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1. A graph is k-colorable if each vertex can be given one of k colors, and no edge connects identically colored vertices. Give a linear-time algorithm to test a graph for two-colorability. Assume graphs are stored in adjacency-list format; you must specify any additional data structures that are needed.
2. Give a polynomial-time algorithm that ?nds rV/21 vertices that collectively cover at least three-fourths (3/4) of the edges in an arbitrary undirected graph.
3. Show how to modify the topological sort algorithm so that if the graph is not acyclic, the algorithm will print out some cycle. You may not use depth-?rst search.
4. Let G be a directed graph with N vertices. A vertex s is called a sink if, for every v in V such that s /=v, there is an edge (v, s), and there are no edges of the form (s, v). Give an O(N) algorithm to determine whether or not G has a sink, assuming that G is given by its n × n adjacency matrix.
digital forensics methodology
Given a line segment with endpoints (2. 5) and (9, 15), provide the equation for that line segment using a parameterized representation.
1.Write a short code fragment to add the even numbers from 1 to 10 using an 8086 processor and the instructions given in the lecture. 2.Search the web for the programming model for a Zilog Z80 microprocessor and compare it with the programming m..
Create a Visual Logic flowchart that parallels this pseudocode.
To understand the value of recursion in a programming language write a program that implements binary search first using recursion and without recursion.
Write an M-file that defines a row vector of 50 elements with all ones. Add a code that replaces every element that is in an even place (for example the 2nd, 4th, 6th,...) with the number 2. Add a code that replaces every element that is in a place d..
A prestigious university has recently implemented a consolidation strategy that will require it to centralize their student records. In order to move forward, the local university will need to develop a data model that will retain student records ..
Assume that government purchases decrease by $10 billion, with other factors held constant, including the price level. Calculate the change in the level of real GDP demanded for each of the following values of the MPC. Then, calculate the change if t..
Create a work plan listing the tasks that will need to be completed to meet the system's requirements - Create a Gantt chart that is based on the details of your work plan. You may use any drawing/presentation/project management tool with which you ..
Discuss when a program might use both the base class and the derived class and why
Did you explain how they would deploy different software packages to different departments?
Find 1 article related to the cloud mechanisms, and to turn in the following: (1) TheURL of the article, (2) A brief summary of the article
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