Sometimes, rather than traveled along every connection in a network, our object is simply to visit every node of the network. This relates to a different structure in the corresponding graph. The defi...Sometimes, rather than traveled along every connection in a network, our object is simply to visit every node of the network. This relates to a different structure in the corresponding graph. The definitions of path and cycle ensure that vertices are not repeated. Hamilton paths and cycles are important tools for planning routes for tasks like package delivery, where the important point is not the routes taken, but the places that have been visited.
