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Year 12 Network Conc

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Term
Definition
network   a term used to describe a group or system of interconnected objects. It consists of vertices and edges that indicate a path or route between two objects.  
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network diagram   a representation of a group of objects vertices that are connected together by lines  
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vertex   a point (or dot) in a network diagram at which lines of pathways interect  
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edge   the line that connects the vertices in a network diagram  
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degree   the number of edges that are connected to a vertex in a network diagram  
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loop   edge that starts and ends at the same vertex  
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directed network   a network whose edges have arrows and travel is only possible in the direction of arrows  
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undirected network   a network whose edges have no arrows and travel is possible in both directions  
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weighted edge   an edge of a network diagram that has a number assigned to it that implies some numerical value such as cost, distance or time  
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walk   a connected sequence of edges showing a route between vertices where the edges and vertices may be visited multiple times  
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trail   a walk with no repeated edges  
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path   a walk with no repeated vertices  
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circuit   a walk with no repeated edges that starts and ends at the same vertex  
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cycle   a walk with no repeated vertices that starts and ends at the same vertex  
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eulerian trail   a trail that uses every edge of a graph exactly once  
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eulerian circuit   a circuit that uses every edge of a network graph exactly once  
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weighted graph   a network diagram that has weighted edges  
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hamiltonian path   a path that passes through every vertex of a graph once and only once  
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hamiltonian cycle   a hamiltonian path that starts and finishes at the same vertex  
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