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Problem. You are given an undirected graph G = (V,E) in which the edge weights are highly restricted.
In particular, each edge has a positive integer weight of either {1, 2, . . . ,W}, where W is a constant (independent of the number of edges or vertices). Show that it is possible to compute the single- source shortest paths in such a graph in O(n + m) time, where n = |V | and m = |E|. (Hint: Because W is a constant, a running time of O(W(n + m)) is as good as O(n + m).)
Requirement: algorithm running time needs to be in DIJKstra's running time or better.
tens digit of a 2-digit number is twice its unit digit. If the sum of the digit is 12, find the number.
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Describe Multiplication and Division Equations? Multiplication Equations : To solve multiplication equations, divide both sides of the equation by the number being multiplie
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When 6 boys were admitted & 6 girls left the percentage of boys increased from 60% to 75%. Find the original no. of boys and girls in the class. Ans: Let the no. of Boys be x
It refers to the ratio of the explained variation to the total variation and is utilized to measure the strength of the linear relationship. The stronger the linear relationship th
Example of Exponential Smoothing By using the previous example and smoothing constant 0.3 generate monthly forecasts Months Sales Forecast
a computerized payroll package and its cost,futures and the size of the business and how business mathematics is an inbuilt component of the package
Rate of Change : The first interpretation of derivative is rate of change. It was not the primary problem which we looked at in the limit chapter, however it is the most signific
A cylindrical vessel of diameter 14 cm and height 42 cm is fixed symmetrically inside a similar vessel of diameter 16 cm and height 42 cm. The total space between two vessels is fi
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