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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...
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.
ON THE MODULI SPACE OF POLYGONS IN THE EUCLIDEAN PLANE.
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 ...
Mumford’s Geometric Invariant Theory or GIT is a major technique for finding quotients of algebraic schemes acted upon by reductive algebraic groups.
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...
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 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...
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...
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 ...
We give the generalized triangle inequalities which determine the possible -valued side lengths of n-gons in thick Euclidean buildings of rank 2.

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