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MST
2011
231views Hardware» more  MST 2011»
13 years 20 days ago
On the Complexity of Matroid Isomorphism Problem
We study the complexity of testing if two given matroids are isomorphic. The problem is easily seen to be in Σ p 2. In the case of linear matroids, which are represented over pol...
B. V. Raghavendra Rao, Jayalal M. N. Sarma
DCG
2006
68views more  DCG 2006»
13 years 9 months ago
The Stirling Polynomial of a Simplicial Complex
We introduce a new encoding of the face numbers of a simplicial complex, its Stirling polynomial, that has a simple expression obtained by multiplying each face number with an app...
Gábor Hetyei
IFIP
2004
Springer
14 years 3 months ago
Tailoring Recursion to Characterize Non-Deterministic Complexity Classes over Arbitrary Structures
We provide machine-independent characterizations of some complexity classes, over an arbitrary structure, in the model of computation proposed by L. Blum, M. Shub and S. Smale. We ...
Olivier Bournez, Felipe Cucker, Paulin Jacob&eacut...
IANDC
2006
83views more  IANDC 2006»
13 years 9 months ago
Implicit complexity over an arbitrary structure: Quantifier alternations
We provide machine-independent characterizations of some complexity classes, over an arbitrary structure, in the model of computation proposed by L. Blum, M. Shub and S. Smale. We...
Olivier Bournez, Felipe Cucker, Paulin Jacob&eacut...
JC
2008
77views more  JC 2008»
13 years 9 months ago
A numerical algorithm for zero counting, I: Complexity and accuracy
We describe an algorithm to count the number of distinct real zeros of a polynomial (square) system f. The algorithm performs O(log(nD(f))) iterations (grid refinements) where n is...
Felipe Cucker, Teresa Krick, Gregorio Malajovich, ...