Solution-What is the running time of shortest-path algorithm

What is the running time of shortest-path algorithm

Assignment Help Data Structure & Algorithms

Reference no: EM131666936

Question: A directed graph is strongly connected if there is a path from every vertex to every other vertex. Do the following.

a. Pick any vertex S. Show that, if the graph is strongly connected, a shortest-path algorithm will declare that all nodes are reachable from S.

b. Show that, if the graph is strongly connected and then the directions of all edges are reversed and a shortest-path algorithm is run from S, all nodes will be reachable from S.

c. Show that the tests in parts (a) and (b) are sufficient to decide whether a graph is strongly connected (i.e., a graph that passes both tests must be strongly connected).

d. Write a program that checks whether a graph is strongly connected. What is the running time of your algorithm?

Reference no: EM131666936

Questions Cloud

Problems discovery oriented or strategy oriented : Are the following decision problems discovery oriented or strategy oriented?

Solve the problem to traverse the maze : The input is a two-dimensional maze with walls, and the problem is to traverse the maze, using the shortest route, from the upper left-hand corner to the lower.

Create a powerpoint on socioabutobiography : Create a PowerPoint which highlights the personal experiences shared in the Socioabutobiography

Definition of business process reengineering in the context : Evaluate the definition of business process reengineering in the context of its “wisdom”

What is the running time of shortest-path algorithm : Pick any vertex S. Show that, if the graph is strongly connected, a shortest-path algorithm will declare that all nodes are reachable from S.

What advantages does a cio bring to a business : What advantages does a CIO bring to a business? What are the trade-offs between cost, quality, and time when designing a project plan?

Describe and compare multiple data management strategies : Assignment - XML Overview. Describe and compare multiple data management strategies including XML, NoSQL, and Hadoop

Expand your skills critique the professionals celebrities : Expand Your Skills Critique the Professionals Celebrities can learn from successful businesses when it com to managing their careers,

Distinguishing between anorexia nervosa and bulimia nervosa : Review the research findings on societal and familial factors which can contribute to the manifestation and maintenance of these disorders.

User Account

All Pages

What is the running time of shortest-path algorithm

Reference no: EM131666936

Reference no: EM131666936

Questions Cloud

Reviews

Write a Review

Data Structure & Algorithms Questions & Answers

Implement an open hash table

Use a search tree to find the solution

How to access virtualised applications through unicore

Recursive tree algorithms

Determine the mean salary as well as the number of salaries

Currency conversion development

Cloud computing assignment

Design a gui and implement tic tac toe game in java

Recursive implementation of euclids algorithm

Data structures for a single algorithm

Write the selection sort algorithm

Design of sample and hold amplifiers for 100 msps by using n

Assured A++ Grade

Academics

Major Subjects

Majors

Get In Touch

TERMS & POLICIES

HELP & SUPPORT