## Johnson’s algorithm for All-pairs shortest paths | Implementation

Given a weighted Directed Graph where the weights may be negative, find the shortest path between every pair of vertices in the Graph using Johnson’s… Read More »

## Number of paths from source to destination in a directed acyclic graph

Given a Directed Acyclic Graph with n vertices and m edges. The task is to find the number of different paths that exist from a… Read More »

## Algorithms | Graph Shortest Paths | Question 15

Is the following statement valid?. Given a graph where all edges have positive weights, the shortest paths produced by Dijsktra and Bellman Ford algorithm may… Read More »

## Algorithms | Graph Shortest Paths | Question 14

Is the following statement valid?. Given a weighted graph where weights of all edges are unique (no two edge have same weights), there is always… Read More »

## Algorithms | Graph Shortest Paths | Question 13

Match the following Group A Group B a) Dijkstra’s single shortest path algo p) Dynamic Programming b) Bellmen Ford’s single shortest path algo q) Backtracking… Read More »

## Algorithms | Graph Shortest Paths | Question 12

Is the following statement valid about shortest paths? Given a graph, suppose we have calculated shortest path from a source to all other vertices. If… Read More »

## Algorithms | Graph Shortest Paths | Question 11

Given a directed graph where weight of every edge is same, we can efficiently find shortest path from a given source to destination using? (A)… Read More »

## Algorithms | Graph Shortest Paths | Question 10

Which of the following algorithm can be used to efficiently calculate single source shortest paths in a Directed Acyclic Graph? (A) Dijkstra (B) Bellman-Ford (C)… Read More »

## Algorithms | Graph Shortest Paths | Question 9

Following statement is true or false? If we make following changes to Dijkstra, then it can be used to find the longest simple path, assume… Read More »

## Algorithms | Graph Shortest Paths | Question 8

In a weighted graph, assume that the shortest path from a source ‘s’ to a destination ‘t’ is correctly calculated using a shortest path algorithm.… Read More »

## Algorithms | Graph Shortest Paths | Question 7

What is the time complexity of Bellman-Ford single-source shortest path algorithm on a complete graph of n vertices? (A) (B) (C) (D) Answer: (C) Explanation:… Read More »

## Algorithms | Graph Shortest Paths | Question 14

Suppose we run Dijkstra’s single source shortest-path algorithm on the following edge weighted directed graph with vertex P as the source. In what order do… Read More »

## Algorithms | Graph Shortest Paths | Question 4

In an unweighted, undirected connected graph, the shortest path from a node S to every other node is computed most efficiently, in terms of time… Read More »

## Algorithms | Graph Shortest Paths | Question 3

Dijkstra’s single source shortest path algorithm when run from vertex a in the below graph, computes the correct shortest path distance to (A) only vertex… Read More »

## Algorithms | Graph Shortest Paths | Question 2

To implement Dijkstra’s shortest path algorithm on unweighted graphs so that it runs in linear time, the data structure to be used is: (A) Queue… Read More »