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

a) Using Karnaugh map, show X': A'BC'D'+ ABC'D'+ A'BCD'+ ABCD'                                                                                           (b) If R is an equival

what is quantity ?

What is 124 out of 300 in percent ?

CONSTRUCTING TABLES VERSUS ROTE LEARNING :  Ask any adult how she would help a child to acquire simple multiplication facts. There is a very strong possibility that she would say,

Explain Measurement Conversions in details? The following tables show measurements of length, distance, and weight converted from one system to the other. Length and Distanc

How to find total no. of unordered pairs of disjoint subsets of a finite set? Solution) Suppose A and B are two such disjoint subsets of the set S. Then every element can go into

The geometric mean Merits i.  This makes use of all the values described except while x = 0 or negative ii.   This is the best measure for industrial increase rates

find the points on y axis whose distances from the points A(6,7) and B(4,-3) are in the ratio 1:2

The low temperature in Anchorage, Alaska today was negative four degrees. The low temperature in Los Angeles, California was sixty-three degreees. What is the difference in the two