Question

Q. a graph is called k-planar if every vertex has degree k. (a) Explain why any...

Q. a graph is called k-planar if every vertex has degree k.
(a) Explain why any k-regular graph with 11 vertices should contain an Euler’s circuit.

(what are the possible values of k).
(b) Suppose G is a 6-regular graph. Must the chromatic number of G be at leat 6? Explain.

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
a. A graph is called k-regular if every vertex has degree k. Explain why any k-regular...
a. A graph is called k-regular if every vertex has degree k. Explain why any k-regular graph with 11 vertices must conain an Euler circuit. (Hint – think of the possible values of k). b. If G is a 6-regular graph, what is the chromatic number of G? Must it be 6? Explain
a graph is regular of degree k if every vertex has the same degree, k. show...
a graph is regular of degree k if every vertex has the same degree, k. show that G has a hamiltonian circuit if G has 13 vertices and is regular of degree 6.
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...
A K-regular graph G is a graph such that deg(v) = K for all vertices v...
A K-regular graph G is a graph such that deg(v) = K for all vertices v in G. For example, c_9 is a 2-regular graph, because every vertex has degree 2. For some K greater than or equal to 2, neatly draw a simple K-regular graph that has a bridge. If it is impossible, prove why.
Suppose that a connected graph without loops or parallel edges has 11 vertices, each of degree...
Suppose that a connected graph without loops or parallel edges has 11 vertices, each of degree 6. a. Must the graph have an Euler Circuit? Explain b. Must the graph have a Hamilton Circuit? Explain c. If the graph does have an Euler Circuit, how many edges does the circuit contain? d. If the graph does have a Hamilton Circuit, what is its length?
1. For a pair of sample x- and y-values, what is the difference between the observed...
1. For a pair of sample x- and y-values, what is the difference between the observed value of y and the predicted value of y? a) An outlier b) The explanatory variable c) A residual d) The response variable 2. Which of the following statements is false: a) The correlation coefficient is unitless. b) A correlation coefficient of 0.62 suggests a stronger correlation than a correlation coefficient of -0.82. c) The correlation coefficient, r, is always between -1 and 1....
1. What is an ISP (Integrated Service Provider) for supply chains? (1 point) A. A consultant...
1. What is an ISP (Integrated Service Provider) for supply chains? (1 point) A. A consultant agency which integrates the supply chain for companies B. A 2 PL or a 3PL, but not a 4PL C. A company supplying transportation and warehousing services D. A logistics service company specialized in suppling VAS (value added services) 2. What characterizes a 4 PL? (1 point) A. They are non-asset based and provides integrated services primarily supplied by asset based providers, for example...
Total utility can be objectively measured in numbers that indicate usefulness or benefit to the consumer....
Total utility can be objectively measured in numbers that indicate usefulness or benefit to the consumer. ____ 2. Consumers should purchase quantities of a good to the point where MU > P. ____ 3. Voluntary exchange requires that there must be mutual gain. ____ 4. Points along a budget line represent the maximum combinations of two commodities that a consumer can afford. ____ 5. The budget line represents a consumer's preferences for a commodity. ____ 6. A change in consumer...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT