Graph Coloring, continued (b) Find the chromatic number of the cubical graph (shown below). Be sure to prove that your answer is correct and explain all of your reasoning along the way.

Discreate math graphs.

Stuck need help! The class I'm taking is computer science discrete structures.  Problem is attached. please view attachment before answering.  Really struggling with this concept. Thank you so much.

Graph Theory, please I need answers from questions D to F. Thank you

Submit solutions to the following problems in a single pdf document preferably completed using LaTeX. It is likely that you will need to use programming (Python) or a matrix calculator to solve most of the problems. You do not need to submit the code, but you should include explanations of all your conclusions. 3. Consider the cat polygon with vertices at (0, 0), (3, 3), (3, 6), (2, 7), (1, 6), (-1, 6), (-2, 7), (-3, 6), and (-3, 3). a. Write a single matrix that will make the cat's face twice as tall, half as wide, and rotate anti- clockwise 45 degrees. What is the determinant of the transformation matrix? b. Calculate the area of the cat's face prior to transformation and after the transformation. How does the change in area relate to the determinant of the transformation matrix?

a) For the first image (pentagon graph) can you show how the graphs are isomorphic aand also label the verticies b) For the second image (square graph) can you explain why the graphs are no isomorphic

Discrete math Draw 2 isomorphic graphs with graph order of degree 3 which has 8 vertices.

Problem 2. The two problems below can be solved using graph coloring. For each problem, represent the situation with a graph, say whether you should be coloring vertices or edges and why, and use the coloring to solve the problem. a. Your Quidditch league has 5 teams. You will play a tournament next week in which every team will play every other team once. Each team can play at most one match each day, but there is plenty of time in the day for multiple matches. What is the fewest number of days over which the tournament can take place? b. Ten members of Math Club are driving to a math conference in a neighboring state. However, some of these students have dated in the past, and things are still a little awkward. Each student lists which other students they refuse to share a car with; these conflicts are recorded in the table below. What is the fewest number of cars the club needs to make the trip? Do not worry about running out of seats, just avoid the conflicts. Student: A B C D E F…