منابع مشابه
Generating functions for generating trees
Certain families of combinatorial objects admit recursive descriptions in terms of generating trees: each node of the tree corresponds to an object, and the branch leading to the node encodes the choices made in the construction of the object. Generating trees lead to a fast computation of enumeration sequences (sometimes, to explicit formulae as well) and provide efficient random generation al...
متن کاملPDL for Ordered Trees
This paper is about a special version of PDL, designed by Marcus Kracht for reasoning about sibling ordered trees. It has four basic programs corresponding to the child, parent, leftand right-sibling relations in such trees. The original motivation for this language is rooted in the field of model-theoretic syntax. Motivated by recent developments in the area of semistructured data, and, especi...
متن کاملDynamic Succinct Ordered Trees
We study the problem of maintaining a dynamic tree succinctly, in 2n + o(n) bits, under updates of the following form: insertion or deletion of a leaf, insertion of a node on an edge (edge subdivision) or deletion of a node with only one child (the child becomes a child of the grandparent). We allow satellite data of a fixed (but not necessarily constant) size to be associated to the nodes of t...
متن کاملGenerating Better Decision Trees
A new decision tree learning algorithm called IDX is described. More general than existing algorithms, IDX addresses issues of decision tree quality largely overlooked in the artificial intelligence and machine learning literature. Decision tree size, error rate, and expected classification cost are just a few of the quality measures it can exploit. Furthermore, decision trees of varying qualit...
متن کاملGenerating Random Spanning Trees
This paper describes a probabilistic algorithm that, given a connected, undirected graph G with n vertices, produces a spanning tree of G chosen uniformly at random among the spanning trees of G. The expected running time is O(n logn) per generated tree for almost all graphs, and O(n3) for the worst graphs. Previously known deterministic algorithms and much more complicated and require O(n3) ti...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 1988
ISSN: 0304-3975
DOI: 10.1016/0304-3975(88)90169-7