# D1vocab

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- Created by: S1mba
- Created on: 01-05-14 10:20

Complete matching

A matching where every member of one set is paired to a member of the other set.

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Digraph

Graph in which all edges have a specified direction. (These are called directed edges)

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Bipartite graph

2 distinct sets of vertices. Edges only join a vertex of one set to a vertex of the other set, not vertices within a set.

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Minimum spanning tree/ Minimum connector

A spanning tree such that the total length of its arcs is as small as possible.

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Matching

Is a one to one pairing of some or all of the elements of one set with elements of a second set. One to one means each element of the first set is paired with only one element of the second set.

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Path

Finite sequence of edges, end vertex of one edge is the start vertex of the next edge. No vertex appears more than once.

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Total float

Amount of time an activities can be delayed without affecting the duration of the project. Eg. F(a,b)=late(b)-early(a)-duration(a,b).

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Degree/ Valency/ Order

The number of edges incident to a vertex. A vertex is odd/even if the degree is odd/even.

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Cycle/ Circuit

Closed path. Closed means the end vertex of the final edge is the start vertex of the first edge.

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Complete graph/ Connected graph

Graph in which all vertices are connected. Denoted Kn if it has n vertices.

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Connected vertices

Vertices with a path between them.

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Complete graph

A graph in which all of the vertices are connected to every other vertex.

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Spanning tree

Sub graph which includes all vertices of the original graph. Is a tree, with no cycles.

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Graph

Contains points (vertices/nodes) connected by lines (arcs or edges).

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Subgraph of graph G

Is a graph, each of whose vertices belong to G and each of whose edges belongs to G.

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Tree

Connected graph with no cycles.

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Weighted graph/ Network

Graph with numbers associated with each edge.

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Maximal matching

A matching in which the number of arcs is as big as possible.

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Critical path

Path from source node to sink node. Which only follows critical activities. The longest path in the network.

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Dummy activity

1) Activity _depends only on activity _ but activity _ depends on activities _&_. 2) To enable the unique representation of activities _&_ in terms of their end events.

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Critical activity

An activity for which an increase in its duration results in a corresponding increase in the duration of the project. An activity with a float of zero.

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Semi-traversible (semi-eulerian) graph

Graph with precisely two odd valences. The start and finish point of a traverse around the graph must be the odd vertices.

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Alternating path

Path starting at an unmatched node from one set of a bipartite graph and finishing at an unmatched node from the other set. Using arcs alternately in and not in the in initial matching.

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Non-traversible graph

A graph with more than two odd nodes.

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Traversible (eulerian) graph

A graph which you can draw over all of the arcs exactly once without taking your pen of the paper. A graph with no odd nodes.

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## Other cards in this set

### Card 2

#### Front

Graph in which all edges have a specified direction. (These are called directed edges)

#### Back

Digraph

### Card 3

#### Front

2 distinct sets of vertices. Edges only join a vertex of one set to a vertex of the other set, not vertices within a set.

#### Back

### Card 4

#### Front

A spanning tree such that the total length of its arcs is as small as possible.

#### Back

### Card 5

#### Front

Is a one to one pairing of some or all of the elements of one set with elements of a second set. One to one means each element of the first set is paired with only one element of the second set.

#### Back

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