D1 - Chapter 2 - Keywords

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  • Created by: Sydney97
  • Created on: 17-09-14 19:15
Graph
Consists of points connected by lines
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Weighted Graph/Network
A graph that has a number associated with each edge
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Vertices/Nodes
Points on a graph
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Edges/Arcs
Lines on a graph
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Subgraph
A subset of vertices together with a subset of the edges
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Degree/Valency/Order
The number of edges attached to a vertex
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Path
A finite sequence of edges such that the end vertex of one edge in the sequence is the start vertex of the next and no vertex is repeated
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Walk
A path where you are allowed to return to vertices more than once
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Cycle/Circuit
A closed path, i.e. the end vertex of the last edge is the start vertex of the first edge
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Connected Graph
All vertices are joined by a path
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Loop
An edge that starts and finishes at the same vertex
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Simple Graph
A graph in which there are no oops and not more than one edge connecting any pair of vertices
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Directed Edges
Edges with an arrow on them showing the direction
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Digraph
A graph that has directed edges
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Tree
A connected graph with no cycles
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Spanning Tree
A subgraph which includes all the vertices of the graph and is a tree
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Complete Graph
Every vertex is connected to every other vertex
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Bipartite Graph
Where two sets of vertices connect to vertices in the opposite set only
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Complete Bipartite Graph
All vertices in each set are completely connected to the opposite set
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Isomorphic Graphs
The same graphs, only drawn differently
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Adjacency Matrix
Records the number of direct links between vertices
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Distance Matric
Records the weight on the edges. (No weight = – )
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Other cards in this set

Card 2

Front

A graph that has a number associated with each edge

Back

Weighted Graph/Network

Card 3

Front

Points on a graph

Back

Preview of the back of card 3

Card 4

Front

Lines on a graph

Back

Preview of the back of card 4

Card 5

Front

A subset of vertices together with a subset of the edges

Back

Preview of the back of card 5
View more cards

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