C++ priority_queue with lambda comparator error

First define the lambda object, then pass it to the template's type using decltype and also pass it directly to the constructor.

auto comp = []( adjist a, adjlist b ) { return a.second > b.second; };
priority_queue< adjlist_edge , vector<adjlist_edge>, decltype( comp ) >
     adjlist_pq( comp );

priority_queue takes the comparator as a template argument. Lambda functions are objects, and thus can't be used as template arguments (only very few types can be, among them integral types).

You can try using decltype there:

priority_queue< adjlist_edge , vector<adjlist_edge>,
               decltype( [](adjlist_edge a, adjlist_edge b) -> bool {
                if(a.second > b.second){ return true; } else { return false; }
               })>
adjlist_pq( [](adjlist_edge a, adjlist_edge b) -> bool {
                if(a.second > b.second){ return true; } else { return false; }
             } );

Failing that (and it will), you can use function<>:

priority_queue< adjlist_edge , vector<adjlist_edge>,
                function<bool(adjlist_edge,adjlist_edge)> >
adjlist_pq( [](adjlist_edge a, adjlist_edge b) -> bool {
                if(a.second > b.second){ return true; } else { return false; }
            } );