Question 1: Determine, with very brief explanation, the smallest value of n that makes each of...
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1. (20 points) True or false. Justify. Every planar graph is 4-colorable /2 The number of edges in a simple graph G is bounded by n(n 1) where n is the number of vertices. The number of edges of a simple connected graph G is at least n-1 where n is the number of vertices. Two graphs are isomorphic if they have the same number of vertices and 1) the same mumber of edges
1. (20 points)...
3. (a) Let Knbe the complete bipartite graph with n vertices in each part of its bipartition, where n 21. Determine the number of perfect matchings of Kn (b) A matching M in a graph Gis ca a mazimal matching if there exists no matching M' of G such that M is a proper subset of M' Prove that, for any graph G and any edges e,f of G which are not incident with a common vertex, there exists a...
Answer each question in the space provided below. 1. Draw all non-isomorphic free trees with five vertices. You should not include two trees that are isomorphic. 2. If a tree has n vertices, what is the maximum possible number of leaves? (Your answer should be an expression depending on the variable n. 3. Find a graph with the given set of properties or explain why no such graph can exist. The graphs do not need to be trees unless explicitly...
Consider the following definite integral: In z dr- 2 ln 2-1 s 0.3862943611 1. Determine the smallest value for n so that T, is within 0.01 of In z dz. (JEri s A IE,K KIba 3 foss-In Ko.01 12n 1 (2-)S 12AM CO01 K=If"Gl=1 n2.98675 2 Sketch a dingm representing Ta. for the n you found above. The graph of y- In z is below -1 3. Compute the value of T, for the n you found above. (recall: T,-4f(zo)...
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4. Fill in the blank with "all", "no", or "some" to make the following statements true. Note that "some" means one or more instances, but not all » If your answer is "all", then give a brief explanation as to why. » If your answer is "no", then give a brief explanation as to why » If your answer is "some", then give...
Question 7 2.38 Points Solve the equation 2x+64=146. Calculate your answer to the nearest whole number. Do not put the x= in your answer. Only put the number value for your answer. Add your answer Question 8 2.38 Points Four teams will receive prize money based on their ticket sales. The total prize amount to be apportioned is $336. Determine the standard divisor based on the ticket sales. The ticket sales are: Applejacks: 54 tickets sold Broncos: 70 tickets sold...
1. (3) Determine the chromatic number of each of the two graphs below. Support your answer by showing a valid coloring, and showing that no fewer colors can be used. 2. (3) Sam has eight friends with whom he wants to have dinner before leaving town for the summer. He has limited time, so he'll try to dine with several at once. His goal is to see all of these friends in as few dinners as possible. Some of these...
c++ please
(1) Write a program that prompts the user to enter an integer value N which will rpresent the parameter to be sent to a function. Use the format below. Then write a function named CubicRoot The function will receive the parameter N and return'its cubic value. In the main program print the message: (30 Points) Enter an integer N: [. ..1 The cubic root of I.. ] is 2 update the code om part and write another function...
QUESTION 1 Ebbinghaus’ forgetting curve suggested that most forgetting occurs ________. very gradually over a period of 1 year very rapidly after 20 minutes have passed only after 24 hours have passed steadily over a period of 7 days 1 points QUESTION 2 The trichromatic theory postulates that the human eye has three types of cones that are especially sensitive to the wavelengths for _____________. blue, yellow, and red black, white, and red red, blue, and green green, blue, and...
PART II TRUE/FASE DIRECTIONS: Read each do not check the box PV array maximum collection potential. batteries to store surplus power for use at night or when periods of cloudy wea are especially appropriate for remote areas, such as national parks, cabins, and remote homes dan statement below Check thebox next to the statement if it is TRUE. If any part of the tem 1.Photovo(v) celis 2.In most locations in the U.S., a true north-facing orientation of a PV solar...