The longest path problem is the problem of finding a path of maximum length in a graph. Polynomial solutions for this problem are known only for small classes of graphs, while it ...
Kyriaki Ioannidou, George B. Mertzios, Stavros D. ...
Abstract-Dynamic routing protocols such as RIP and OSPF essentially implement distributed algorithms for solving the Shortest Paths Problem. The Border Gateway Protocol (BGP) is cu...
Timothy Griffin, F. Bruce Shepherd, Gordon T. Wilf...
In classical network flow theory the choice of paths, on which flow is sent, is only restricted by arc capacities. This, however, is not realistic in most applications. Many prob...
This technical report illustrates the differences in solving the optimal path problem (shortest path) using different methods, where the underlying PDE can be described by the eik...
We survey results on the sequential and parallel complexity of hamiltonian path and cycle problems in various classes of digraphs which generalize tournaments. We give detailed in...