Different definitions have been given for the dimension of a [[complex network]] or [[graph theory|graph]]. For example, [[Metric dimension (graph theory)|metric dimension]] is defined in terms of the resolving set for a graph. Dimension has also been [[Fractal dimension on networks|defined]] based on the [[Minkowski–Bouligand dimension|box covering method]] applied to graphs.<ref name=goh>{{cite journal | lastlast1=Goh | firstfirst1=K.-I. | last2=Salvi | first2=G. | last3=Kahng | first3=B. | last4=Kim | first4=D. | title=Skeleton and Fractal Scaling in Complex Networks | journal=Physical Review Letters | publisher=American Physical Society (APS) | volume=96 | issue=1 | date=2006-01-11 | issn=0031-9007 | doi=10.1103/physrevlett.96.018701 | page=018701| pmid=16486532 |arxiv=cond-mat/0508332}}</ref> Here we describe the definition based on the '''complex network zeta function'''.<ref name="Shankerb">{{cite journal|author=O. Shanker|year=2007|title=Graph Zeta Function and Dimension of Complex Network|journal=Modern Physics Letters B|volume= 21|pages=639–644|doi=10.1142/S0217984907013146 | issue=11|bibcode=2007MPLB...21..639S}}</ref> This generalises the definition based on the scaling property of the volume with distance.<ref name="Shankera">{{cite journal|author=O. Shanker|year=2007|title=Defining Dimension of a Complex Network |journal=Modern Physics Letters B|volume= 21|pages=321–326|doi=10.1142/S0217984907012773 | issue=6|bibcode=2007MPLB...21..321S}}</ref> The best definition depends on the application.
