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ESA
2008
Springer
102views Algorithms» more  ESA 2008»
13 years 9 months ago
Succinct Representations of Arbitrary Graphs
Abstract. We consider the problem of encoding a graph with n vertices and m edges compactly supporting adjacency, neighborhood and degree queries in constant time in the log n-bit ...
Arash Farzan, J. Ian Munro
SODA
2010
ACM
248views Algorithms» more  SODA 2010»
14 years 5 months ago
Approximating the Crossing Number of Graphs Embeddable in Any Orientable Surface
The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an O(n log n) time constant factor approximation al...
Petr Hlineny, Markus Chimani
FOCS
2009
IEEE
14 years 2 months ago
Distance Oracles for Sparse Graphs
Abstract— Thorup and Zwick, in their seminal work, introduced the approximate distance oracle, which is a data structure that answers distance queries in a graph. For any integer...
Christian Sommer 0002, Elad Verbin, Wei Yu
JCO
2007
56views more  JCO 2007»
13 years 7 months ago
An unexpected meeting of four seemingly unrelated problems: graph testing, DNA complex screening, superimposed codes and secure
This paper discusses the relation among four problems: graph testing, DNA complex screening, superimposed codes and secure key distribution. We prove a surprising equivalence relat...
H. B. Chen, Ding-Zhu Du, Frank K. Hwang
ENDM
2007
140views more  ENDM 2007»
13 years 7 months ago
Acyclic dominating partitions
Given a graph G = (V, E), let P be a partition of V . We say that P is dominating if, for each part P of P, the set V \ P is a dominating set in G (equivalently, if every vertex h...
Louigi Addario-Berry, Ross J. Kang