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103
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COMBINATORICS
2007
73views more  COMBINATORICS 2007»
15 years 3 months ago
Using Determining Sets to Distinguish Kneser Graphs
This work introduces the technique of using a carefully chosen determining set to prove the existence of a distinguishing labeling using few labels. A graph G is said to be d-dist...
Michael O. Albertson, Debra L. Boutin
95
Voted
FOCS
2009
IEEE
15 years 10 months ago
Extensions to the Method of Multiplicities, with Applications to Kakeya Sets and Mergers
We extend the “method of multiplicities” to get the following results, of interest in combinatorics and randomness extraction.
Zeev Dvir, Swastik Kopparty, Shubhangi Saraf, Madh...
104
Voted
COCOON
2007
Springer
15 years 9 months ago
Dimension, Halfspaces, and the Density of Hard Sets
We use the connection between resource-bounded dimension and the online mistake-bound model of learning to show that the following classes have polynomial-time dimension zero.
Ryan C. Harkins, John M. Hitchcock
122
Voted
DM
2008
123views more  DM 2008»
15 years 3 months ago
Graphic sequences with a realization containing a generalized friendship graph
: Gould, Jacobson and Lehel (Combinatorics, Graph Theory and Algorithms, Vol.I (1999) 451
Jian-Hua Yin, Gang Chen, John R. Schmitt
125
Voted
COMBINATORICS
2004
90views more  COMBINATORICS 2004»
15 years 3 months ago
Goldberg-Coxeter Construction for 3- and 4-valent Plane Graphs
We consider the Goldberg-Coxeter construction GCk,l(G0) (a generalization of a simplicial subdivision of the dodecahedron considered in [Gold37] and [Cox71]), which produces a pla...
Mathieu Dutour, Michel Deza