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Question: What can be said about the chromatic number of a graph that has Kn as a subgraph?
This algorithm can be used to color a simple graph: First, list the vertices v1, v2, v3,..., vn in order of decreasing degree so that deg(v1) ≥ deg(v2) ≥···≥ deg(vn). Assign color 1 to v1 and to the next vertex in the list not adjacent to v1 (if one exists), and successively to each vertex in the list not adjacent to a vertex already assigned color 1. Then assign color 2 to the first vertex in the list not already colored. Successively assign color 2 to vertices in the list that have not already been colored and are not adjacent to vertices assigned color 2. If uncolored vertices remain, assign color 3 to the first vertex in the list not yet colored, and use color 3 to successively color those vertices not already colored and not adjacent to vertices assigned color 3. Continue this process until all vertices are colored.
Assuming running consumes 99 calories per mile. If you run 8-min miles. What is your average power output, in watts, during a 1 hour run?
A merchant has coffee with $20 a pound that she wishes to mix with 70 pounds of coffee $90 a pound to get a mixture that is worth $30 a pound. How many pounds (lb) of the $20 coffee should be used?
The external path length of a binary tree is the sum, taken over all leaf vertices of the tree, of the depth of the vertex. Show that in a full binary tree with n internal vertices, internal path length i and external path length e, we have e = i ..
This includes the concept of courses, assessments, diagnostics, placement, delivery methods, funding models, and more. What is best for student success?
What amount of time will the salvage value be $1200 After what amount of time will the salvage value be half the original value?
F is the linear transformation that orthogonally projects each vector inR3onto the plane defined byx+2y+2z=0 a) Enter an orthonormal basis for the subspace defined by the plane. Your answer should be a list of vectors, e.g. (1,2,3),(4,5,6)?
john went to the store. he bouht a lamp for 56.56 that was on sale 20 percent then you can talk an additional 50
What was the initial size of the culture?
The sum of the infinite series, 1/2^2 - 2/3^2 + 3/4^2 - 4/5^2 + ... is given as pi^2/12 - log 2 on pages 64-65 in the book "Summation of Series" by L. B. W. Jolley, 2nd ed., 1961, Dover Pubs. Inc. (the ^ symbol denotes exponentiation in the above ..
Find the coordinates of the centroid of the region bounded by the given curve.
A dietician wishes a patient to have a meal that has 66 grams (g) of protein, 94.5 g of of carbohydrates, and 910 miligrams of (mg) of calcium. Dinner for today is chicken, corn, and milk. Each serving of chicken has 30 g of protein, 35 g of carbo..
Find the sum of the areas of the infinite sequence of squares - The sum of the areas of the infinite sequence of squares is __ m2.
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