Analysis of algorithm running time - undirected graph, Mathematics

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.

Posted Date: 3/23/2013 1:43:57 AM | Location : United States







Related Discussions:- Analysis of algorithm running time - undirected graph, Assignment Help, Ask Question on Analysis of algorithm running time - undirected graph, Get Answer, Expert's Help, Analysis of algorithm running time - undirected graph Discussions

Write discussion on Analysis of algorithm running time - undirected graph
Your posts are moderated
Related Questions
Determine if the following series is convergent or divergent by using Radio Test. Solution With this first illustration let's be a little careful and ensure that we h


how many sides does a regular hexagon have?

By the method of completion of squares show that the equation 4x 2 +3x +5 = 0 has no real roots. Ans:    4 x 2 +3 x +5=0 ⇒  x 2 + 3/4 x + 5 = 0 ⇒   x 2 + 3/4 x +

1. What is the present value of a security that will pay $15,000 in 15 years if securities of equal risk pay 8.9% annually? Round your answer to the nearest cent. 475,858.20


Ask question #Minimum 100 words acceptThe top of Kevin''s dining room table is 4 feet long, and 3 feet wide. Kevin wants to cover the middle of the table with tiles. He plans to le

A speaks truth in 80% of the cases and B speaks truth in 60% of the cases.  Find out the probability of the cases of which they are possible to contradict each other in stating sim

You are going on a road trip and you buy snack packs and three different kind of beverages.  You buy 7 Cokes, 5 Pepsis and 4 Dr. Peppers.  You pull out two beverages at random.  An

A sinking ship signals to the shore for assistance. Three individuals spot the signal from shore. The ?rst individual is directly perpendicular to the sinking ship and 20 meters in