Question

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.
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
Prove that if G is a connected graph with exactly 4 vertices of odd degree, there...
Prove that if G is a connected graph with exactly 4 vertices of odd degree, there exist two trails in G such that each edge is in exactly one trail. Find a graph with 4 vertices of odd degree that’s not connected for which this isn’t true.
Question 38 A simple connected graph with 7 vertices has 3 vertices of degree 1, 3...
Question 38 A simple connected graph with 7 vertices has 3 vertices of degree 1, 3 vertices of degree 2 and 1 vertex of degree 3. How many edges does the graph have? Question 29 Use two of the following sets for each part below. Let X = {a, b, c}, Y = {1, 2, 3, 4} and Z = {s, t}. a) Using ordered pairs define a function that is one-to-one but not onto. b) Using ordered pairs define...
Supposed G is a graph, possibly not connected and u is a vertex of odd degree....
Supposed G is a graph, possibly not connected and u is a vertex of odd degree. Show that there is a path from u to another vertex v 6= u which also has odd degree.(hint: since u has odd degree it has paths to some other vertices. Just consider those.)
Let G be a simple graph in which all vertices have degree four. Prove that it...
Let G be a simple graph in which all vertices have degree four. Prove that it is possible to color the edges of G orange or blue so that each vertex is adjacent to two orange edges and two blue edges. Hint: The graph G has a closed Eulerian walk. Walk along it and color the edges alternately orange and blue.
Supposed G is a graph, possibly not connected and u is a vertex of odd degree....
Supposed G is a graph, possibly not connected and u is a vertex of odd degree. Show that there is a path from u to another vertex v does not equal u which also has odd degree.(hint: since u has odd degree it has paths to some other vertices. Just consider those.)
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.
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.
Let G be a graph in which there is a cycle C odd length that has...
Let G be a graph in which there is a cycle C odd length that has vertices on all of the other odd cycles. Prove that the chromatic number of G is less than or equal to 5.
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