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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
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