Exercise 1. Describe in plain English (a short paragraph with at most 5-6 lines should be enough) n algorithm for the following task: Input: A directed graph G = (V, E), and a node u € V. Goal: Output 1 if there is a path from every v E G to u (so if u is reachable from any ther node), and output 0 otherwise. Your algorithm should have runtime O(n + m). (Hint: Use an idea that we have seen

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
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Exercise 1.
Describe in plain English (a short paragraph with at most 5-6 lines should be enough)
an algorithm for the following task:
Input: A directed graph G = (V, E), and a node u € V.
Goal: Output 1 if there is a path from every v € G to u (so if u is reachable from any
other node), and output 0 otherwise.
Your algorithm should have runtime O(n + m). (Hint: Use an idea that we have seen
for similar connectivity problems in directed graphs.)
Transcribed Image Text:Exercise 1. Describe in plain English (a short paragraph with at most 5-6 lines should be enough) an algorithm for the following task: Input: A directed graph G = (V, E), and a node u € V. Goal: Output 1 if there is a path from every v € G to u (so if u is reachable from any other node), and output 0 otherwise. Your algorithm should have runtime O(n + m). (Hint: Use an idea that we have seen for similar connectivity problems in directed graphs.)
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