Question: 1. Let G be a graph with V(G) = {1,2,..., 10), such that two numbers 'v' and win V(G) are adjacent if and only if

1. Let G be a graph with V(G) = {1,2,..., 10), such that two numbers 'v' and win V(G) are adjacent if and only if | V - W S 3. Draw the graph G and determine the numbers of edges, e(G) 2. Model the following situation as graphs, draw each graphs and gives the corresponding adjacency matrix. (a) Ahmad and Bakri are friends. Ahmad is also friends with David and Chong, David, Bakri and Ehsan all friends. (Note that you may use the representation of A= Ahmad; B = Bakri; C = Chong; D= David; E=Ehsan) (b) There are 5 subjects to be scheduled in the exam week: Discrete Mathematics (DM), Programming Technique (PT), Artificial Intelligence (AI). Probability Statistic (PS) and Information System (IS). The following subjects cannot be scheduled in the same time slot:- i. DM and IS ii. DM and PT iii. AI and PS iv. IS and AI

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