Output-sensitive listing of bounded-size trees in undirected graphs

Abstract

Motivated by the discovery of combinatorial patterns in an undirected graph G with n vertices and m edges, we study the problem of listing all the trees with k vertices that are subgraphs of G. We present the first optimal output-sensitive algorithm, i.e. runs in O(sk) time where s is the number of these trees in G, and uses O(m) space. © 2011 Springer-Verlag Berlin Heidelberg.