graph & optimal scheduling, Data Structure & Algorithms

Assignment Help:

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).)

Related Discussions:- graph & optimal scheduling

Sort list of distinct numbers in ascending order - quicksort, (1) Sort a li...

(1) Sort a list of distinct numbers in ascending order, using the following divide- and-conquer strategy (Quicksort): divide the list of numbers into two lists: one that contains a

Explain in detail about the ruby arrays, Explain in detail about the Ruby a...

Explain in detail about the Ruby arrays Ruby arrays have many interesting and powerful methods. Besides indexing operations which go well beyond those discussed above, arrays h

Explain the linked list implementation of stack, Question 1 Explain the fo...

Question 1 Explain the following? Arrays Stack Trees Question 2 Explain the Linked list implementation of stack Question 3 What is a binary tree? Expla

Perfect matching polytope ppm, Let G=(V,E) be a graph for which all nodes h...

Let G=(V,E) be a graph for which all nodes have degree 5 and where G is 5-edge is connected. a) Show that the vector x which is indexed by the edges E and for which xe = 1/5 for

Heights of 500 students `Algorithms`, Write an algorithm, using a flowchart...

Write an algorithm, using a flowchart, which inputs the heights of all 500 students and outputs the height of the tallest person and the shortest p erson in the school.

Define algorithm, What is an Algorithm? An algorithm is a sequence of u...

What is an Algorithm? An algorithm is a sequence of unambiguous instructions for solving a problem, i.e., for getting a needed output for any legitimate input in a finite amoun

Computational complexity, Generally, Computational complexity of algorithms...

Generally, Computational complexity of algorithms are referred to through space complexity (space needed for running program) and time complexity (time needed for running the progr

Graph & optimal scheduling, You are given an undirected graph G = (V, E) in...

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

Hash clash, Q. What do you understand by the term by hash clash? Explain in...

Q. What do you understand by the term by hash clash? Explain in detail any one method to resolve the hash collisions.

Compare and contrast various sorting techniques, Q. Compare and contrast va...

Q. Compare and contrast various sorting techniques or methods with respect to the memory space and the computing time.

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages