'Nonadjacent vertices' presentation slideshows

Four rules or facts about probability:

Four rules or facts about probability:. The probability of an event that cannot occur is 0. The probability of an event that must occur is 1. Every probability is a number between 0 and 1 inclusive. The sum of the probabilities of all possible outcomes of an experiment is 1.

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Definition 7.2.1

Definition 7.2.1. Hamiltonian graph: A graph with a spanning cycle (also called a Hamiltonian cycle). Hamiltonian cycle. Hamiltonian graph. Theorem 7.2.8. If G is a simple graph with at least three vertices and ? (G) ? n(G)/2, then G is Hamiltonian.

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NP-Completeness (36.4-5/34.4-5)

NP-Completeness (36.4-5/34.4-5). P: yes and no in pt NP: yes in pt NPH ? NPC. NP-hard. NPC. P. NP. Satisfiability. Boolean formulas: ?x, (x ? y) (x ? y) (x?y) (x?y) Satisfiability Problem (SP): given a Boolean formula

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6.13

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