240 research outputs found
A New Framework for Join Product Skew
Different types of data skew can result in load imbalance in the context of
parallel joins under the shared nothing architecture. We study one important
type of skew, join product skew (JPS). A static approach based on frequency
classes is proposed which takes for granted the data distribution of join
attribute values. It comes from the observation that the join selectivity can
be expressed as a sum of products of frequencies of the join attribute values.
As a consequence, an appropriate assignment of join sub-tasks, that takes into
consideration the magnitude of the frequency products can alleviate the join
product skew. Motivated by the aforementioned remark, we propose an algorithm,
called Handling Join Product Skew (HJPS), to handle join product skew
Super edge-magic deficiency of join-product graphs
A graph is called \textit{super edge-magic} if there exists a bijective
function from to such
that and is a
constant for every edge of . Furthermore, the \textit{super
edge-magic deficiency} of a graph is either the minimum nonnegative integer
such that is super edge-magic or if there exists no
such integer.
\emph{Join product} of two graphs is their graph union with additional edges
that connect all vertices of the first graph to each vertex of the second
graph. In this paper, we study the super edge-magic deficiencies of a wheel
minus an edge and join products of a path, a star, and a cycle, respectively,
with isolated vertices.Comment: 11 page
Grundy dominating sequences on X-join product
In this paper we study the Grundy domination number on the X-join product G↩R of a graph G and a family of graphs R={Gv:v∈V(G)}. The results led us to extend the few known families of graphs where this parameter can be efficiently computed. We prove that if, for all v∈V(G), the Grundy domination number of Gv is given, and G is a power of a cycle, a power of a path, or a split graph, computing the Grundy domination number of G↩R can be done in polynomial time. In particular, our results for powers of cycles and paths are derived from a polynomial reduction to the Maximum Weight Independent Set problem on these graphs. As a consequence, we derive closed formulas to compute the Grundy domination number of the lexicographic product G∘H when G is a power of a cycle, a power of a path or a split graph, generalizing the results on cycles and paths given by Brešar et al. in 2016. Moreover, our results on the X-join product when G is a split graph also provide polynomial-time algorithms to compute the Grundy domination number for (q,q−4) graphs, partner limited graphs and extended P4-laden graphs, graph classes that are high in the hierarchy of few P4’s graphs.Fil: Nasini, Graciela Leonor. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaFil: Torres, Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentin
On Sequentially Cohen-Macaulay Complexes and Posets
The classes of sequentially Cohen-Macaulay and sequentially homotopy
Cohen-Macaulay complexes and posets are studied. First, some different versions
of the definitions are discussed and the homotopy type is determined. Second,
it is shown how various constructions, such as join, product and rank-selection
preserve these properties. Third, a characterization of sequential
Cohen-Macaulayness for posets is given. Finally, in an appendix we outline
connections with ring-theory and survey some uses of sequential
Cohen-Macaulayness in commutative algebra.Comment: 1 Figur
Super Edge-magic Labeling of Graphs: Deficiency and Maximality
A graph G of order p and size q is called super edge-magic if there exists a bijective function f from V(G) U E(G) to {1, 2, 3, ..., p+q} such that f(x) + f(xy) + f(y) is a constant for every edge and f(V(G)) = {1, 2, 3, ..., p}. The super edge-magic deficiency of a graph G is either the smallest nonnegative integer n such that G U nK_1 is super edge-magic or +~ if there exists no such integer n. In this paper, we study the super edge-magic deficiency of join product graphs. We found a lower bound of the super edge-magic deficiency of join product of any connected graph with isolated vertices and a better upper bound of the super edge-magic deficiency of join product of super edge-magic graphs with isolated vertices. Also, we provide constructions of some maximal graphs, ie. super edge-magic graphs with maximal number of edges
A Multi-Agent based Configuration Process for Mass Customization
Large product variety in mass customization involves a high internal complexity level inside a companyís operations, as well as a high external complexity level from a customerís perspective. In order to reach a competitive advantage through mass customization, it is necessary to cope with both problems. This is done within the scope of variety formation and variety steering tasks: Variety formation supports customers during the configuration task according to their preferences and knowledge, variety steering tasks internally deal with finding the customizerís optimal offer. Driven by this economic background, we present a comprehensive multi-agent based design for a configuration process in this paper. It is identified as a suitable solution approach integrating both perspectives. The mass customized products are assumed to be based on a modular architecture and each module variant is associated with an autonomous rational agent. Agents must compete with each other in order to join product variants which suit real customersí requirements. The negotiation process is based on a market mechanism supported by the target costing concept and a Dutch auction.Multi-agent systems; Configuration process; Market mechanism; Mass Customization
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