We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
this is a discrete math 2. What is the minimum number of colors needed to color...
Write the number of colors needed to color the vertices of each graph or object listed. (You should not need to draw them.) KS Any 2-dimensional map КА
Construct the dual graph for the map shown. Then, find the number of colors needed to color the map so that no two adjacent regions have the same color. 4. a) b) CCE Construct the dual graph for the map shown. Then, find the number of colors needed to color the map so that no two adjacent regions have the same color. 4. a) b) CCE
Discrete Math: Please help with all parts of question 5. I have included problem 3 to help answer part (a) but I only need help with question 5! 5. 3. (a) (4 points) Prove that a graph is bipartite if and only if there is a 2-coloring (see problem 3) of its vertices. (b) (4 points) Prove that if a graph is a tree with at least two vertices, then there is a 2-coloring of its vertices. (Hint: Here are...
3. (4 points) Let Nm(G) be the the number of ways to properly color the vertices of a graph G with m colors. Pn and Cn are the path and circuit (or cycle) Show that on n vertices, respectively. Nm(P N(C= (m - 1) (-1)"-1 (m 1)"-2) 3. (4 points) Let Nm(G) be the the number of ways to properly color the vertices of a graph G with m colors. Pn and Cn are the path and circuit (or cycle)...
discrete math 14) BMW automobiles come in 7 models, 10 colors, 3 engines sizes, and 2 transmission types. a) How many distinct BMW can be manufactured? b) If one of the available colors is black, how many different black BMW can be manufactured? c) If one engine is V-4, how many distinct black BMW have a V-4 engine?
DISCRETE STRUCTURES AND ITS APPLICATIONS. MATH (DISCRETE MATHEMATICS) (ONLY ANSWER IF YOU KNOW THE ANSWER PLEASE DON'T GUESS) PLEASE WRITE A FULL C++ PROGRAM. A PROGRAM THAT TAKES IN USER INPUT AND CAN BE DEBUGGED AND PRODUCES THE OUTPUT(DISPLAY).. (Please use comments to explain if you can) 1. WRITE A FUNCTION WHICH TAKES A DEGREE SEQUENCE AND CHECKS THAT THE SUM OF THE DEGREES IS EVEN AND ALSO THAT THERE IS AN EVEN NUMBER OF VERTICES OF ODD DEGREE. IF THE...
3. Use Kuratowski's theorem to determine whether the given graph is planar. Construct the dual graph for the map shown. Then, find the number of colors needed to color the map so that no two adjacent regions have the same color. 4. a) b) CCE 5. Show that a simple graph that has a circuit with an odd number of vertices in it cannot be colored using two colors. 3. Use Kuratowski's theorem to determine whether the given graph is...
Examine the K3,5 graph, read the Four Color Theorem, then answer the questions. Four Color Theorem: If G is planar, then G can be colored with four colors or less. (a) The vertices of K3,5 can be colored using only 2 colors by making the top set blue and the bottom set red. Does this mean that K3,s is planar? (Yes or No) (b) Write the inverse of the Four Color Theorem. (c) Is the inverse of the Four Color...
Discrete Math Question: Bob and Alice each have a bag that contains one ball of each of the colors blue, green, orange, red, and violet. Alice randomly selects one ball from her bag and puts it into Bob’s bag. Bob then randomly selects one ball from his bag and puts it into Alice’s bag. What is the probability that after this process the contents of the two bags are the same? (Hint: you can simplify your solution using ”without loss...
Translate psuedo code for computing chromatic number of a grapgh to java code 1 //graph G, vertices n, vertices are numbered o,1-- //G i //colors are stored in arrayq //qlil has color of vertex i, initially all0 s stored in adjacency list or adjacency matrix p , returns chromatic number //colors G using mininum number of colors int color () for (i 1 to n) //if G can be colored using i colors starting at vertex 0 if (color (0,...