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103
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JUCS
2007
148views more  JUCS 2007»
14 years 9 months ago
Analysis of two Sweep-line Algorithms for Constructing Spanning Trees and Steiner Trees
: We give a tight analysis of an old and popular sweep-line heuristic for constructing a spanning tree of a set of n points in the plane. The algorithm sweeps a vertical line acros...
Adrian Dumitrescu, Csaba D. Tóth
JCSS
2007
107views more  JCSS 2007»
14 years 9 months ago
On the minimization of XML Schemas and tree automata for unranked trees
Automata for unranked trees form a foundation for XML schemas, querying and pattern languages. We study the problem of efficiently minimizing such automata. First, we study unrank...
Wim Martens, Joachim Niehren
ICALP
2007
Springer
15 years 3 months ago
Succinct Ordinal Trees Based on Tree Covering
Abstract. Various methods have been used to represent a tree on n nodes in essentially the informationtheoretic minimum space while supporting various navigational operations in co...
Meng He, J. Ian Munro, S. Srinivasa Rao
IPL
2007
89views more  IPL 2007»
14 years 9 months ago
On the longest path algorithm for reconstructing trees from distance matrices
Culberson and Rudnicki [1] gave an algorithm that reconstructs a degree d restricted tree from its distance matrix. According to their analysis, it runs in time O(dn logd n) for t...
Lev Reyzin, Nikhil Srivastava
58
Voted
ALGORITHMICA
2002
109views more  ALGORITHMICA 2002»
14 years 9 months ago
A Near-Linear Area Bound for Drawing Binary Trees
We present several simple methods to construct planar, strictly upward, strongly order-preserving, straight-line drawings of any n-node binary tree. In particular, it is shown that...
Timothy M. Chan