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.
Output-Sensitive Listing of Bounded-Size Trees in Undirected Graphs.
RIZZI, ROMEO
2011-01-01
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.
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