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Results tagged with combinatorics
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user 10262
Questions related to combinatorics and discrete mathematical structures
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Count of all simple paths between two vertices in a Complete graph [closed]
A path is simple if no vertices are repeated. How many simple paths exist between two vertices in a complete graph?
One way is listing all simple paths using depth-first search. but I think it should …
- 131
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Accepted
Count of all simple paths between two vertices in a Complete graph
$c(1)=0,$
$c(n)=(n-2)*c(n-1)+1$
suppose we have c(n-1) path in (n-1)-Complete Graph.
when we add one more vertices, we add $(n-2)*c(n-1)$ new path and one for directed path.
the result is same as r …
- 131