 4.4.1: For the tree in Figure 4.70:a. Which node is the root?b. Which node...
 4.4.2: For each node in the tree of Figure 4.70:a. Name the parent node.b....
 4.4.3: What is the depth of the tree in Figure 4.70?
 4.4.4: Show that in a binary tree of N nodes, there are N + 1 null links r...
 4.4.5: Show that the maximum number of nodes in a binary tree of height h ...
 4.4.6: A full node is a node with two children. Prove that the number of f...
 4.4.7: Suppose a binary tree has leaves l1, l2, ... , lM at depths d1, d2,...
 4.4.8: Give the prefix, infix, and postfix expressions corresponding to th...
 4.4.9: a. Show the result of inserting 3, 1, 4, 6, 9, 2, 5, 7 into an init...
 4.4.10: Write a program that lists all files in a directory and their sizes...
 4.4.11: Write an implementation of the TreeSet class, with associated itera...
 4.4.12: Write an implementation of the TreeMap class by storing a data memb...
 4.4.13: Write an implementation of the TreeSet class, with associated itera...
 4.4.14: Suppose you want to perform an experiment to verify the problems th...
 4.4.15: Write a program to evaluate empirically the following strategies fo...
 4.4.16: Redo the binary search tree class to implement lazy deletion. Note ...
 4.4.17: Prove that the depth of a random binary search tree (depth of the d...
 4.4.18: a. Give a precise expression for the minimum number of nodes in an ...
 4.4.19: Show the result of inserting 2, 1, 4, 5, 9, 3, 6, 7 into an initial...
 4.4.20: Keys 1, 2, ... , 2k 1 are inserted in order into an initially empty...
 4.4.21: Write the remaining procedures to implement AVL single and double r...
 4.4.22: Design a lineartime algorithm that verifies that the height inform...
 4.4.23: Write a nonrecursive method to insert into an AVL tree.
 4.4.24: Show that the deletion algorithm in Figure 4.44 is correct, and exp...
 4.4.25: a. How many bits are required per node to store the height of a nod...
 4.4.26: Write the methods to perform the double rotation without the ineffi...
 4.4.27: Show the result of accessing the keys 3, 9, 1, 5 in order in the sp...
 4.4.28: Show the result of deleting the element with key 6 in the resulting...
 4.4.29: a. Show that if all nodes in a splay tree are accessed in sequentia...
 4.4.30: Write a program to perform random operations on splay trees. Count ...
 4.4.31: Write efficient methods that take only a reference to the root of a...
 4.4.32: Design a recursive lineartime algorithm that tests whether a binar...
 4.4.33: Write a recursive method that takes a reference to the root node of...
 4.4.34: Write a method to generate an Nnode random binary search tree with...
 4.4.35: Write a method to generate the AVL tree of height h with fewest nod...
 4.4.36: Write a method to generate a perfectly balanced binary search tree ...
 4.4.37: Write a method that takes as input a binary search tree, T, and two...
 4.4.38: The larger binary trees in this chapter were generated automaticall...
 4.4.39: Write a generalpurpose treedrawing program that will convert a tr...
 4.4.40: (This exercise assumes familiarity with the Java Swing Library.) Wr...
 4.4.41: Write a routine to list out the nodes of a binary tree in levelord...
 4.4.42: a. Write a routine to perform insertion into a Btree.b. Write a ro...
 4.4.43: A Btree of order M is a Btree in which each interior node has bet...
 4.4.44: Show how the tree in Figure 4.73 is represented using a child/sibli...
 4.4.45: Write a procedure to traverse a tree stored with child/sibling links.
 4.4.46: Two binary trees are similar if they are both empty or both nonempt...
 4.4.47: Two trees, T1 and T2, are isomorphic if T1 can be transformed into ...
 4.4.48: a. Show that via AVL single rotations, any binary search tree T1 ca...
 4.4.49: Suppose we want to add the operation findKth to our repertoire. The...
 4.4.50: Since a binary search tree with N nodes has N + 1 null references, ...
 4.4.51: References 167IX: {Series (} {2}IX: {Series!geometric(} {4}IX: {E...
 4.4.52: Write a program that reads a Java source code file and outputs a li...
 4.4.53: Generate an index for a book. The input file consists of a set of i...
Solutions for Chapter 4: Trees
Full solutions for Data Structures and Algorithm Analysis in Java  3rd Edition
ISBN: 9780132576277
Solutions for Chapter 4: Trees
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Data Structures and Algorithm Analysis in Java, edition: 3. Chapter 4: Trees includes 53 full stepbystep solutions. Since 53 problems in chapter 4: Trees have been answered, more than 6814 students have viewed full stepbystep solutions from this chapter. Data Structures and Algorithm Analysis in Java was written by and is associated to the ISBN: 9780132576277.

Bar
Common term for sand and gravel deposits in a stream channel.

Column
A feature found in caves that is formed when a stalactite and stalagmite join.

Continental rift
A linear zone along which continental lithosphere stretches and pulls apart. Its creation may mark the beginning of a new ocean basin.

Divide
An imaginary line that separates the drainage of two streams; often found along a ridge.

Era
A major division on the geologic calendar; eras are divided into shorter units called periods.

Fissure eruption
An eruption in which lava is extruded from narrow fractures or cracks in the crust.

Flow
A type of movement common to masswasting processes in which watersaturated material moves downslope as a viscous fluid.

Guyot
A submerged flattopped seamount.

Hard stabilization
Any form of artificial structure built to protect a coast or to prevent the movement of sand along a beach. Examples include groins, jetties, breakwaters, and seawalls.

Hydrosphere
The water portion of our planet; one of the traditional subdivisions of Earthâ€™s physical environment.

Ionosphere
A complex zone of ionized gases that coincides with the lower portion of the thermosphere.

Lava
Magma that reaches Earthâ€™s surface.

Longshore current
A nearshore current that flows parallel to the shore.

Metamorphic rock
Rocks formed by the alteration of preexisting rock deep within Earth (but still in the solid state) by heat, pressure, and/or chemically active fluids.

Meteorology
The scientific study of the atmosphere and atmospheric phenomena; the study of weather and climate.

Nebula
A cloud of interstellar gas and/or dust.

Polar front
The stormy frontal zone separating air masses of polar origin from air masses of tropical origin.

Saturation
The maximum quantity of water vapor that the air can hold at any given temperature and pressure.

Shoreline
The line that marks the contact between land and sea. It migrates up and down as the tide rises and falls.

Soil taxonomy
A soil classification system consisting of six hierarchical categories based on observable soil characteristics. The system recognizes 12 soil orders.