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24 Cards in this Set
- Front
- Back
Graph |
A graph(G) consists of nodes connected by arcs |
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Subgraph |
A subgraph of G contains nodes and arcs of G |
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Weighted graph |
A graph with numbers associated with each arc |
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Valency (degree) |
The degree or valency of a node is the number of edges incident to it |
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Path |
A finite sequence of arcs, such that the end node of one arc is the start node of the next and no node appears more than once. |
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Cycle (circuit) |
A closed path |
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Connected |
Nodes are connected if there's an arc between them |
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Connected graph |
All nodes are connected |
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Digraph |
Where arcs have directions associated with them |
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Tree |
A connected graph with no cycles |
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Spanning tree |
A subgraph of G which includes all the nodes of G 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 where each node is connected to every other node |
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Bipartite graph |
Consists of 2 sets of vertices, X and Y. Arcs only join X nodes to Y nodes, not nodes 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 |
Every member of X is paired with a member of Y |
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Other names for nodes |
Vertices, points |
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Other names for arcs |
Edges, lines |
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Other name for a cycle |
Circuit |
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Other name for a minimum spanning tree |
Minimum connector |
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Total float |
The total float F(i, j) of activity (i, j) is defined to be F(i, j) = lj – ei – duration (i, j), where ei is the earliesttime for event i and lj is the latest time for event j.
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Early event time |
The earliest time of arrival at the event, allowing for the completion of all preceding activities |
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Late event time |
The latest time that the event an be left without extending the time needed for completion |
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Critical activity |
An activity where any increase in its duration results in a corresponding increase in the whole project duration. Total float=0 |