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CORR
2006
Springer
77views Education» more  CORR 2006»
13 years 10 months ago
Quantization Bounds on Grassmann Manifolds and Applications to MIMO Communications
This paper considers the quantization problem on the Grassmann manifold Gn,p, the set of all p-dimensional planes (through the origin) in the n-dimensional Euclidean space. The ch...
Wei Dai, Youjian Liu, Brian Rider
GC
2006
Springer
13 years 10 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
JAPLL
2008
101views more  JAPLL 2008»
13 years 10 months ago
Circle graphs and monadic second-order logic
A circle graph is the intersection graph of a set of chords of a circle. If a circle graph is prime for the split (or join) decomposition defined by Cunnigham, it has a unique rep...
Bruno Courcelle
CORR
2007
Springer
162views Education» more  CORR 2007»
13 years 10 months ago
Order-Invariant MSO is Stronger than Counting MSO in the Finite
We compare the expressiveness of two extensions of monadic second-order logic (MSO) over the class of finite structures. The first, counting monadic second-order logic (CMSO), ex...
Tobias Ganzow, Sasha Rubin
NA
2008
78views more  NA 2008»
13 years 10 months ago
A walk through energy, discrepancy, numerical integration and group invariant measures on measurable subsets of euclidean space
(A) The celebrated Gaussian quadrature formula on finite intervals tells us that the Gauss nodes are the zeros of the unique solution of an extremal problem. We announce recent re...
S. B. Damelin