The tuple space coordination model, originally introduced in the Linda programming language [2], uses a shared memory object called a tuple space to support coordination that is decoupled both in time – processes do not have to be active at the same time – and space – processes do not need to know each others’ addresses. The tuple space can be considered to be a kind of storage that stores tupl...

A k-tuple coloring of a graph G assigns a set of k colors to each vertex of G such that if two vertices are adjacent, the corresponding sets of colors are disjoint. The k-tuple chromatic number of G, χk(G), is the smallest t so that there is a k-tuple coloring of G using t colors. It is well known that χ(G2H) = max{χ(G), χ(H)}. In this paper, we show that there exist graphs G and H such that χk...

This report provides the formalization of DEECo concepts and operational semantic of DEECo systems. Further, it establishes the refinement relation and shows the centralized tuple space semantics (as featured by local and Apache River-based knowledge providers in jDEECo). Version: March 2nd, 2013 This work was partially supported by the Grant Agency of the Czech Republic project P202/11/0312. T...

Let k ≥ 1 be an integer and G a graph of minimum degree δ ( ) − 1. A set D ⊆ V is said to -tuple dominating if | N [ v ] ∩ for every vertex ∈ ), where represents the closed neighbourhood . The cardinality among all sets domination number In this paper, we continue with study classical parameter in graphs. particular, provide some relationships that exist between other parameters, like multiple ...

 Let $R$ be a commutative ring and $M$ be an $R$-module with $T(M)$ as subset, the set of torsion elements. The total graph of the module denoted by $T(Gamma(M))$, is the (undirected) graph with all elements of $M$ as vertices, and for distinct elements $n,m in M$, the vertices $n$ and $m$ are adjacent if and only if $n+m in T(M)$. In this paper we study the domination number of $T(Gamma(M))$ a...

We consider the problem of estimating the unknown response function in the multichannel deconvolution model with a boxcar-like kernel which is of particular interest in signal processing. It is known that, when the number of channels is finite, the precision of reconstruction of the response function increases as the number of channels M grow (even when the total number of observations n for al...

Coordination of mobile applications posses a number of issues. Devices should be able to communicate with each other without being connected with each other at the same time while maintaining privacy and limited network traffic. Current tuple based approaches solve these issues partially but none of them solves all of them. We propose a novel tuple space-based approach where tuple spaces are an...