Space Efficient Algorithms for Ordered Tree Comparison

Time and space efficient algorithms for decomposing certain partially ordered sets

Efficient algorithms for decision tree cross-validation

Cross-validation is a useful and generally applicable technique often employed in machine learning, including decision tree induction. An important disadvantage of straightforward implementation of the technique is its computational overhead. In this paper we show that, for decision trees, the computational overhead of cross-validation can be reduced significantly by integrating the crossvalida...

Efficient Algorithms for the Tree Homeomorphism Problem

Tree pattern matching is a fundamental problem that has a wide range of applications in Web data management, XML processing, and selective data dissemination. In this paper we develop efficient algorithms for the tree homeomorphism problem, i.e., the problem of matching a tree pattern with exclusively transitive (descendant) edges. We first prove that deciding whether there is a tree homeomorph...

Algorithms for efficient phylogenetic tree construction

The gene-duplication problem is to infer a species supertree from a collection of gene trees that are confounded by complex histories of gene duplications. This problem is NP-hard and thus requires efficient and effective heuristics. Existing heuristics perform a stepwise search of the tree space, where each step is guided by an exact solution to an instance of a local search problem. These loc...

Efficient Self-stabilizing Algorithms for Tree Networks

Many proposed self-stabilizing algorithms require an exponential number of moves before stabilizing on a global solution, including some rooting algorithms for tree networks [1, 2, 3]. These results are vastly improved upon in [5] with tree rooting algorithms that require only O(n3 + n2 · ch) moves, where n is the number of nodes in the network and ch is the highest initial value of a variable....