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The Effect of Service Clusters on the Sustainable Economic Development

Abstract

Clusterization has been named as one of the priorities of the development strategy of many European Union countries. Clusterization experts have already hypothesized that clusters of various economic activities are important not only in the formation of regional policy, but they also in a complex way stimulate the whole country’s economic growth from job creation to the development of intellectual property to new innovative industries. These realities show that cluster activity and its results are important not only for cluster participants, but also for the economy of the country in which clusters operate. However, there are currently no reliable and effective tools to validate this hypothesis. In the analysis of the problem and in order to deepen the theoretical knowledge of the object under study, this paper analyses and summarizes systematic, logical and comparative scientific literature, scientific studies, strategic documents and legal acts. Therefore, the purpose of this paper is to provide a theoretical overview of the currently available knowledge on service clusterization and sustainable economic development, to demonstrate the acute absence of relevant theoretical foundations and linkages that would allow to analyse these phenomena, and propose a methodological approach that would allow to expand this field of study.

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Tests for the Presence of Price Convergence on Residential Property Market in Several Districts of Szczecin in 2006–2009

Abstract

Neighbouring local property markets are not separate realities. They influence one another and create an interrelated system of supply and demand. Some of these interrelations are convergent, while others result in contradictory trends on the markets. Convergence is a term denoting a process of some phenomena approaching its normative level. Tests for the presence of convergence help to assess if the objects under observation show resemblance in the context of the observed phenomenon, and to find out how long it takes for this resemblance to be complete. In this paper, I propose the application of methods normally used in tests for convergence for the purpose of the analysis of trends of the average residential property prices in some districts in Szczecin over the time range of 2006–2009, that is during the housing bubble on the residential property market. The study will provide information if such a market phase encourages price convergence.

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Matchings Extend to Hamiltonian Cycles in 5-Cube

Abstract

Ruskey and Savage asked the following question: Does every matching in a hypercube Qn for n ≥ 2 extend to a Hamiltonian cycle of Qn? Fink confirmed that every perfect matching can be extended to a Hamiltonian cycle of Qn, thus solved Kreweras’ conjecture. Also, Fink pointed out that every matching can be extended to a Hamiltonian cycle of Qn for n ∈ {2, 3, 4}. In this paper, we prove that every matching in Q 5 can be extended to a Hamiltonian cycle of Q 5.

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Knowledge Management Components and Their Impact on Work Engagement of Employees

Abstract

In light of globalization and modern business, companies are typically exposed to challenges caused by unpredictable and complex competitive environments. The business environment, with global trends and stringent competition in the world market, now faces significant changes that companies should introduce into their current business operations. Among them, the human resource management of knowledge employees has become extremely important. The main aim of this article is to establish the impact of components of knowledge management on work engagement of employees in Slovenian companies. In the empirical part of the research, a sample of 112 Slovenian companies was obtained. Senior managers of companies and their employees were surveyed, using the questionnaire developed based on existing measurement scales. The results will help us to better understand the importance of knowledge management in Slovenian companies and its importance as a business strategy that must be fully integrated within all of the employees’ related processes of the company.

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Application Of Rating Scale Model In Conversion Of Rating Scales' Points To The Form Of Triangular Fuzzy Numbers

Abstract

A new application of fuzzy sets theory in social and economic research is a fuzzy measurement of respondents' opinions. In the subject literature fuzzy rating scales or fuzzy conversion scales are being applied. In this second case, a key stage is a choice of such parameters' values of fuzzy numbers which will best illustrate the perception of linguistic values constituting points of measurement scales.

In the construction of fuzzy conversion scales the item response theory models can find an application. The transformation method of verbal categories to the form of triangular fuzzy numbers with the application of rating scale model was proposed in this article. Usefulness of a suggested approach was introduced on the basis of the analysis of selected research results on inhabitants' quality of life in one of the Lower Silesian Voivodship districts. The analysis results showed big ambiguity of particular verbal categories and, in consequence, the validity of fuzzy conversion scales application.

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A Fan-Type Heavy Pair Of Subgraphs For Pancyclicity Of 2-Connected Graphs

Abstract

Let G be a graph on n vertices and let H be a given graph. We say that G is pancyclic, if it contains cycles of all lengths from 3 up to n, and that it is H-f 1-heavy, if for every induced subgraph K of G isomorphic to H and every two vertices u, vV (K), dK(u, v) = 2 implies min{dG(u),dG(v)}n+12 . In this paper we prove that every 2-connected {K 1,3, P 5}-f 1-heavy graph is pancyclic. This result completes the answer to the problem of finding f 1-heavy pairs of subgraphs implying pancyclicity of 2-connected graphs.

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Heavy Subgraphs, Stability and Hamiltonicity

Abstract

Let G be a graph. Adopting the terminology of Broersma et al. and Čada, respectively, we say that G is 2-heavy if every induced claw (K 1,3) of G contains two end-vertices each one has degree at least |V (G)|/2; and G is o-heavy if every induced claw of G contains two end-vertices with degree sum at least |V (G)| in G. In this paper, we introduce a new concept, and say that G is S-c-heavy if for a given graph S and every induced subgraph G′ of G isomorphic to S and every maximal clique C of G′, every non-trivial component of G C contains a vertex of degree at least |V (G)|/2 in G. Our original motivation is a theorem of Hu from 1999 that can be stated, in terms of this concept, as every 2-connected 2-heavy and N-c-heavy graph is hamiltonian, where N is the graph obtained from a triangle by adding three disjoint pendant edges. In this paper, we will characterize all connected graphs S such that every 2-connected o-heavy and S-c-heavy graph is hamiltonian. Our work results in a different proof of a stronger version of Hu’s theorem. Furthermore, our main result improves or extends several previous results.

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Dense Arbitrarily Partitionable Graphs

Abstract

A graph G of order n is called arbitrarily partitionable (AP for short) if, for every sequence (n 1, . . . , nk) of positive integers with n 1 + ⋯ + nk = n, there exists a partition (V 1, . . . , Vk) of the vertex set V (G) such that Vi induces a connected subgraph of order ni for i = 1, . . . , k. In this paper we show that every connected graph G of order n ≥ 22 and with G>(n42)+12 edges is AP or belongs to few classes of exceptional graphs.

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On q-Power Cycles in Cubic Graphs

Abstract

In the context of a conjecture of Erdős and Gyárfás, we consider, for any q ≥ 2, the existence of q-power cycles (i.e., with length a power of q) in cubic graphs. We exhibit constructions showing that, for every q ≥ 3, there exist arbitrarily large cubic graphs with no q-power cycles. Concerning the remaining case q = 2 (which corresponds to the conjecture of Erdős and Gyárfás), we show that there exist arbitrarily large cubic graphs whose all 2-power cycles have length 4 only, or 8 only.

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Influence of Feature Selection Methods on Classification Sensitivity Based on the Example of A Study of Polish Voivodship Tourist Attractiveness

Abstract

The purpose of this article is to determine the influence of various methods of selection of diagnostic features on the sensitivity of classification. Three options of feature selection are presented: a parametric feature selection method with a sum (option I), a median of the correlation coefficients matrix column elements (option II) and the method of a reversed matrix (option III). Efficiency of the groupings was verified by the indicators of homogeneity, heterogeneity and the correctness of grouping. In the assessment of group efficiency the approach with the Weber median was used. The undertaken problem was illustrated with a research into the tourist attractiveness of voivodships in Poland in 2011.

Open access