4.1.44 Real-world graphs. Find a large weighted graph on the web—perhaps a map with distances, telephone connections with costs, or an airline rate schedule. Write a program RandomRealGraph that builds a graph by choosing V vertices at random and E edges at random from the subgraph induced by those vertices. 4.1.45 Random interval graphs. Consider a collection of V intervals on the real line (pairs of real numbers). Such a collection defines an interval graph with one vertex corresponding to each interval, with edges between vertices if the corresponding intervals intersect (have any points in common). Write a program that generates V random intervals in the unit interval, all of length d, then builds the corresponding interval graph. Hint: Use a BST.

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
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4.1.44 Real-world graphs. Find a large weighted graph on the web—perhaps a map
with distances, telephone connections with costs, or an airline rate schedule. Write a program RandomRealGraph that builds a graph by choosing V vertices at random and E edges at random from the subgraph induced by those vertices.


4.1.45 Random interval graphs. Consider a collection of V intervals on the real line
(pairs of real numbers). Such a collection defines an interval graph with one vertex corresponding to each interval, with edges between vertices if the corresponding intervals intersect (have any points in common). Write a program that generates V random intervals in the unit interval, all of length d, then builds the corresponding interval graph.
Hint: Use a BST.

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