranges between 0 for trees and 1 for maximal planar graphs.
In particular, the 3-clique-sum of any list of planar graphs results in a K5-free graph. .
However, there are infinitely many 3-connected well-covered maximal planar graphs.
In 1967, Kasteleyn proved that planar graphs have an efficiently computable Pfaffian orientation.
Vizing's problem of classifying the maximum degrees that are possible for class 2 planar graphs.
For planar graphs with maximum degree Δ≥ 7, the optimal number of colors is again exactly Δ.
However, W. T. Tutte showed that all 4-connected planar graphs are hamiltonian.
They are the chordal maximal planar graphs, the chordal polyhedral graphs, and the planar 3-trees.
As polyhedral graphs, they are also 3-vertex-connected planar graphs.
However, certain other upward planar graphs may require exponential area in all of their straight-line upward planar drawings.
Counting the number of matchings, even for planar graphs, is also P-complete.
Separator decompositions can be of use in designing efficient divide andconquer algorithms for solving problems on planar graphs.
This in contrast to treewidth for which the complexity on planar graphs is a well known open problem.
In theoretical computer science, Baker's technique is a method for designing polynomial-time approximation schemes(PTASs)for problems on planar graphs.
The equivalence of planar 3-trees andchordal maximal planar graphs was stated without proof by Patil 1986.
Therefore, Apollonian networks may also be characterized as the uniquely 4-colorable planar graphs.
They are the uniquely 4-colorable planar graphs, and the planar graphs with a unique Schnyder wood decomposition into three trees.
Therefore, if F is a minor-closed graph family with bounded treewidth,it cannot include all planar graphs.