The research survey of routes to various attractions in Loei province by the shortest path (shortest path) to travel. In Loei province at the shortest and presentation of project travel to places in Loei province of travel unique, is set to survey routes tourist services. In Loei province by the shortest path (shortest path), which is a lesson in mathematics more this theory was taught in Secondary year 5 is the elements of mathematical knowledge is applied first to benefit as well.