ch13_graphs - Graphs 337 LAX 2010Goodrich,Tamassia Graphs...

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©  2010 Goodrich, Tamassia Graphs 1 Graphs ORD DFW SFO LAX 8 0 2 1743 1843 1233 3 3 7
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©  2010 Goodrich, Tamassia Graphs 2 Graphs A graph is a pair  ( V, E ) , where V  is a set of nodes, called  vertices E  is a collection of pairs of vertices, called  edges Vertices and edges are positions and store elements Example: A vertex represents an airport and stores the three-letter airport code An edge represents a flight route between two airports and stores the  mileage of the route ORD PVD MIA DFW SFO LAX LGA HNL 849 8 0 2 1387 1743 1843 1099 1120 1233 3 3 7 2555 142
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©  2010 Goodrich, Tamassia Graphs 3 Edge Types Directed edge ordered pair of vertices ( u , v ) first vertex  u  is the origin second vertex  v  is the destination e.g., a flight Undirected edge unordered pair of vertices ( u , v ) e.g., a flight route Directed graph all the edges are directed e.g., route network Undirected graph all the edges are undirected e.g., flight network ORD PVD flight AA 1206 ORD PVD 849 miles
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©  2010 Goodrich, Tamassia Graphs 4 John David Paul brown.edu cox.net cs.brown.edu att.net qwest.net math.brown.edu cslab1b cslab1a Applications Electronic circuits Printed circuit board Integrated circuit Transportation networks Highway network Flight network Computer networks Local area network Internet Web Databases Entity-relationship diagram
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