- 8.8.1: Show the result of the following sequence of instructions: union(1,...
- 8.8.2: For each of the trees in the previous exercise, perform a find with...
- 8.8.3: Write a program to determine the effects of path compression and th...
- 8.8.4: Show that if unions are performed by height, then the depth of any ...
- 8.8.5: Suppose f(N) is a nicely defined function that reduces N to a small...
- 8.8.6: a. Show that if M = N2, then the running time of M union/find opera...
- 8.8.7: Tarjans original bound for the union/find algorithm defined(M,N) = ...
- 8.8.8: Prove that for the mazes generated by the algorithm in Section 8.7,...
- 8.8.9: Design an algorithm that generates a maze that contains no path fro...
- 8.8.10: Suppose we want to add an extra operation, deunion, which undoes th...
- 8.8.11: Suppose we want to add an extra operation, remove(x), which removes...
- 8.8.12: Show that if all of the unions precede the finds, then the disjoint...
- 8.8.13: Prove that if unions are done arbitrarily, but path compression is ...
- 8.8.14: Prove that if unions are done by size and path compression is perfo...
- 8.8.15: The disjoint sets analysis in Section 8.6 can be refined to provide...
- 8.8.16: Suppose we implement partial path compression on find(i) by making ...
- 8.8.17: Write a program that generates mazes of arbitrary size. Use Swing t...
Solutions for Chapter 8: The Disjoint Set Class
Full solutions for Data Structures and Algorithm Analysis in Java | 3rd Edition
The average of the atomic masses of isotopes for a given element.
A recording barometer.
A final state of evolution for a star, in which all of its energy sources are exhausted and it no longer emits radiation.
An amphitheater-shaped basin at the head of a glaciated valley produced by frost wedging and plucking.
The gently sloping surface at the base of the continental slope.
The transfer of heat by the movement of a mass or substance. It can take place only in fluids.
That part of the continental crust that has attained stability; that is, it has not been affected by significant tectonic activity during the Phanerozoic eon. It consists of the shield and stable platform.
Daily temperature range
The difference between the maximum and minimum temperatures for a day.
A climate in which yearly precipitation is not as great as the potential loss of water by evaporation.
The doughnut-shaped area of intense cumulonimbus development and very strong winds that surrounds the eye of a hurricane.
The hot, watery solution that escapes from a mass of magma during the later stages of crystallization. Such solutions may alter the surrounding country rock and are frequently the source of significant ore deposits.
Mudflows on the slopes of volcanoes that result when unstable layers of ash and debris become saturated and flow downslope, usually following stream channels.
The brightness of a star. The amount of energy radiated by a star.
Large center of low pressure with an associated cold front and often a warm front. Frequently accompanied by abundant precipitation.
A molecule of oxygen containing three oxygen atoms.
A system of streams running in all directions away from a central elevated structure, such as a volcano.
A flattened, rotating galaxy with pinwheel-like arms of interstellar material and young stars winding out from its nucleus.
Sediments deposited by glacial meltwater.
Radiation with a wavelength from 0.2 to 0.4 micrometer.
Urban heat island
The fact that temperatures within a city are generally higher than in surrounding rural areas.