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girth
Author: Marian Olejar, Jr. Created: May/08/2006 Last edit: Sep/29/2006
graph theory:
Girth (denoted g(G)) is minimum length of smallest cycle in graph G = (V, E). The number of edges in its shortest cycle. If graph has a loop, then its girth is 1. If it has multiple edges, then its girth is at least 3. If graph is a tree, its girth is infinite. Sometimes denoted girth(G), g(G), ... relation between diameter and girth: g(G) `<=` 2diam(G) + 1 See also: radius of graph, Cite this article as: Marian Olejar, Jr.: girth from VeryPrime's Dictionary of mathematics Link to this page: http://www.veryprime.com/dict/girth.php |