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Chapter 17 Hashing
Chapter Objectives ,[object Object],[object Object],[object Object],[object Object]
Hashing ,[object Object],[object Object],[object Object],[object Object]
Hashing ,[object Object],[object Object]
Hashing ,[object Object],[object Object]
Hashing ,[object Object],[object Object]
FIGURE 17.1   A simple  hashing example
Hashing ,[object Object],[object Object],[object Object]
Hashing ,[object Object],[object Object],[object Object]
Hashing ,[object Object],[object Object],[object Object]
Hashing ,[object Object],[object Object],[object Object]
Hashing ,[object Object],[object Object],[object Object],[object Object],[object Object]
Hashing Functions - Extraction ,[object Object],[object Object],[object Object],[object Object]
Hashing Functions - Division ,[object Object],[object Object],[object Object],[object Object]
Hashing Functions - Folding ,[object Object],[object Object],[object Object],[object Object],[object Object]
Hashing Functions - Folding ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Hashing Functions - Mid-square ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Hashing Functions - Radix Transformation ,[object Object],[object Object],[object Object]
Hashing Functions - Digit Analysis ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Hashing Functions - Length-Dependent ,[object Object],[object Object],[object Object]
Hashing Functions in the Java Language ,[object Object],[object Object],[object Object],[object Object],[object Object]
Hashing - Resolving Collisions ,[object Object],[object Object],[object Object]
Resolving Collisions - Chaining ,[object Object],[object Object],[object Object],[object Object]
FIGURE 17.2  The chaining  method of collision handling
FIGURE 17.3  Chaining using  an overflow area
Resolving Collisions - Open Addressing ,[object Object],[object Object],[object Object],[object Object]
FIGURE 17.4  Open addressing using linear probing
Resolving Collisions - Open Addressing ,[object Object],[object Object],[object Object],[object Object]
FIGURE 17.5   Open addressing using quadratic probing
Resolving Collisons - Open Addressing ,[object Object],[object Object],[object Object],[object Object],[object Object]
FIGURE 17.6  Open addressing using double hashing
Deleting Elements from a Hash Table ,[object Object],[object Object]
Deleting Elements from a Hash Table ,[object Object],[object Object],[object Object]
Deleting Elements from a Hash Table ,[object Object],[object Object],[object Object],[object Object]
Deleting Elements from a Hash Table ,[object Object],[object Object],[object Object],[object Object],[object Object]
Deleting Elements from a Hash Table ,[object Object],[object Object],[object Object]
FIGURE 17.7  Open addressing and deletion
Hash Tables in the Java Collections API ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
TABLE 17.1  Operations  on the Hashtable class
TABLE 17.1   Operations on  the Hashtable class (cont.)
TABLE 17.2  Operations on the HashSet class
TABLE 17.3  Operations on the HashMap class
TABLE 17.4  Operations on the IdentityHashMap class
TABLE 17.5   Operations on the WeakHashMap class
TABLE 17.6   Additional operations on the LinkedHashSet class
TABLE 17.7   Additional operations on the LinkedHashMap class

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Ch17 Hashing