D1 Vocab

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Graph
Consists of points (vertices or nodes) which are connected by lines (edges or arcs)
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Subgraph
Is a graph G, each of whose vertices belongs to G and each of whose edges belongs to G
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Weighted graph/network
A graph which has a number associated with each edge
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Degree/valency
The number of edges incident to a vertex, a vertex is odd if it has odd degree
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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 in which no vertex appears more than once
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Cycle (circuit)
A closed path, ie the end vertex of the last edge is the start vertex of the first edge
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Connected graph
All vertices are connected
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Directed edges
The edges of a graph have a direction associated with them
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Digraph
A graph with 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 a graph and is also a tree
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Minimum spanning tree
A spanning tree such that the total length of its arcs is as small as possible
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Complete graph
A graph in which each of the vertices is connected to every other vertex
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Total float
Latest start time - early start time - duration of event
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Bipartite graph
Consists of two sets of vertices X and Y. The edges only join vertices in X to vertices in Y, not vertices within a set.
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Matching
The pairing of some or all of the elements of one set, X, with elements of a second set, Y.
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Complete matching
A matching where every member of X is paired with a member of Y
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Other cards in this set

Card 2

Front

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

Back

Subgraph

Card 3

Front

A graph which has a number associated with each edge

Back

Preview of the back of card 3

Card 4

Front

The number of edges incident to a vertex, a vertex is odd if it has odd degree

Back

Preview of the back of card 4

Card 5

Front

A finite sequence of edges, such that the end vertex of one edge in the sequence is the start vertex of the next, and in which no vertex appears more than once

Back

Preview of the back of card 5
View more cards

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