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D1 Graphs & Networks

Definitions

TermDefinition
Graph Vertices (nodes) which are connected by edges (arcs)
Subgraph Part of a graph
Degree / Valency Number of edges incident to a vertex
Path A finite sequence of edges, in which no vertex appears more than once
Walk Like a path, but you can return to vertices
Cycle A closed path
Loop Starts a finishes at the same node
Simple graph A graph with no loops and not more than one edge connecting any pair of vertices
Digraph Graph with directed edges
Tree A connected graph with no cycles
Spanning Tree Subgraph including every vertex
Bipartite graph Two sets of vertices with edges joining between the sets
Complete graph Every vertex connected to every other vertex
Isomorphic graphs Different graphs showing the same information
Eulerian graph Connected graph with no odd nodes
Semi-Eulerian graph Connected graph with just one pair of odd vertices
Created by: abivdl
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