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Let G = (V, E) be a graph in which V = {a1, a2, · · · , an} is the set of its nodes and E ={(ai, aj )|1 ≤ i, j ≤ n}, is the set of its edges. Let di be the degree of each node ai. By induction, provethat the sum of all degrees in the graph is an even number, i.e. Pni=1 di = 2 · K where K ∈ N.a) Basis: First prove the statement for the base case - where you have a graph with only one edge.b) Induction step: Suppose that the statement is true for a graph with some m edges, and prove it willbe true if you added one more edge to the graph.
Design the Requires and the Provides interfaces of at least two (2) components that might be used in a system in an emergency control room for a call-logging component that records calls made.
Discuss how this and other information security considerations will affect the design and development process for new information systems.
Evaluate the issues and challenges associated with software engineering. Compare and contrast software development process models.
Explain the software security Touchpoints. Describe the benefits of using the software security Touchpoints
Given an organizational context, develop a plan to increase the innovative capabilities of the organization both through collaboration strategies and internal innovation.
Describe in detail the developments as well as psychological considerations in building in HCI systems and applications.
Discuss the latest implementations of routing protocols that would be used in the company's wide area network and the Internet.
Sketch the E-R diagram for each of the following situations (if you believe which you need to make extra assumptions, clearly define them for each situation).
q1 use the following method printprimes for questions a-f below.1. 2. finds and prints n prime integers4. 5. private
Propose the DFS components that you would consider implementing and configuring based on the needs of the organization. Provide a rationale for your proposal.
Construct a valid URL that is not valid with respect to your regular expression. If you have done an outstanding job in part 1, explain why your regular expression does not have any such URLs.
Make a flowchart of the program, using the pseudo code from Unit four Topic two as a guide. For your convinence you can access this pseudo-code through selecting following;
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