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Let G be a simple graph with n vertices. The bandwidth of G, denoted by B(G), is the minimum, over all permutations a1, a2,...,an of the vertices of G, of max{|i - j | ai and aj are adjacent}. That is, the bandwidth is the minimum over all listings of the vertices of the maximum difference in the indices assigned to adjacent vertices. Find the bandwidths of these graphs
A linear transformation T : R2 → R2 first reflects points through the x1-axis and then reflects points through the x2- axis. Show that T can also be described as a linear transformation that rotates points about the origin. What is the angle of th..
A furniture manufacturer produces sofas, tables, and chairs. The profits per item are, respectively, $70, $120, and $80. The pieces of furniture require the following labor-hours for their manufacture.
One resident of this community has an old, working refrigerator whose food-storage compartment has the following dimensions: 44 inches from top to bottom, 24 inches from left to right, and 17 inches from front to back. Does the food-storage capaci..
Find the rate at which velocity of expelled air is changing with respect to the trachea's radius during a cough. Is the velocity of airflow increasing or decreasing when r=1/2R? Why? Show all your work.
trees occur in various venues in computer science decision trees in algorithms search trees and so on. in linguistics
Create the Value Net for your own business or a business with which you are familiar. Take special care in thinking about complementors; they are often overlooked A rule in a contract, generally one with a commodity supplier, is the take-or-pay provi..
Assign a linear programming project for this assignment according to the following specifications. It will be a problem with at least three (3) constraints and at least two (2) decision variables. The problem will be bounded and feasible. It wi..
An airplane can fly 650 miles with the wind in the same amount of time as it can fly 475 miles against the wind. If the wind speed is 40 mph, find the speed of the plane in still air.
A force of 623 lb is required to pull a boat up a ramp inclined at 22.0 degrees with the horizontal. How much does the boat weight?
A box contains 7 white balls and 3 red balls. Three balls are drawn at random. Inn how many ways can the three balls be drawn
The interest rate on a car loan has decreased 37.5% over the last 10 years and is now 8.1%. What was the rate 10 years ago?
A rectangular field whose length is 10 meters longer than its width is to be enclosed with exactly 100 meters of fencing material. What are the dimensions of the field?
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