Analysis of algorithm running time - undirected graph, Mathematics

Assignment Help:

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.


Related Discussions:- Analysis of algorithm running time - undirected graph

Determine the area of the sail, If a triangular sail has a horizontal lengt...

If a triangular sail has a horizontal length of 30 ft and a vertical height of 83 ft , Determine the area of the sail? a. 1,245 ft 2 b. 1,155 ft 2 c. 201 ft 2 d. 2,4

Solid geomerty, find the equation to the sphere through the circle xsqaure+...

find the equation to the sphere through the circle xsqaure+ysquare+zsquare+=9 , 2x+3y+4z=5

What are factors, What are Factors? When you multiply several numbers t...

What are Factors? When you multiply several numbers together, (4 x 5 x 3), the numbers (4, 5, and 3) being multiplied are called factors. The result of the multiplying th

Solving an equation problems, Temperature: On one day in Fairfield, Montana...

Temperature: On one day in Fairfield, Montana the temperature dropped 80 degree fahrenheit from noon to midnight. If the temperature at midnight was -21 degree fahrenheit, write an

Integers, hi i would like to ask you what is the answer for [-9]=[=5] grade...

hi i would like to ask you what is the answer for [-9]=[=5] grade 7

What is the square root of -i, To find sq root by the simple step... root (...

To find sq root by the simple step... root (-i)=a+ib............... and arg of -i= -pi/2 or 5pi/2

Applied mathematics, I have a journal article in applied mathematics and wa...

I have a journal article in applied mathematics and want to analyze the solutions step by step. Is there anyone specialize in this file?

The alternative hypothesis, The alternative hypothesis When formulatin...

The alternative hypothesis When formulating a null hypothesis we also consider the fact that the belief may be found to be untrue thus we will refuse it.  Therefore we formula

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd