# Multigraph

From Encyclopedia of Mathematics

A graph in which multiple edges are allowed.

#### Comments

Multigraphs are very useful for modelling the molecular structure of chemical compounds, see [a1]. Multigraphs in which loops are also allowed (called pseudo-graphs in [a2]) are called graphs by the Canadian School of graph-theorists (see [a3]). See also Graph.

#### References

[a1] | A.T. Balaban (ed.) , Chemical application of graph theory , Acad. Press (1976) |

[a2] | F. Harary, "Graph theory" , Addison-Wesley (1969) pp. Chapt. 9 |

[a3] | J.A. Bondy, U.S.R. Murthy, "Graph theory with applications" , Macmillan (1976) |

**How to Cite This Entry:**

Multigraph.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Multigraph&oldid=13089