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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 are the values that X may assume?
A rectangular enclosure is to be made using an existing wall as one side, 8m of a perpendicular part of another side, and 90m of fencing.
Each month an automobile dealer makes a profit of $200 on each car that she sells if not more than 50 cars are sold. For every car above 50 that she sells her profit per car is decreased by $2. How many cars should the dealer sell monthly to maxim..
A computer interface for a Kawai digital studio piano has eight microswitches that can be set in either the "on" or "off" position. These switches must be set properly for the interface to work. In how many different ways can this group of switche..
Write an equation for the total amount of gold in the mixture. Use s to represent the amount of silver added.
consider four different stocks all of which have a required return of 18 percent and a most recent dividend of 2.80 per
Creating my grocery list and buying groceries - This task requires A LOT of quantitative reasoning. You have to estimate the amount of each item that you need for a given time. You have to make sure the total of all items fit into your budget.
Explain. Provide your classmate's with one or two solutions with which they must create a quadratic equation.
Describe the position of the source and the range of the signals.
a 3kg mass with an initial velocity of 5.00i m/s collides with a sticks to 2.00 kg mass with a initial velocity of -3.00m/s find the final velocity of the composite mass.
develop a three- to four-page analysis excluding the title and reference pages on the projected return on investment
A market survey is conducted by your state legislator to determine the proportion of homeowners who would switch to a new "electrical energy supplier" if they had the opportunity afforded them by new state legislation. Of the 1,200 homeowners surv..
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