Question

show that any simple, connected graph with 31 edges and 12 vertices is not planar.

show that any simple, connected graph with 31 edges and 12 vertices is not planar.

Homework Answers

Answer #1

Hello dear... I hv solved your problem... I hope u find it accordingly... If so... Then plz upvote

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
30. a) Show if G is a connected planar simple graph with v vertices and e...
30. a) Show if G is a connected planar simple graph with v vertices and e edges with v ≥ 3 then e ≤ 3v−6. b) Further show if G has no circuits of length 3 then e ≤ 2v−4.
Suppose we are going to color the vertices of a connected planar simple graph such that...
Suppose we are going to color the vertices of a connected planar simple graph such that no two adjacent vertices are with the same color. (a) Prove that if G is a connected planar simple graph, then G has a vertex of degree at most five. (b) Prove that every connected planar simple graph can be colored using six or fewer colors.
A graph is called planar if it can be drawn in the plane without any edges...
A graph is called planar if it can be drawn in the plane without any edges crossing. The Euler’s formula states that v − e + r = 2, where v,e, and r are the numbers of vertices, edges, and regions in a planar graph, respectively. For the following problems, let G be a planar simple graph with 8 vertices. Find the maximum number of edges in G. Find the maximum number of edges in G, if G has no...
Let there be planar graph G with 12 vertices where every vertices may or may not...
Let there be planar graph G with 12 vertices where every vertices may or may not be connected by an edge. The edges in G cannot intersect. What is the maximum number of edges in G. Draw an example of G. What do you notice about the faces and the maximum number of edges?
Draw an example of a connected bipartite simple graph with 9 vertices and 10 edges that...
Draw an example of a connected bipartite simple graph with 9 vertices and 10 edges that has an Euler tour.
Suppose that a connected planar graph has eight vertices each of degree 3 then how many...
Suppose that a connected planar graph has eight vertices each of degree 3 then how many regions does it have?And suppose that a polyhedron has 12 triangular faces then determine the number of edges and vertices.
Prove that every connected planar graph with less than 12 vertices can be 4-colored
Prove that every connected planar graph with less than 12 vertices can be 4-colored
Use proof by induction to prove that every connected planar graph with less than 12 vertices...
Use proof by induction to prove that every connected planar graph with less than 12 vertices has a vertex of degree at most 4.
Let G be a connected simple graph with n vertices and m edges. Prove that G...
Let G be a connected simple graph with n vertices and m edges. Prove that G contains at least m−n+ 1 different subgraphs which are polygons (=circuits). Note: Different polygons can have edges in common. For instance, a square with a diagonal edge has three different polygons (the square and two different triangles) even though every pair of polygons have at least one edge in common.
Let G be a connected planar graph with 3 or more vertices which is drawn in...
Let G be a connected planar graph with 3 or more vertices which is drawn in the plane. Let ν, ε, and f be as usual. a) Use P i fi = 2ε to show that f ≤ 2ε 3 . b) Prove that ε ≤ 3ν − 6. c) Use b) to show that K5 is not planar.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT