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Quiz 4

A visually appealing illustration of a graph with nodes and edges, highlighting concepts related to graph theory and algorithms, with a modern and educational design.

Graph Theory Challenge: Test Your Knowledge!

Welcome to the Graph Theory Challenge, where you can assess your understanding of important concepts in graph theory, including the Bellman-Ford algorithm, shortest paths, and negative cycles.

Prepare yourself with the following:

11 engaging and thought-provoking questions
Multiple choice answers to test your comprehension
Immediate feedback on your selected answers

11 Questions3 MinutesCreated by SolvingScribe42

Eneter your full registration number

If a simple path has total number of edges less than P, the means:

Cycle exists

Cycle does not exist

It is a tree

If a negative cycle exists in a graph, traversing will stuck when we will reach p-long edge path.

True

False

In a graph, if 4 edge long shortest path has value 15 and,if 6 edge long shortest path has value 10,it implies

Graph has negative weights

Negative cycle exists

4-edge path is shortest

Using Bellman Ford Algorithm ,finding the change in value of shortest path to discover the negative cycle, we cant stop until there is no change in value from 1-edge path to 2-edge path

True

False

If graph has 5 number of vertices in total, when the super vertex will be added for using Bellman Ford algo to find negative cycle, total number of new edges added will be

In bellMan Ford Algorithm, the middle loop runs for

All the vertices of Graph

Vertices at 2-edge distance

Vertices in shortest path

BellMan ford for shortest path is carried out on a Graph having a positive cycle with 6 number of vertices, the value of 5-edge shortest path is 9, the value of 6-edge shoretst path will be?

Lesser than 9

Also 9

Not possible to run the loop 6 times

BellMan Ford for all pair shortest path should run for log(p) times because:

To discover negative cycles

It jumps from 2-edge path to 4-edge path

To avoid negative weights

Which algorithm's for loop includes intermediate verices

BellMan Ford

Floyd Warshall

Slow all pair shortest path

The time complexity for slow all pair shortest path for a graph with 5 vertices is

625

250

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