Find the shortest paths in the digraph, Mathematics

1. a) Find the shortest paths from r to all other nodes in the digraph G=(V,E) shown below using the Bellman-Ford algorithm (as taught in class).  Please show your work, and draw the final shortest dipath tree on a copy of a diagram of the digraph.

b)  Using the potential y found in a), find a new set of costs c* for G which are non-negative, and preserve shortest dipaths.

432_Find the shortest paths in the digraph.png

Posted Date: 3/22/2013 3:54:55 AM | Location : United States







Related Discussions:- Find the shortest paths in the digraph, Assignment Help, Ask Question on Find the shortest paths in the digraph, Get Answer, Expert's Help, Find the shortest paths in the digraph Discussions

Write discussion on Find the shortest paths in the digraph
Your posts are moderated
Related Questions
Students are made to stand in rows. If one student is extra in a row there would be 2 rows less. If one student is less in a row there would be 3 rows more. Find the number of stud

a) Let V = f1, 2, :::, 7g and define R on V by xRy iff x -  y is a multiple of 3. You should know by now that R is an equivalence relation on V . Suppose that this is so. Explain t

Derivatives of Hyperbolic Functions : The last set of functions which we're going to be looking at is the hyperbolic functions.  In several physical situations combinations of e

SOLVE THE inequation 0>-5 -X AND X Belongs TO R .Represent THE SOLUTION SET ON THE NUMBER LINE

The area of a rectangle gets decreased by 8 m2, if its length  is decreased by 5 m and breadth increased by 3 m. If we enhance  the length by 3 m and breadth by 2 m, the area is en


What is a Computer? A computer is an electronic device which senses or accepts input data, performs operations or computations on the data in a pre-arranged sequence

Your friends have opened an ocean fishing operation that requires their fishing vessel to cross a channel, where the depth of the water (measured in metres) varies with time, and i

What are the Three Sides of a Right Triangle? Each side of a right triangle can be labeled opposite, adjacent, or hypotenuse, based on its relationship to the right angle and o

Given f (x) = - x 2 + 6 x -11 determine each of the following. (a)    f ( 2) (b)   f ( -10) (c)    f (t ) Solution (a)    f ( 2) = - ( 2) 2   + 6(2) -11 = -3 (