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ISAAC
2005
Springer
123views Algorithms» more  ISAAC 2005»
14 years 1 months ago
Sampling Unlabeled Biconnected Planar Graphs
We present an expected polynomial time algorithm to generate a 2-connected unlabeled planar graph uniformly at random. To do this we first derive recurrence formulas to count the ...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
CORR
2010
Springer
119views Education» more  CORR 2010»
13 years 7 months ago
Graph-Constrained Group Testing
Non-adaptive group testing involves grouping arbitrary subsets of n items into different pools. Each pool is then tested and defective items are identified. A fundamental question...
Mahdi Cheraghchi, Amin Karbasi, Soheil Mohajer, Ve...
GC
2006
Springer
13 years 7 months ago
The Semi-Arc Automorphism Group of a Graph with Application to Map Enumeration
A map is a connected topological graph cellularly embedded in a surface. For a given graph , its genus distribution of rooted maps and embeddings on orientable and non-orientable s...
Linfan Mao, Yanpei Liu, Erling Wei
IPL
2006
95views more  IPL 2006»
13 years 7 months ago
Smaller superconcentrators of density 28
An N-superconcentrator is a directed, acyclic graph with N input nodes and N output nodes such that every subset of the inputs and every subset of the outputs of same cardinality ...
Uwe Schöning
STOC
1993
ACM
109views Algorithms» more  STOC 1993»
13 years 11 months ago
Routing permutations on graphs via matchings
We consider a class of routing problems on connected graphs G. Initially, each vertex v of G is occupied by a “pebble” which has a unique destination π(v) in G (so that π is...
Noga Alon, Fan R. K. Chung, Ronald L. Graham