r a vertex v, G[v] = [u such that there is an edge going from v to u]. In the case that G is undirected, for every edge u − v, v is in G[u] and u is in G[v]. 3. Write the full pseudocode for the following problem. Input: A directed graph G, and a

r a vertex v, G[v] = [u such that there is an edge going from v to u]. In the case that G is undirected, for every edge u − v, v is in G[u] and u is in G[v]. 3. Write the full pseudocode for the following problem. Input: A directed graph G, and a

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter18: Stacks And Queues

Section: Chapter Questions

Problem 16PE: The implementation of a queue in an array, as given in this chapter, uses the variable count to...

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Concept explainers

Polynomial Time

The problems for which the deterministic polynomial-time algorithm exists belong to the complexity class (p) and it is central in the field of computational complexity theory. According to Cobham’s thesis, polynomial time is a synonym for “feasible”, “fast”, and “efficient”.

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Throughout, a graph is given as input as an adjacency list. That is, G is a dictionary where the keys
are vertices, and for a vertex v,
G[v] = [u such that there is an edge going from v to u].
In the case that G is undirected, for every edge u − v, v is in G[u] and u is in G[v].

3. Write the full pseudocode for the following problem.
Input: A directed graph G, and an ordering on the vertices given in a list A.
Output: Is A a topological order? In other words, is there an i, j such that i < j and there is an edge from
A[j] to A[i]?

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