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Suppose that a connected planar graph has 30 edges. If a planar representation of this graph divides the plane into 20 regions, how many vertices does this graph have? | Numerade

Suppose that a connected planar graph has 30 edges. If a planar representation of this graph divides the plane into 20 regions, how many vertices does this graph have? | Numerade

2021年6月29日

Unit-IIIQ. 4(a) If G is a simple connected planar graph with n... | Filo

Unit-IIIQ. 4(a) If G is a simple connected planar graph with n... | Filo

10 个月之前

In Exercises 2–4 draw the given planar graph without any crossings. | Numerade

In Exercises 2–4 draw the given planar graph without any crossings. | Numerade

2020年8月22日

SOLVED:In Exercises 2–4 draw the given planar graph without any crossings.

SOLVED:In Exercises 2–4 draw the given planar graph without any crossings.

2020年8月22日

Explain why it is not possible to draw a planar graph that contains three faces and has the same number of vertices as edges. | Numerade

Explain why it is not possible to draw a planar graph that contains three faces and has the same number of vertices as edges. | Numerade

Prove that every connected planar graph with less than 12 vertices has vertex of degree at most 4.

Prove that every connected planar graph with less than 12 vertices has vertex of degree at most 4.

已浏览 3 次2022年2月7日

Prove that any planar graph must have a vertex of degree 5 or less. | Numerade

Prove that any planar graph must have a vertex of degree 5 or less. | Numerade

2021年4月26日

Suppose that a connected planar graph has eight vertices, each of degree three. Into how many regions is the plane divided by a planar representation of this graph? | Numerade

2021年6月29日

Give an example of (i) a non-planar graph that is not homeomorphic to K5 or K3,3; (ii) a non-planar graph that is not contractible to K5 or K3,3. Why does the existence of these graphs not contradict Theorems 4.2 and 4.3 ? | Numerade

2021年10月22日

PPT - Graph Theory Chapter 9 Planar Graphs PowerPoint Presentation, free download - ID:5659854

已浏览 9 次2014年10月28日

A planar graph G is outerplanar if G can be drawn in the plane so that all of its vertices lie on the exterior boundary. (i) Show that K4 and K2,3 are not outerplanar. (ii) Deduce that, if G is an outerplanar graph, then G contains no subgraph homeomorphic or contractible to K4 or K23. (The converse result also holds, yielding a Kuratowski-type criterion for a graph to be outerplanar.) | Numerade

2021年10月22日

Triplanar Texture Rotation Wrong?

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