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12 Cards in this Set

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Simple graph

A graph which has no loops and not more than one edge connecting each pair of vertices

Directed edges

Edges that have a direction associated with them

Graph with directed edges is known as a

Digraph

Tree

Connected graph with no cycles

Spanning tree of a graph (G)

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

Bipartite graph

A graph that 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.

Complete graph

A graph in which every vertex is directly connected by an edge to each of the other vertices (If graph has n vertices, graph is denoted Kn.

Complete bipartite graph is denoted...

Kr,s

A complete bipartite graph is a graph in which...

there are r vertices in set X and s vertices in set Y

What do isomorphic graphs show and how are they different?

Exact same information but are drawn differently.

What does an adjacency matrix record?

The number of direct links between vertices

What does a distance matrix record?

Weights on the edges (When there is no weight, this is shown by '-')