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Fundamentals of Data Structures                              Sarabjit Kumar, Lovely Professional University




                    Notes                                    Unit 14: Searching


                                     CONTENTS
                                     Objectives

                                     Introduction
                                     14.1 Linear Search
                                          14.1.1  Characteristics

                                          14.1.2  A Function to Implement Linear Search
                                          14.1.3  Sequential Search on Linked Lists
                                     14.2 Binary Search

                                          14.2.1  Characteristics
                                          14.2.2  Analysis
                                     14.3 Summary

                                     14.4 Keywords
                                     14.5 Review Questions
                                     14.6 Further Readings

                                   Objectives


                                   After studying this unit, you will be able to:
                                       Discuss the concept of Linear Search
                                       Define the Binary Search

                                       Describe the characteristics of Linear Search and Binary Search
                                   Introduction


                                   Searching is the process of determining whether or not a given value exists in a data structure or
                                   a storage media. Searching is an important function in computer science. Many advanced
                                   algorithms and data structures have been devised for the sole purpose of making searches more
                                   efficient. And as the data sets become larger and larger, good search algorithms will become
                                   more important. At one point in the history of computing, sequential search was sufficient. But
                                   that quickly changed as the value of computers became apparent. Linear search has many
                                   interesting properties in its own right, but is also a basis for all other search algorithms. Learning
                                   how it works is critical. Binary search is the next logical step in searching. By dividing the
                                   working data set in half with each comparison, logarithmic performance, O (log n), is achieved.
                                   That performance can be improved significantly when the data set is very large by using
                                   interpolation search, and improved yet again by using binary search when the data set gets
                                   smaller.









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