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COMBINATORICS
2006
124views more  COMBINATORICS 2006»
15 years 6 months ago
Bounded-Degree Graphs have Arbitrarily Large Geometric Thickness
Abstract. The geometric thickness of a graph G is the minimum integer k such that there is a straight line drawing of G with its edge set partitioned into k plane subgraphs. Eppste...
János Barát, Jirí Matousek, D...
COMBINATORICS
2006
126views more  COMBINATORICS 2006»
15 years 6 months ago
Bounding the Number of Edges in Permutation Graphs
Given an integer s 0 and a permutation Sn, let ,s be the graph on n vertices {1, . . . , n} where two vertices i < j are adjacent if the permutation flips their order and th...
Peter Keevash, Po-Shen Loh, Benny Sudakov
CORR
2006
Springer
137views Education» more  CORR 2006»
15 years 6 months ago
Resettable Zero Knowledge in the Bare Public-Key Model under Standard Assumption
In this paper we resolve an open problem regarding resettable zero knowledge in the bare public-key (BPK for short) model: Does there exist constant round resettable zero knowledg...
Yi Deng, Dongdai Lin
COMBINATORICS
2007
55views more  COMBINATORICS 2007»
15 years 6 months ago
A Note on a Problem of Hilliker and Straus
For a prime p and a vector ¯α = (α1, . . . , αk) ∈ Zk p let f (¯α, p) be the largest n such that in each set A ⊆ Zp of n elements one can find x which has a unique repr...
Miroslawa Janczak
IPM
2008
133views more  IPM 2008»
15 years 6 months ago
Hierarchical summarization for delivering information to mobile devices
Access to information via handheld devices supports decision making away from one's computer. However, limitations include small screens and constrained wireless bandwidth. W...
Jahna Otterbacher, Dragomir R. Radev, Omer Kareem