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» On the Complexity of the Interlace Polynomial
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CSR
2009
Springer
15 years 4 months ago
On the Complexity of Matroid Isomorphism Problems
We study the complexity of testing if two given matroids are isomorphic. The problem is easily seen to be in Σp 2 . In the case of linear matroids, which are represented over poly...
B. V. Raghavendra Rao, Jayalal M. N. Sarma
JC
2006
105views more  JC 2006»
14 years 10 months ago
On the complexity of the resolvent representation of some prime differential ideals
We prove upper bounds on the order and degree of the polynomials involved in a resolvent representation of the prime differential ideal associated with a polynomial differential s...
Lisi D'Alfonso, Gabriela Jeronimo, Pablo Solern&oa...
SIAMMAX
2010
103views more  SIAMMAX 2010»
14 years 4 months ago
On Chebyshev Polynomials of Matrices
The mth Chebyshev polynomial of a square matrix A is the monic polynomial that minimizes the matrix 2-norm of p(A) over all monic polynomials p(z) of degree m. This polynomial is u...
Vance Faber, Jörg Liesen, Petr Tichý
COCOA
2011
Springer
13 years 9 months ago
The Complexity of Testing Monomials in Multivariate Polynomials
The work in this paper is to initiate a theory of testing monomials in multivariate polynomials. The central question is to ask whether a polynomial represented by certain economi...
Zhixiang Chen, Bin Fu
ISSAC
2005
Springer
115views Mathematics» more  ISSAC 2005»
15 years 3 months ago
On the complexity of factoring bivariate supersparse (Lacunary) polynomials
We present algorithms that compute the linear and quadratic factors of supersparse (lacunary) bivariate polynomials over the rational numbers in polynomial-time in the input size....
Erich Kaltofen, Pascal Koiran