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

Solve step by step, Use an appropriate infinite series method about x = 0 t...

Use an appropriate infinite series method about x = 0 to find two solutions of the given differential equation: y''''-xy''-y=0

Riddles, I am a number yell my identity subtract 20 from me and add 30 make...

I am a number yell my identity subtract 20 from me and add 30 make the total twice to reach century you still need eight

Problem word solving, Mrs. Jones and Mr. Graham had the same amount of mone...

Mrs. Jones and Mr. Graham had the same amount of money at first. After Mrs. Jones bought a computer that cost $2,055, she had 1/4 as much money as Mr. Graham. How much money di

Distinct roots, There actually isn't a whole lot to do throughout this case...

There actually isn't a whole lot to do throughout this case.  We'll find two solutions which will form a basic set of solutions and therefore our general solution will be as,

How to calculate probability of event, Q. How to calculate Probability of e...

Q. How to calculate Probability of event? Ans. What chance do I have to toss the coin and get a head? You might think 50-50, 50%. What about tossing it 5 times and getting

How to add mixed numbers, Q. How to Add Mixed Numbers? Ans. If you...

Q. How to Add Mixed Numbers? Ans. If you have to add mixed numbers, you might try this method first: First rewrite the mixed number as a whole number plus a fracti

Circles, assignment on theorems on circle for class 9

assignment on theorems on circle for class 9

What is the probability in which the marble chosen is blue, A bag holds 3 r...

A bag holds 3 red, 6 blue, 5 purple, and 2 orange marbles. One marble is selected at random. What is the probability in which the marble chosen is blue? The probability of blue

What is the sample space for this experiment, A die is thrown repeatedly un...

A die is thrown repeatedly until a six comes up. What is the sample space for this experiment? HINT ;A= {6} B={1,2,3,4,5,} Ans: The sample space is = {A, BA, BBA, BBBA, BBBBA.

Example of subtraction of fractions, Example of Subtraction of Fractions: ...

Example of Subtraction of Fractions: 1/3 + 1/6 + 1/8 = ____ Using trial & error we could search that 24 is the LCD or smallest number in which 3, 6, and 8 will all divide w

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