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

College Algebra, Find the center and radius of the circle whose equation is...

Find the center and radius of the circle whose equation is 3 x^2 - 8 x+ 3 y^2+ 4 y+ 2 = 0

Proportions, if oranges cost $2.40 a dozen, how much do 2 oranges cost?

if oranges cost $2.40 a dozen, how much do 2 oranges cost?

Bisection method and the newton method, 1. Write two m-files, one for the b...

1. Write two m-files, one for the bisection method and another for Newton's method. 2. Using both the Bisection method and the Newton method answer the following: Include th

Probability, You''ve decided you want a plant for your room. At the gardeni...

You''ve decided you want a plant for your room. At the gardening store, there are 444 different kinds of plants (tulip, fern, cactus, and ficus) and 444 different kinds of pots to

Determine the relative global error, Consider the differential equation giv...

Consider the differential equation give by y′ = -10(y - sin t) (a) Derive by hand exact solution that satis?es the initial condition y(0) = 1. (b) Numerically obtain the s

Area of a circle, How do you find the area of a circle given the diameter?

How do you find the area of a circle given the diameter?

Derivatives to physical systems, Derivatives to Physical Systems: A st...

Derivatives to Physical Systems: A stone is dropped into a quiet lake, & waves move within circles outward from the location of the splash at a constant velocity of 0.5 feet p

Calculate the equation, Problem1: Find the general solution on -π/2 Dy/...

Problem1: Find the general solution on -π/2 Dy/dx +(tan x)y =(sin 2 x)y 4

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