Editing Resistance distance (section)

===Connection with Fibonacci numbers ===
A fan graph is a graph on {{math|''n'' + 1}} vertices where there is an edge between vertex {{mvar|i}} and {{math|''n'' + 1}} for all {{math|1=''i'' = 1, 2, 3, …, ''n''}}, and there is an edge between vertex {{mvar|i}} and {{mvar|''i'' + 1}} for all {{math|1=i = 1, 2, 3, …, ''n'' – 1}}.

The resistance distance between vertex {{math|''n'' + 1}} and vertex {{math|''i'' ∈ {1, 2, 3, …, ''n''} }} is 
:<math>\frac{ F_{2(n-i)+1} F_{2i-1} }{ F_{2n} }</math> 
where {{mvar|F{{sub|j}}}} is the {{mvar|j}}-th Fibonacci number, for {{math|''j'' ≥ 0}}.<ref>{{cite journal
 | last1 = Bapat | first1 = R. B.
 | last2 = Gupta | first2 = Somit
 | doi = 10.1007/s13226-010-0004-2
 | issue = 1
 | journal = Indian Journal of Pure and Applied Mathematics
 | mr = 2650096
 | pages = 1–13
 | title = Resistance distance in wheels and fans
 | url = https://www.isid.ac.in/~rbb/somitnew.pdf
 | volume = 41
 | year = 2010}}</ref>