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SODA
2010
ACM
200views Algorithms» more  SODA 2010»
14 years 2 months ago
Fully-Functional Succinct Trees
We propose new succinct representations of ordinal trees, which have been studied extensively. It is known that any n-node static tree can be represented in 2n + o(n) bits and a l...
Kunihiko Sadakane, Gonzalo Navarro
CSL
2003
Springer
13 years 9 months ago
Comparing the Succinctness of Monadic Query Languages over Finite Trees
Abstract. We study the succinctness of monadic second-order logic and a variety of monadic fixed point logics on trees. All these languages are known to have the same expressive p...
Martin Grohe, Nicole Schweikardt
ICALP
2007
Springer
13 years 10 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
ICALP
2009
Springer
14 years 4 months ago
Universal Succinct Representations of Trees?
Abstract. We consider the succinct representation of ordinal and cardinal trees on the RAM with logarithmic word size. Given a tree T, our representations support the following ope...
Arash Farzan, Rajeev Raman, S. Srinivasa Rao
SODA
2001
ACM
144views Algorithms» more  SODA 2001»
13 years 6 months ago
Representing dynamic binary trees succinctly
We introduce a new updatable representation ofbinary trees. The structure requires the information theoretic minimum 2n + o(n) bits and supports basic navigational operations in c...
J. Ian Munro, Venkatesh Raman, Adam J. Storm