Question

Let G be a graph on 10 vertices that has no triangles. Show that Gc (G...

Let G be a graph on 10 vertices that has no triangles. Show that Gc (G complement) must have K4 subgraph

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Graph Theory, discrete math question: Let G be a graph with 100 vertices, and chromatic number...
Graph Theory, discrete math question: Let G be a graph with 100 vertices, and chromatic number 99. Prove a lower bound for the clique number of G. Any lower bound will do, but try to make it as large as you can. Please follow this hint my professor gave and show your work, Thank you!! Hint: can you prove that the clique number is at least 1? Now how about 2? Can you prove that the clique number must be...
Let G = (V,E) be a graph with n vertices and e edges. Show that the...
Let G = (V,E) be a graph with n vertices and e edges. Show that the following statements are equivalent: 1. G is a tree 2. G is connected and n = e + 1 3. G has no cycles and n = e + 1 4. If u and v are vertices in G, then there exists a unique path connecting u and v.
Show that if G is a graph with n ≥ 2 vertices then G has two...
Show that if G is a graph with n ≥ 2 vertices then G has two vertices with the same degree.
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.
Graph Theory. A simple graph G with 7 vertices and 10 edges has the following properties:...
Graph Theory. A simple graph G with 7 vertices and 10 edges has the following properties: G has six vertices of degree a and one vertex of degree b. Find a and b, and draw the graph. Show all work.
Problem B: Consider a graph G with 20 vertices, that has an Euler cycle. Prove that...
Problem B: Consider a graph G with 20 vertices, that has an Euler cycle. Prove that the complement graph (G¯) does not have an Euler cycle.
6. If a graph G has n vertices, all of which but one have odd degree,...
6. If a graph G has n vertices, all of which but one have odd degree, how many vertices of odd degree are there in G, the complement of G? 7. Showthatacompletegraphwithmedgeshas(1+8m)/2vertices.
Let n be a positive integer and G a simple graph of 4n vertices, each with...
Let n be a positive integer and G a simple graph of 4n vertices, each with degree 2n. Show that G has an Euler circuit. (Hint: Show that G is connected by assuming otherwise and look at a small connected component to derive a contradiction.)
I.15: If G is a simple graph with at least two vertices, prove that G has...
I.15: If G is a simple graph with at least two vertices, prove that G has two vertices of the same degree.    Hint: Let G have n vertices. What are possible different degree values? Different values if G is connected?
Suppose G is a simple, nonconnected graph with n vertices that is maximal with respect to...
Suppose G is a simple, nonconnected graph with n vertices that is maximal with respect to these properties. That is, if you tried to make a larger graph in which G is a subgraph, this larger graph will lose at least one of the properties (a) simple, (b) nonconnected, or (c) has n vertices. What does being maximal with respect to these properties imply about G?G? That is, what further properties must GG possess because of this assumption? In this...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT