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RTA
2005
Springer
14 years 2 months ago
Automata and Logics for Unranked and Unordered Trees
In this paper, we consider the monadic second order logic (MSO) and two of its extensions, namely Counting MSO (CMSO) and Presburger MSO (PMSO), interpreted over unranked and unord...
Iovka Boneva, Jean-Marc Talbot
DAM
1998
61views more  DAM 1998»
13 years 8 months ago
On Trees and Noncrossing Partitions
We give a simple and natural proof of (an extension of) the identity P(k, l, n) = P2(k − 1, l − 1, n − 1). The number P(k, l, n) counts noncrossing partitions of {1, 2, . . ...
Martin Klazar
GD
2006
Springer
14 years 8 days ago
Schematisation of Tree Drawings
Given a tree T spanning a set of points S in the plane, we study the problem of drawing T using only line segments aligned with a fixed set of directions C. The vertices in the dra...
Joachim Gudmundsson, Marc J. van Kreveld, Damian M...
BROADCOM
2008
IEEE
13 years 10 months ago
Tree Based Flooding Protocol for Multi-hop Wireless Networks
In this paper we propose and analyze an efficient flooding technique for static multi-hop wireless networks. The protocol builds up a routing tree that connects all network nodes....
Raphael Frank, Thomas Scherer, Thomas Engel
DCG
1999
81views more  DCG 1999»
13 years 8 months ago
Properties of Random Triangulations and Trees
Let Tn denote the set of triangulations of a convex polygon K with n sides. We study functions that measure very natural "geometric" features of a triangulation Tn, fo...
Luc Devroye, Philippe Flajolet, Ferran Hurtado, Ma...