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» Compressing Bounded Degree Graphs
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JAIR
1998
92views more  JAIR 1998»
14 years 9 months ago
The Gn, m Phase Transition is Not Hard for the Hamiltonian Cycle Problem
Using an improved backtrack algorithm with sophisticated pruning techniques, we revise previous observations correlating a high frequency of hard to solve Hamiltonian cycle instan...
Basil Vandegriend, Joseph C. Culberson
70
Voted
ISAAC
2007
Springer
124views Algorithms» more  ISAAC 2007»
15 years 3 months ago
Approximating the Crossing Number of Toroidal Graphs
Abstract. CrossingNumber is one of the most challenging algorithmic problems in topological graph theory, with applications to graph drawing and VLSI layout. No polynomial time con...
Petr Hlinený, Gelasio Salazar
SODA
2010
ACM
248views Algorithms» more  SODA 2010»
15 years 7 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
103
Voted
ISITA
2010
14 years 4 months ago
Optimality of LDGM-LDPC compound codes for lossy compression of binary erasure source
We consider the Binary Erasure Source (BES) introduced by Martinian and Yedidia. Based on the technique introduced by Martinian and Wainwright, we upper bound the rate-distortion p...
Gregory Demay, Vishwambhar Rathi, Lars K. Rasmusse...
INFOCOM
2011
IEEE
14 years 1 months ago
Approximate distance queries and compact routing in sparse graphs
—An approximate distance query data structure is a compact representation of a graph, and can be queried to approximate shortest paths between any pair of vertices. Any such data...
Rachit Agarwal, Philip Brighten Godfrey, Sariel Ha...