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Branch-and-bound algorithm for computing the minimum stability degree of parameter-dependent linear systems
Branch and bound algorithm linear systems a robust nonlinear and linear system stability the parameters of linear system
2015/8/12
We consider linear systems with unspecified parameters that lie between given upper and lower bounds. Except for a few special cases, the computation of many quantities of interest for such systems ca...
Arithmetical rank of squarefree monomial ideals generated by five elements or with arithmetic degree four
monomial ideal, arithmetical rank, projective dimension
2011/8/24
Abstract: Let $I$ be a squarefree monomial ideal of a polynomial ring $S$. In this paper, we prove that the arithmetical rank of $I$ is equal to the projective dimension of $S/I$ when one of the follo...
Secant Degree of Toric Surfaces and Delightful Planar Toric Degenerations
Toric varieties secant varieties degenerations polytopes
2011/1/20
The k-secant degree is studied with a combinatorial approach. A planar toric degeneration of any projective toric surface X corresponds to a regular unimodular trian-gulation D of the polytope definin...
The Planar Slope Number of Planar Partial 3-Trees of Bounded Degree
graph drawing planar graphs slopes planar slope number
2011/2/22
It is known that every planar graph has a planar embedding where edges are represented by non-crossing straight-line segments. We study the planar slope number, i.e., the minimum number of distinct ed...
A survey of the Poincaré Center Problem in degree 3 using finite field heuristics
survey Poincaré Center Problem degree 3
2011/2/21
We compare a heuristic count of components of the center variety in degree 3 with the equivalent count obtained from known families.From this comparison we conjecture that more than 100 unknown compon...
Geometry of the locus of polynomials of degree 4 with iterative roots
Geometry polynomials iterative roots
2010/11/23
We study polynomial iterative roots of polynomials and describe the locus of complex polynomials of degree 4 admitting a polynomial iterative square root.
Degree growth of monomial maps and McMullen's polytope algebra
monomial maps McMullen's polytope algebra
2010/11/18
We compute all dynamical degrees of monomial maps. Our approach is based on the isomorphism between the polytope algebra of P. McMullen and the universal cohomology of complete toric varieties.
Euler characteristic of the bifurcation set for a polynomial of degree 2 or 3
Euler characteristic the bifurcation set polynomial
2010/11/11
Assume that the coefficients of a polynomial in a complex variable are Laurent polynomials in some complex parameters. The parameter space (a complex torus) splits into strata corresponding to differ...
Subgroup S-commutativity degree of finite groups
Subgroup commutativity degree subgroup S–commutativity degree Sylow subgroups
2010/12/3
In a recent contribution, Tˇarnˇauceanu has introduced the subgroup commutativity degree of a finite group,adapting to the context of the lattice theory some ideas and some techniques, which were know...
Bounding an index by the largest character degree of a solvable group
Index Character Degree p-radical
2010/12/14
In this paper, we show that if p is a prime and G is a p-solvable group, then |G: Op(G)|p (b(G)p/p)1/(p−1) where b(G) is the largest character degree of G. If p is an odd prime that is not a M...
Commutativity degree, its generalizations, and classification of finite groups
Commutativity degree generalizations classification of finite groups
2010/12/14
Classification of finite groups is a central problem in theory of groups.Even though finite abelian groups have been completely classified, a lot still remains to be done as far as non-abelian groups ...
期刊信息
篇名
On four normlized table algebras generated by a faithful nonreal element of degree 3
语种
英文
撰写或编译
撰写
作者
陈贵云,Z.Arad
第一作者单位
西南师范大学
刊物名称
Journal of Algebra, 283:2(2005)
页面
457-484
出版日期
2005年
月
日
文...