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127
Voted
SODA
2010
ACM
200views Algorithms» more  SODA 2010»
15 years 10 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
105
Voted
CSL
2003
Springer
15 years 6 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
99
Voted
ICALP
2007
Springer
15 years 7 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
16 years 1 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
96
Voted
SODA
2001
ACM
144views Algorithms» more  SODA 2001»
15 years 2 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