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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

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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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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