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Graphs and digraphs, complement, isomorphism
Connectedness and reachability, adjacency matrix
Eulerian paths and circuits in graphs and digraphs
Hamiltonian paths and circuits in graphs and tournaments
Trees; Planar graphs, Euler’s formula, dual of a planer graph
Independence number and clique number, chromatic number, statement of Four-color theorem
Propositional calculus - propositions and connectives, syntax
Semantics - truth assignments and truth tables, validity and satisfiability, tautology
Adequate set of connectives; Equivalence and normal forms
Compactness and resolution
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