Decision Key Terms

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Efficiency of an Algorithm
A measure of the 'run time' sometimes proportional to the no. of operations carried out.
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Size of an Algorithm
The complexity of the algorithm, in graphs this is how many vertices it has.
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The order of an algorithm
A measure of its efficiency as a function of its size.
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Graph
Consists of points (nodes or vertices) which are connected by lines (edges or arcs).
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Subgraph
A graph whose vertices and edges belong to a graph
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Weighted graph/Network
A graph where its edges are given numbers.
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Degree/Valency of a vertex
The number of edges incident to it.
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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. In which no vertex appears more than once.
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Cycle/Circuit
A closed path
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Connected vertices
Two vertices are cnnected if they have a path between them.
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Connected graph
A graph is connected if all the vertices are connected.
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Directed edges
The edges have a direction associated with them.
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Digraph
A graph made up of directed edges.
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Tree
A graph with no cycles
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Spanning tree
A subgraph of a graph which is a tree that connects all the nodes of the graph.
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Eulerian graph
A graph in which every vertex is of even degree.
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Eulerian cycle
A graph that includes every edge of a graph exactly once.
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Semi-Eulerian graph
A graph that has exactly two vertices of odd degree.
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Hamiltonian cycle
A cycle that passes through every vertex once and only once.
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Planar graph
No two edges meet or cross except at a node.
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Isomorphic graphs
Two graphs that have the same number of vertices and the degrees of the correspnding vertices are the same.
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Other cards in this set

Card 2

Front

The complexity of the algorithm, in graphs this is how many vertices it has.

Back

Size of an Algorithm

Card 3

Front

A measure of its efficiency as a function of its size.

Back

Preview of the back of card 3

Card 4

Front

Consists of points (nodes or vertices) which are connected by lines (edges or arcs).

Back

Preview of the back of card 4

Card 5

Front

A graph whose vertices and edges belong to a graph

Back

Preview of the back of card 5
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