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1. When a vertex and its incident edges are removed from a tree, a collection of sub- trees remains. Give a linear-time algorithm that ?nds a vertex whose removal from an N vertex tree leaves no subtree with more than N/2 vertices.
2. Give a linear-time algorithm to determine the longest unweighted path in an acyclic undirected graph (that is, a tree).
3. Consider an N-by-N grid in which some squares are occupied by black circles. Two squares belong to the same group if they share a common edge. In Figure 9.88, there is one group of four occupied squares, three groups of two occupied squares, and two individual occupied squares. Assume that the grid is represented by a two-dimensional array. Write a program that does the following:
a. Computes the size of a group when a square in the group is given.
b. Computes the number of different groups.
c. Lists all groups.
Write a program segment that initializes memory locations $0000 and $0001 with $12 and $10 using assembler directives.
Determine the minimum of f ( x ) by hand. Report the values of the optimum x and the function value at this point.
Crescent Manufacturing Inc. (CMI) is a luxury leader in crafted and customized home furnishings. The corporate headquarters and a production facility are located in Texas, with additional manufacturing facilities located in Nebraska and Maryland.
Distributed.net (www.distributed.net) is an organization that coordinates research on distributed computer applications. People and organizations can join Distributed.net and contribute idle computing power to ongoing research projects that requir..
The project assignment in this class is to find an area in database programming and/or design that interests you, and expand upon it. This may be the development of a working system of your own to provide information, or a study of an existing dat..
VERY SIMPLE PYTHON PROBLEM An evil number is a positive integer whose binary digits add up to an even number (the opposite of an evil number is an odious number, whose binary digits add up to an odd number). For example, 14 is odious:
Create a draft of a Service Level Agreement for SilverPhase LLC. Be sure to include specific references to Windows, Mac OS X and iOS support.
One of the most critical problems faced by the information technology department in virtually every organization is how to provide effective help to end-users facing problems with the technology. The help desk is the point at which every frustrati..
Compare error detection and correction facilities of interpreters and compilers. Compare static and dynamic linking. With respect to the requirements of modern applications, what are the shortcomings of 3GLs?
What is returned by function two defined below for the call two(13)? Show your trace for full marks.
Create a 'Card" class that models a single playing card.
Write one or two statements that make this variable's field's values consistent with the mathematical notion of "origin".
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