We present an O(NV +V 3) time algorithm for enumerating all spanning trees of a directed graph. This improves the previous best known bound of O(NE + V + E) [1] when V 2 = o(N), wh...
Abstract. We consider a survivable network design problem known as the 2-NodeConnected Steiner Network Problem (2NCON): we are given a weighted undirected graph with a node partiti...
Markus Chimani, Maria Kandyba, Ivana Ljubic, Petra...
We describe several RNC algorithms for generating graphs and subgraphs uniformly at random. For example, unlabelled undirected graphs are generated in O(lg3 n) time using O n2 lg3...
In this paper we study the problems of detecting holes and antiholes in general undirected graphs, and we present algorithms for these problems. For an input graph G on n vertices ...
A simple graph G is k-ordered (respectively, k-ordered hamiltonian) if, for any sequence of k distinct vertices v1, . . . , vk of G, there exists a cycle (respectively, a hamilton...