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hw14 - 9.4 18 54 9.7 6 8 9.8 12(for graphs 5 and 9 only...

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Math 55: Discrete Mathematics, Fall 2008 Reading and Homework Assignment 14 Reading: Lectures 38-39: 8.6 Lectures 40-42: 9.1–9.4, 9.7, 9.8 Homework (due Monday, 12/8): Self-checking problems 8.6: 3, 25, 35, 61 9.1: 3, 5, 7, 9, 21 9.2: 5, 25, 31(d), 53(b) 9.3: 23, 37, 41 9.4: 3, 4, 5, 17(b,c), 45(c) 9.7: 3 9.8: 5, 9, 15 Problems to hand in: 8.6: 6, 22(c), 36 9.2: 18, 26(a,b), 34, 58 9.3: 38, 44
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Unformatted text preview: 9.4: 18, 54 9.7: 6, 8 9.8: 12 (for graphs 5 and 9 only), 18 (A) Find the number of linear extensions (or compatible total orderings , in the terminology used by Rosen) of the poset whose Hasse diagram is shown in 8.6, Exercise 27. (B) Find a planar graph which has chromatic number equal to 4, and does not contain a subgraph isomorphic to K 4 ....
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