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Recall that a matching in G is a sub graph with all vertices of degree 1 and that a perfect matching is a sub graph with all vertices of degree 1 that includes all vertices of G.
(a) Find as many different perfect matchings as you can in a 6-cycle graph.
(b) Find as many different perfect matchings as you can in K4.
(c) Create a 4-regular planar graph and properly edge-color it.
(d) How does the concept of perfect matchings relate to edge coloring of k-regular graphs?
What is the approximate value of b when angle C = 106 degrees, angle B = 28 degrees and c = 36 ?
The ratio of Sarah's age to Keisha's age is 4:5 this year. Keisha was 12 years old 3 years ago. Find the ratio of Sarah's age to Keisha's age 9 years from now
Find the dimensions of a rectangle with area 1000 m2 whose perimeter is as small as possible. (Give your answers in increasing order, to the nearest meter.)
Determine the error in your above estimate, and use that value to estimate the error you'd expect for
question you are given two points on a circle. is it possible to find an equation of the circle? is it possible if you
a project is shown below. the project consists of a set of data with three independent questions. the first question
a long distance trucker traveled 176 miles in one direction during a snow storm. the return trip in rainy weather was accomplished at double the speed and took 4 hours less time. Find the speed going.
the new playground at middledale school will be enclosed by a fence the paly ground will be rectangular and will have an area of 225 yd squared the number of yd on each side will be a whole number what is the least amount of fencing that could be ..
a plane sets off from an airport and flies due east for 120 km then turns to fly due south for 70 km before landing at seddeth. what is the bearing of seddeth from the airport ?
Is this unusual to find that among 863 patients, there are 19 who experience flu symptoms in a)? Explain.
Prove that the statement "There exists a triangle with a sum of angles greater than 180 degrees" is true in spherical geometry.
Of the first 90 customers, 44 selected chicken, 23 selected roast beef, 13 select steak, and 10 selected fish. Should the manager revise his estimates? Use = 0.01.
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