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Published byAlycia Wice Modified over 4 years ago

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Graph

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-traffic modeling MAXIMUM FLOW -shortest (fastest) route SHORTEST PATH -efficient distribution, logistics, pickup/delivery HAMILTONIAN PATH/CYCLE, TRAVELLING SALESMAN PROBLEM CHINESE POSTMAN PROBLEM Network Modeling (rail, road, airline) Applications

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-circuit layout, VLSI GRAPH DRAWING PLANARITY -communication protocols DIAMETER, RADIUS SPANNING TREE DOMINATING SET -fault-tolerant networks MINIMUM CUT CONNECTIVITY Applications Network Modeling (electrical, communication)

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Applications -Job scheduling / Critical path GRAPH COLOURING MAXIMUM CLIQUE -Job Assignment MAXIMUM MATCHING STABLE MARRIAGE PROBLEM -Evolutionary trees (Biology) TREE DECOMPOSITION Modeling conflict / compatibility / relationship

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Grade 11 AP Mathematics Graph Theory Definition: A graph, G, is a set of vertices v(G) = {v 1, v 2, v 3, …, v n } and edges e(G) = {v i v j where 1 ≤ i,

Grade 11 AP Mathematics Graph Theory Definition: A graph, G, is a set of vertices v(G) = {v 1, v 2, v 3, …, v n } and edges e(G) = {v i v j where 1 ≤ i,

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