Application of the four colour theorem to identify regional poles and main lines of economic growth

Aleksander Jakimowicz 1Daniel A. Rzeczkowski 2

1. Polish Academy of Sciences, Institute of Economics (INEPAN), 1 Defilad Sq., Warsaw 00-901, Poland
2. University of Warmia and Mazury in Olsztyn, Department of Quantitative Methods (UWM), M. Oczapowskiego 4, Olsztyn 10-719, Poland

Abstract

This paper presents a method for identifying regional poles and the main lines of growth based on the following foundations: four colour theorem, wikinomics business model in the form of platforms for participation, evaluation of the functionality of websites run by public administration municipal offices and dual graph reduction. The province of Warmia and Mazury, which is the subject of the study, is one of the poorest provinces in Poland in terms of economic development. It is therefore natural that the growth of this region requires external enterprise sources. This role can be best performed primarily by websites run by municipal offices, which initiate business activity in their corresponding areas, and consequently, can be regarded as wikinomics platforms of participation. Using the k-means clustering method, these websites were divided into four separate quality classes. These classes were assigned four various colours, which were subsequently used for preparing the map of the province. Each municipality was marked with a colour corresponding to the quality class of the website run by the state administration unit operating in a given area. The system of colours resulting from the four colour theorem and a corresponding dual graph serve as a frame of reference with regard to each empirical colour distribution and to another, related, dual graph. Thus, the four colour theorem describes the largest diversity of regional growth poles. The measure of the economic growth of the region is a degree of reduction of the dual graph corresponding to the empirical colour distribution, which identifies actual growth poles and determines the main lines of growth. The ultimate development objective, although not always achievable, is a reduction of the dual graph to a single node, when all municipal offices in the province have websites of the highest quality.

 

Related papers
  1. Logistic map in economics
  2. Determinants of mass poverty in the contemporary global economy
  3. The mechanism of transformation of global business cycles into dynamics of regional real estate markets
  4. Prosumption in the public administration sector
  5. Econophysics as a new school of economic thought: twenty years of research
  6. Basic sources of economic complexity
  7. Stability of the Cournot-Nash equilibrium in standard oligopoly models
  8. Vortex stabilization of market equilibrium in theory and in practice of economics
  9. Deterministic chaos and catastrophes in business cycle theory

Presentation: Poster at Econophysics Colloquium 2017, Symposium A, by Aleksander Jakimowicz
See On-line Journal of Econophysics Colloquium 2017

Submitted: 2017-03-12 13:27
Revised:   2017-03-12 13:30