A RANDOMIZED DATA STRUCTURE
FOR ORDERED SETS
Ion L. Bentley, F. Thomson Leighton, Margaret Lepley,
Donald F. Stanat, and I. Michael Steele
ABSTRACT
In this chapter, we consider a simple randomized data structure for
representing ordered sets, and give a p

13.7 Finding the Closest Pair of Points: A Randomized Approach
chosen, the probability of ha (x) = ha (y), taken over the final choice of aj , is
exactly 1/p. It will follow that the probability of ha (x) = ha (y) over the random
choice of the full vector

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Chapter 13 Randomized Algorithms
really identifying the asymptotically correct value of t despite our use of the
seemingly weak Union Bound.
13.2 Finding the Global Minimum Cut
Randomization naturally suggested itself in the previous example, since we

Combinatorial Implications of the Max-Flow Min-Cut Theorem
CS 510 - Design & Analysis of Algorithms
1
Network Connectivity
We refer to two directed paths from node s to node t as edge disjoint if they do not have any edge in common.
Given a directed graph

212
CHAPTER 5. DIVIDE AND CONQUER
If bj is the smaller element then
Increment Count by the number of elements remaining in A
Advance the Current pointer in the list from which the
smaller element was selected.
EndWhile
Now that one list is empty, append t

Lahore University of Management Sciences
CMPE 510: Design & Analysis of Algorithms (Spring 2013-2014)
Homework 7: Solution
1. Tramp Steamer Problem: A tramp steamer travels from port to port carrying cargo and
passengers. A voyage of the steamer from port