Well, I bet there's a more elegant way than this, but this seems to work.
p = {[12 11 13 9]}; % denotes a route with links 12-11,11-13 &13-9.
routes_log = {[13 9 10] [6 11 13 2] [12 14 6]}; % a 1*3 cell array. Each one denotes a route
% build link list as node pairs
lklistp = repelem(p{:},2);
lklistp = reshape(lklistp(2:end-1),2,[]).'
% compare link lists in logs, build logical mask
shareslinks = false(size(routes_log));
for lg = 1:numel(routes_log)
lklistlog = repelem(routes_log{lg},2);
lklistlog = reshape(lklistlog(2:end-1),2,[]).';
shareslinks(lg) = any(all(ismember(lklistlog,lklistp),2));
end
% apply mask
routeswithcommonlinks = routes_log(shareslinks);
celldisp(routeswithcommonlinks)
