Decision Graph Definitions

HideShow resource information
Arc (Edge)
A line connecting two nodes (vertices) on a graph
1 of 20
Bipartite Graph
Vertices fall into two sets and each edge has a vertex with one set at one end and the other set at the other end.
2 of 20
Complete graph
simple graph in which every pair of vertices is connected by an edge.
3 of 20
Connected graph
Where a path exists between every pair of vertices.
4 of 20
Cycle
A closed path
5 of 20
Degree
The degree (or order) of a vertex is the number of arcs (edges() connecting to it
6 of 20
Digraph
Graph in which at least one arc ((edge) has a direction associated with it.
7 of 20
Discrete set
A set which can be counted
8 of 20
Graph
A set of vertices linked in some way with arcs (edges)
9 of 20
Hamilton cycle
A cycle which visits every vertex. Each vertex is visited once and only once.
10 of 20
Incidence matrix
A way of representing a graph on a matrix.
11 of 20
Isomorphic
Two graphs are isomorphic if one can be stretched, twisted or otherwise distorted into the other
12 of 20
Loop
An arc whose beginning and end both link to the same vertex.
13 of 20
Vertex (Node)
A point on a graph that is connected to other vertices by arcs.
14 of 20
Path
A trail in which no vertex is repeated
15 of 20
Planar graph
A graph which can be drawn with any arcs crossing
16 of 20
Simple graph
A graph in which tehre are no loops and in which there is no more than one arc connecting any pair of vertices.
17 of 20
Trail
A walk in which no arc is repeated
18 of 20
Tree
A simple connected graph with no cycles.
19 of 20
Walk
A sequence of arcs in which the end of each arc (except the last) is the beginning of the next
20 of 20

Other cards in this set

Card 2

Front

Vertices fall into two sets and each edge has a vertex with one set at one end and the other set at the other end.

Back

Bipartite Graph

Card 3

Front

simple graph in which every pair of vertices is connected by an edge.

Back

Preview of the back of card 3

Card 4

Front

Where a path exists between every pair of vertices.

Back

Preview of the back of card 4

Card 5

Front

A closed path

Back

Preview of the back of card 5
View more cards

Comments

No comments have yet been made

Similar Mathematics resources:

See all Mathematics resources »See all Decisions Graphs resources »