Computer Science  >  QUESTIONS & ANSWERS  >  University of North Carolina, Pembroke - CSC 2150csc2150 hmw6 Solutions 2020 ALL 100% CORRECT (All)

University of North Carolina, Pembroke - CSC 2150csc2150 hmw6 Solutions 2020 ALL 100% CORRECT

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CSC 2150 Fall 2020 Homework 6 Due: Tuesday, September 29th, 2020 Name: Solutions 1. (8p) (a) Draw the complete bipartite graph K3, 4. Label its vertices 1, 2, 3, …, n and list the edges in lexi ... cographic order. 1 2 3 4 5 6 7 List of edges in lexicographic order: {1, 4}, {1, 5}, {1, 6}, {1, 7}, {2, 4}, {2, 5}, {2, 6}, {2, 7}, {3, 4}, {3, 5}, {3, 6}, {3, 7}, (b) Use the labeling of the vertices (a) to write the adjacency matrix of the graph K3, 4. 1 2 3 4 5 6 7 1 0 0 0 1 1 1 1 2 0 0 0 1 1 1 1 3 0 0 0 1 1 1 1 4 1 1 1 0 0 0 0 5 1 1 1 0 0 0 0 6 1 1 1 0 0 0 0 7 1 1 1 0 0 0 0 2. (8p) (a) Draw the 3-cube. Label its vertices 1, 2, 3, …, n and list the edges in lexicographic order. 1 2 3 4 5 6 7 8 List of edges in lexicographic order: {1, 2}, {1, 3}, {1, 4}, {2, 5}, {2, 6}, {3, 5}, {3, 7}, {4, 6}, {4, 7}, {5, 8}, {6, 8}, {7, 8}, (b) Use the labeling of the vertices from (a) to write the adjacency matrix of 3-cube. 1 2 3 4 5 6 7 8 1 0 1 1 1 0 0 0 0 2 1 0 0 0 1 1 0 0 3 1 0 0 0 1 0 1 0 4 1 0 0 0 0 1 1 0 5 0 1 1 0 0 0 0 1 6 0 1 0 1 0 0 0 1 7 0 0 1 1 0 0 0 1 8 0 0 0 0 1 1 1 0 [Show More]

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