Consider the graph G with n vertices. We define a Covid-Friends set as a set of vertices none of which is connected to another vertex in the set (they are social distancing!). In other words, any subgraph of G with Covid-Friends vertices has no edge. Clearly, an empty set or a set with a single vertex is a Covid-Friend vertex. However, given a graph, we want to find a such set with maximum number of vertices. (a) works - it may not even give the optimal solution!). Justify why your algorithm makes sense (in terms of the goal: maximizing the Covid-Friend set solution). Design (explain in words) a greedy algorithm for this problem (no need to prove it

Consider the graph G with n vertices. We define a Covid-Friends set as a set of vertices none of which is connected to another vertex in the set (they are social distancing!). In other words, any subgraph of G with Covid-Friends vertices has no edge. Clearly, an empty set or a set with a single vertex is a Covid-Friend vertex. However, given a graph, we want to find a such set with maximum number of vertices. (a) works - it may not even give the optimal solution!). Justify why your algorithm makes sense (in terms of the goal: maximizing the Covid-Friend set solution). Design (explain in words) a greedy algorithm for this problem (no need to prove it

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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Question

Consider the graph G with n vertices. We define a Covid-Friends set as a set of vertices none of which
is connected to another vertex in the set (they are social distancing!). In other words, any subgraph
of G with Covid-Friends vertices has no edge. Clearly, an empty set or a set with a single vertex is a
Covid-Friend vertex. However, given a graph, we want to find a such set with maximum number of
vertices.
(a)
works - it may not even give the optimal solution!). Justify why your algorithm makes sense (in
terms of the goal: maximizing the Covid-Friend set solution).
Design (explain in words) a greedy algorithm for this problem (no need to prove it

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