Semi-projectable $\ell$-groups

Realization of a Certain Class of Semi-Groups as Value Semi-Groups of Valuations

Projectable Multivariate Wavelets

We demonstrate that many multivariate wavelets are projectable wavelets; that is, they essentially carry the tensor product (separable) structure though themselves may be non-tensor product (nonseparable) wavelets. We show that a projectable wavelet can be replaced by a tensor product wavelet without loss of desirable properties such as spatial localization, smoothness and vanishing moments.

Projectable Semantics for Statecharts

Statecharts is a language for the speciication of reactive systems. Semantics of Statecharts enforcing causality and synchronous hypothesis cannot be modular, and therefore do not allow general bottom-up construction of speciication and reuse of components. In this paper we propose both a global-consistent and a non global-consistent semantics which, in contrast to the known ones, are projectab...

A $2\ell k$ Kernel for $\ell$-Component Order Connectivity

In the `-Component Order Connectivity problem (` ∈ N), we are given a graph G on n vertices, m edges and a non-negative integer k and asks whether there exists a set of vertices S ⊆ V (G) such that |S| ≤ k and the size of the largest connected component in G−S is at most `. In this paper, we give a kernel for `-Component Order Connectivity with at most 2`k vertices that takes nO(`) time for eve...

Some Holomorphic Semi-groups.

W ∗ k = {x ǫX|xǫ Domain (A(a1) . . .A (ak)) for all a1, . . . , akǫA} is dense inX in theweak* topology. Let {e1, . . . , en} be a basis forA and setAi = A(ei), A ∗ i = A(ei). If α = (α1, . . . , αk), 1 ≤ αi ≤ n, is a sequence of integers we denote a product such as Aα1 . . .Aαk byAα; |α| = k is the length ofα. The operatorB ◦ = Σ|α|≤maαAα (the coefficients are complex numbers) is defined on Wm...