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增广立方体的分支连通度
容错性 增广立方体 分支连通度
2022/3/15
主要证明了当n≥4时,增广立方体AQn的3-分支连通度是4n-6，以及当n≥9时,增广立方体AQn的4-分支连通度是6n-12。
Scalable frames are frames with the property that the frame vectors can be rescaled resulting in tight frames. However, if a frame is not scalable, one has to aim for an approximate procedure. For thi...
The Toric Geometry of Triangulated Polygons in Euclidean Space
Toric Geometry Triangulated Polygons Euclidean Space
2015/10/14
Speyer and Sturmfels associated Grobner toric degenerations Gr¨2(Cn)T of Gr2(Cn) witheach trivalent tree T having n leaves. These degenerations induce toric degenerations Mr T of Mr, the space of n or...
The Symplectic Geometry of Polygons in Euclidean Space
Symplectic Geometry Polygons Euclidean Space
2015/10/14
The Symplectic Geometry of Polygons in Euclidean Space.
ON THE MODULI SPACE OF POLYGONS IN THE EUCLIDEAN PLANE
MODULI SPACE POLYGONS EUCLIDEAN PLANE
2015/10/14
ON THE MODULI SPACE OF POLYGONS IN THE EUCLIDEAN PLANE.
Sections hyperplanes à singularités simples et exemples de variations de structure de Hodge
Sections hyperplanes à singularités exemples de variations de structure de Hodge
2011/1/20
We construct smooth complex projective varieties of dimension 3 to 6 with variations of Hodge structure, by generalizing an example of J. Carlson and C. Simpson in dimension 2. Then, we study some of ...
Geometric Reductivity--A Quotient Space Approach
Geometric Reductivity Quotient Space Approach
2011/1/17
Mumford’s Geometric Invariant Theory or GIT is a major technique for finding quotients of algebraic schemes acted upon by reductive algebraic groups.
Balanced realizations of discrete-time stable all-pass systems and the tangential Schur algorithm
Balanced realizations of discrete-time stable all-pass systems tangential Schur algorithm
2011/2/21
In this paper, the connections are investigated between two different approaches towards
the parametrization of multivariable stable all-pass systems in discrete-time. The first approach involves the...
Rotational Linear Weingarten Surfaces into the Euclidean Sphere
Rotational surfaces Linear Weingarten surfaces
2011/2/24
The aim of this paper is to present a complete description of all linear rotational Weingarten surface into the Euclidean sphere S3. These surfaces are characterized by a linear relation aH+bK = c, wh...
The Fischer decomposition for Hodge-de Rham systems in Euclidean spaces
Fischer decomposition Clifford analysis Hodge-de Rham equation spherical monogenics
2011/2/25
The classical Fischer decomposition of spinor-valued polynomials is a key result on solutions of the Dirac equation in the Euclidean space Rm.As is well-known, it can be understood as an irreducible d...
This is a survey on nondiscrete euclidean buildings, with a focus on metric properties of these spaces.
A finite set X in some Euclidean space Rn is called Ramsey if for any k there is a d such that whenever Rd is k-coloured it contains a monochromatic set congruent to X. This notion was introduced by E...
Hypersurfaces with small extrinsic radius or large $\lambda_1$ in Euclidean spaces
Mean curvature Reilly inequality Laplacian Spectrum pinching results
2010/12/3
We prove that hypersurfaces of Rn+1 which are almost extremal for the
Reilly inequality on 1 and have Lp-bounded mean curvature (p > n) are Hausdorff close to a sphere, have almost constant mean cur...
On the local structure and the homology of CAT$(\kappa)$ spaces and euclidean buildings
local structure CAT$(\kappa)$ spaces euclidean buildings
2010/12/7
We prove that every open subset of a euclidean building is a finite dimensional absolute neighborhood retract. This implies in particular that such a set has the homotopy type of a finite dimensional ...
Generalized triangle inequalities in thick Euclidean buildings of rank 2
Generalized triangle inequalities thick Euclidean buildings of rank 2
2010/12/1
We give the generalized triangle inequalities which determine the possible -valued side lengths of n-gons in thick Euclidean buildings of rank 2.