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16 Cards in this Set

  • Front
  • Back

Complete matching

If every member of X is paired with a member of Y

Minumum spanning tree

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

Connected vertices

There is a path between them

Complete graph

A graph in which each of the 'n' vertices is connected to every other vertex

Cycle (circuit)

A closed path, i.e. the end vertex of the last edge is the start vertex of the first edge

Subgraph

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

Digraph

The edges of a graph have a direction associated with them

Connected graph

All its vertices are connected

Spanning tree

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

Tree

A connected graph with no cycles

Bipartite graph

Two set of vertices X and Y. The edges only join vertices in X to vertices in Y, not vertices within a set

Matching

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

Weighted graph or network

If a graph has a number associated with each badge

Degree or valency

The number of edges incident to a vertex

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

Graph

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