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24 Cards in this Set

  • Front
  • Back

Graph

A graph(G) consists of nodes connected by arcs

Subgraph

A subgraph of G contains nodes and arcs of G

Weighted graph

A graph with numbers associated with each arc

Valency (degree)

The degree or valency of a node is the number of edges incident to it

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.

Cycle (circuit)

A closed path

Connected

Nodes are connected if there's an arc between them

Connected graph

All nodes are connected

Digraph

Where arcs have directions associated with them

Tree

A connected graph with no cycles

Spanning tree

A subgraph of G which includes all the nodes of G and is also a tree

Minimum spanning tree

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

Complete graph

A graph where each node is connected to every other node

Bipartite graph

Consists of 2 sets of vertices, X and Y. Arcs only join X nodes to Y nodes, not nodes within a set

Matching

The pairing of some or all of the elements of one set X with elements of a second set Y

Complete matching

Every member of X is paired with a member of Y

Other names for nodes

Vertices, points

Other names for arcs

Edges, lines

Other name for a cycle

Circuit

Other name for a minimum spanning tree

Minimum connector

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.

Early event time

The earliest time of arrival at the event, allowing for the completion of all preceding activities

Late event time

The latest time that the event an be left without extending the time needed for completion

Critical activity

An activity where any increase in its duration results in a corresponding increase in the whole project duration. Total float=0