Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

Normal Size Small Size show me how

# D1 Definitions

### Graph Definitions

Question | Answer |
---|---|

Graph | a set of vertices (or nodes) together with a set of edges |

Edge | a line with a vertex at each end |

Loop | an edge with the same vertex at each end |

Degree (or Order) of a Vertex | the number of edges incident on it |

Simple Graph | a graph where there are no loops, and in which there is no more than one edge connecting any pair of vertices |

Walk | a sequence of edges in which the end of one edge (except the last) is the beginning of the next |

Trail | a walk where no edge is repeated |

Path | a trail where no vertex is repeated |

Cycle | a closed path |

Hamiltonian Cycle | a cycle which visits every vertex |

When is a graph connected? | if a path exists between every pair of vertices |

Tree | a simple connected graph with no cycles |

Digraph (directed graph) | a graph is which at least one edge has a direction associated with it |

Complete graph | a simple graph in which every pair of vertices is connected by an edge |

Incidence Matrix | a way of representing a graph by a matrix |

Isomorphic Graphs | Two graphs are isomorphic if one can be stretched, twisted or otherwise distorted into each other |

Planar Graph | a graph which can be drawn without any edges crossing |

Bipartite Graph | a graph in which the vertices fall into two sets and in which each edge has a vertex from one set at one end and from the other set at its other end |

Created by:
Masterniket