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
Children Learn By Experiencing Things : One view about learning says that children construct knowledge by acting upon things. They pick up things, throw them, break them, join the

If  α,β are the zeros of the polynomial 2x 2 - 4x + 5 find the value of a) α 2 + β 2   b) (α - β) 2 . Ans : p (x) = 2 x 2 - 4 x + 5           (Ans: a) -1 , b) -6) α + β =

Example: Write down the equation of the line which passes through the two points (-2, 4) and (3, -5). Solution At first glance it might not appear which we'll be capable to

Draw the direction field for the subsequent differential equation. Draw the set of integral curves for this differential equation.   Solution:  y′ = y - x  To draw direct

We are until now going to suppose that there will be no external forces acting on the system, along with the exception of damping obviously. Under this case the differential equati


how will the decimal point move when 245.398 is multiplied by 10

The frequency of oscillation of an object suspended on a spring depends on the stiffness k of the spring (called the spring constant) and the mass m of the object. If the spring is

What is Zero-Day Attack? Explain Zero-Day Attack

please i need the answers to x^_7x+10 i want the vertex,axis of semetery,y intersect and the x intercept