... operation involves being given a string X, and looking for all the
strings in S that contain X as a prefix.
12.3.1 Standard Tries
Let S be a set of s strings from alphabet σ such that no string in ...
subsequence of both X and Y. Since X and Y are character strings, we have a natural
set of indices with which to define subproblems—indices into the strings X and Y.
Let us def...
... for inserting an element at the beginning of a singly linked
list. Assume that the list does not have a sentinel header node, and instead uses
a variable head to reference the first node in ... space in memory).
Example 3.2: Much of the syntax in modern programming languages is defined
in a recursive way. For example, we can define an argument list in Java using the
followin...
... Programming
5 69
12.5.3
Applying Dynamic Programming to the LCS Problem
5 69
12.6
12.6 Exercises
573
java. datastructures.net
12.1 String Operations
Document processing is rapidly becoming ... from a pattern
matching algorithm could either be some indication that the pattern P does not exist
in T or an integer indicating the starting index in T of a substring matching P. Th...
... finding such a tree are the focus of this section.
Problem Definition
Given a weighted undirected graph G, we are interested in finding a tree T that
contains all the vertices in G and minimizes ... Rather than computing a shortest
path tree from some particular vertex v, we are interested instead in finding a (free)
tree T that contains all the vertices of G and has the minimu...
... bills and coins as possible.
Chapter Notes
For a broad overview of developments in computer science and engineering, we refer
the reader to The Computer Science and Engineering Handbook [92 ]. ...
as an instance variable, an integer, and it provides several operations for accessing
this data, including methods for converting it into other number types, for
converting it to a...
... because finding the index
of an element in a linked list requires searching through the list incrementally from
its beginning or end, counting elements as we go.
For instance, we could define a ... by their indices is called an array list
(or vector, using an older term). Since our index definition is more consistent with the
way arrays are indexed in Java and other programming l...
... nonlinear data structures in
computing—trees. Tree structures are indeed a breakthrough in data organization, for
they allow us to implement a host of algorithms much faster than when using linear ...
binary tree. This interfaces extends Position, thus inheriting method element,
and has additional methods for setting the element stored at the node
(setElement) and for se...
... form "9X9XX99X9XX 999 999 ," where a
" ;9& quot; represents a digit and an "X" represents a letter?
R -9. 5
Draw the 11-entry hash table that results from using the hash function, ... 88, 23, 94 , 11, 39, 20, 16, and 5,
assuming collisions are handled by chaining.
R -9. 6
What is the result of the previous exercise, assuming collisions are handled by
linear...
... Section 9. 5.2) using a (2,4) tree.
673
Are the rotations in Figures 10.8 and 10.10 single or double rotations?
R-10 .9
Draw the AVL tree resulting from the insertion of an entry with key 52 into ... RBTree
inherits methods size, isEmpty, find, and findAll from BinarySearchTree
but overrides methods insert and remove. It implements these two operations by
first calling the c...
... letting V
1
be the
cluster containing v and letting V
2
contain the rest of the vertices in V. This clearly
defines a disjoint partitioning of the vertices of V and, more importantly, since ... switching centers, and whose edges represent communication lines
joining pairs of centers. Edges are marked by their bandwidth, and the
bandwidth of a path is the bandwidth of its lowest...