Examples of 'planar graph' in a sentence
Meaning of "planar graph"
planar graph: In mathematics, a planar graph is a type of graph that can be embedded in a plane without any of its edges crossing each other. It is used to study connections and relationships between points or vertices that can be represented in a two-dimensional space
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- A graph which can be embedded in a plane in such a way that its edges only intersect at vertices, i.e., they do not cross each other.
How to use "planar graph" in a sentence
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planar graph
Every planar graph is locally outerplanar.
The theorem also applies to any planar graph.
Every outerplanar graph is a planar graph.
We are also going to now talk about a notion of regions in a planar graph.
A planar graph and its dual.
This is a planar graph.
Every tree with only countably many vertices is a planar graph.
Every planar graph whose faces all have even length is bipartite.
It is also a planar graph.
A planar graph is outerplanar if and only if each of its biconnected components is outerplanar.
Each of these sets of forbidden minors includes at least one planar graph.
Conversely any planar graph can be formed from a map in this way.
What about coloring a graph with four colors if its a planar graph.
We can build any planar graph by iteratively adding nodes and edges.
The three utilities problem is the question of whether this graph is a planar graph.
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Means a drawing of a planar graph in which that the edges do not cross.
The intuitive idea underlying discharging is to consider the planar graph as an electrical network.
Every simple planar graph has a vertex of degree 5 or less.
The planar separator theorem states that a similar partition can be constructed in any planar graph.
The chromatic number of a planar graph is at most 4.
It has no crossings, so every polyhedral graph is also a planar graph.
In particular, every planar graph has a planar arc diagram.
The Bidiakis cube is a planar graph.
Fáry 's theorem states that any planar graph may be represented as a planar straight line graph.
Therefore, every graph with book thickness two is automatically a planar graph.
Similarly, an embedding of a rooted planar graph can be encoded as a blossom tree.
When drawn on a plane, all its faces are triangular, making it a maximal planar graph.
Theorem, which says that every planar graph can be properly colored using only four colors.
One direction of the characterisation states that every planar graph has a 2-basis.
If a planar graph is embedded on a sphere, its face cycles clearly satisfy Lefschetz 's property.
Euler's formula for the special case when the planar graph is a tree.
Let G be a finite planar graph with a Hamiltonian cycle C, with a fixed planar embedding.
The planar case can be completed if Vizing 's planar graph conjecture is true.
Every planar graph without triangle is 3-colourable.
Tutte proved this result by showing that every 2-connected planar graph contains a Tutte path.
Here 's a planar graph on five nodes.
Here 's an example of a planar graph.
Thus, a planar graph has genus 0, because it can be drawn on a sphere without self-crossing.
See also, planar graph.
An alternating knot diagram is in one-to-one correspondence with a planar graph.
They conjectured that every planar graph is acyclically 5-choosable.
As with any graph of a convex polyhedron, the Dürer graph is a 3-vertex-connected simple planar graph.
Here 's how you do it, every planar graph has a node with degree at most 6.
Start with a basic polyhedron, a 4-valent connected planar graph with no digon regions.
However, when a planar graph covers a non-planar one, the ply must be an even number.
As a partial converse, Steinitz showed that any 3-vertex-connected planar graph is a polytopal graph Steinitz theorem.
Every planar graph is 4-colourable.
The Four Color Theorem states that every planar graph is 4-colorable.
Every maximal planar graph with five or more vertices has vertex connectivity 3, 4, or 5.
For instance, adding a single vertex to an outerplanar graph ( a graph with τ 1 ) produces a planar graph.
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An entity is planar if it can lie on one plane
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