MySQL 8.4.0
Source Code Documentation

#include <functional>
#include <set>
#include <stack>
#include <tuple>
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Functions  
template<typename TVertex , typename TVisit_start , typename TVisit_end , typename TGet_neighbors , typename TVertex_less = std::less<TVertex>>  
void  depth_first_search (TVertex start_vertex, TVisit_start visitor_start, TVisit_end visitor_end, TGet_neighbors get_neighbors, std::set< TVertex > &visited_set=std::set< TVertex >{}) 
Performs a Depth First Search algorithm on a graph defined by a set of vertices being an subset of universum of values of TVertex type and, and set of directed edges generated on demand by get_neighbors() method supplied. More...  
void depth_first_search  (  TVertex  start_vertex, 
TVisit_start  visitor_start,  
TVisit_end  visitor_end,  
TGet_neighbors  get_neighbors,  
std::set< TVertex > &  visited_set = std::set<TVertex>{} 

) 
Performs a Depth First Search algorithm on a graph defined by a set of vertices being an subset of universum of values of TVertex type and, and set of directed edges generated on demand by get_neighbors() method supplied.
Search starts with a selected vertex, for each vertex that is encountered a visitor_start() method supplied is called and when the DFS finishes traversal from that vertex, a visitor_end() method is called. The set of visited nodes is maintained, so the input graph don't have to be a Directed Acyclic Graph.
start_vertex  A vertex to start a search from.  
visitor_start  A method or lambda that will be called when a specified vertex starts to be processed, the vertex is supplied as the only argument.  
visitor_end  A method or lambda that will be called when a specified vertex ends to be processed, i.e. all its neighbors were already processed, the vertex is supplied as the only argument.  
get_neighbors  A method or lambda that takes a vertex as an argument and returns a enumerable list of all vertices to which the edges exists.  
[in,out]  visited_set  A set of vertices that were visited. This can be used to run multiple DFS runs and assure any vertex will not be visited more than once. 