D1 Definitions - Graphs and Networks

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  • Created by: Cam
  • Created on: 21-05-15 17:56
Graph
Vertices (nodes) connected by Edges (arcs).
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Subgraph
A part of a graph.
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Weighted Graph
Graph in which there is a number (weight) associated with each edge.
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Valency
Number of edges a vertex has.
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Path
Finite sequence of edges, moving from one vertex to the next.
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Walk
Path where vertices can be visited more than once.
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Cycle
Closed path, i.e. the end vertex of the last edge is the start vertex of the first edge.
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Loop
An edge that starts and finishes at the same vertex.
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Simple Graph
Graph with no loops, one edge per vertex.
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Digraph
A graph in which the edges have a direction associated with them - the edges are known as directed edges.
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Tree
A connected graph with no cycles.
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Spanning Tree
Subgraph which includes all vertices, and is a tree.
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Bipartite Graph
Graph consisting of two sets of vertices, X and Y - X vertices only join Y vertices and vice versa.
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Complete Graph
Every vertex is directly connected to each of the other vertices.
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Isomorphic Graph
Same information as another graph, but drawn differently.
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Adjacency Matrix
Record of no. of direct links between vertices
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Distance Matrix
Record of weights on edges.
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Other cards in this set

Card 2

Front

A part of a graph.

Back

Subgraph

Card 3

Front

Graph in which there is a number (weight) associated with each edge.

Back

Preview of the back of card 3

Card 4

Front

Number of edges a vertex has.

Back

Preview of the back of card 4

Card 5

Front

Finite sequence of edges, moving from one vertex to the next.

Back

Preview of the back of card 5
View more cards

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