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

Word problem time vs desent, altitude 35000 @ 9:30 9;42 alt 17500 increase...

altitude 35000 @ 9:30 9;42 alt 17500 increase speed by factor of 3 level out at 2500= how much time will it take

What is the value of x in probability , A bag contains 8 red balls and x bl...

A bag contains 8 red balls and x blue balls, the odd against drawing a blue ball are 2: 5. What is the value of x?                                                               (An

Introduction to ones tens and more, INTRODUCTION :  We are often confronte...

INTRODUCTION :  We are often confronted with children not being able to deal with H T 0, i.e. 'hundreds', 'tens' and 'ones' (or 'units'), with comfort, though they are supposed to

What is box-and-whisker plot, Q. What is Box-and-Whisker Plot? Ans. ...

Q. What is Box-and-Whisker Plot? Ans. Line graphs or stem-and-leaf plots become difficult to manage when there is a large amount of data. Box-and-whisker plots help summa

Marketing plan and its parts, can you offer help with an entry level market...

can you offer help with an entry level marketing class and with developing charts and tables for the final marketing plan?

find the ratio of their 11th terms, The  ratio of the sum of first n term...

The  ratio of the sum of first n terms of two AP's  is 7n+1:4n+27.  Find the ratio of their 11th  terms . Ans:    Let a 1 , a 2 ... and d 1 , d 2 be the I terms are Cd's of t

Eigenvalues and eigenvectors, Review: Systems of Equations - The tradition...

Review: Systems of Equations - The traditional initial point for a linear algebra class. We will utilize linear algebra techniques to solve a system of equations. Review: Matr

Mathematical concepts and ideas , These experiences should be related to th...

These experiences should be related to the mathematical concepts and ideas that we teach them. Only then will these ideas appear relevant to the children, and be absorbed by them

Application of derivatives, the base b of a triangle increases at the rate ...

the base b of a triangle increases at the rate of 2cm per second, and height h decreases at the rate of 1/2 cm per second. Find rate of change of its area when the base and height

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