Nowadays, finding a suitable solution to the problem of generational change in case of small and medium-size enterprises (SMEs) is becoming increasingly challenging. The aim of this research to investigate whether entering into the stock exchange could be a realistic alternative for Hungarian companies to eliminate this issue. This study reviews the process of Initial Public Offering (IPO) and summarises the advantages and the difficulties of going public. The paper focuses on the opportunities for value creation and saving offered to SMEs by listing on the stock exchange. As primary research on practical experiences, semi-structured in-depth interviews were conducted with the managers of 10 involved companies, and some financial indicators were examined. The research does not cover all relevant companies; however, it is still suitable for drawing a conclusion. The presence on the stock market proved to be useful for the companies and played a significant role in the preservation of the company’s value as well as in financing opportunities. The path demonstrated in this article is suitable for other businesses to follow the pioneers.

It is well known that determining the exact values of crossing number for circulant graphs is very difficult. Even so, some important results in this field are still proved. D.J. Ma was proved that the crossing number of C(2m + 2, m) is m + 1[8]. Then such problem for C(n, 3) was further solved [7]. Pak Tung Ho and X. Lin obtained accurate values for the crossover numbers of C (3m, m) and C (3m + 1, m)[4][5]. In this paper, as a complement, we show that the edges from the principal cycle of C(9, 3) do not cross each other in an optimal drawing.

As a key factor in the macroeconomic process, the interaction between public confidence and the commodity market, especially its impact on commodity facilitation returns and macroeconomic linkages, is worth exploring in depth. This study adopts the TVP-SV-VAR model to analyze the causal linkages, dynamic characteristics, and mechanisms of the interaction, and reveals the following core findings: (1) The economic background and information shocks contribute to the variations in the effects and orientations of the economic variables, which highlight the time-varying nature of the economic interactions. (2) Consumer and investor confidence exert heterogeneous influence on the macroeconomy, and their different responses to the negative effect of interest rates and convenience gains are particularly significant in the post-crisis recovery period. (3) In the short-term perspective, the influence of public confidence on monetary policy and inflation exceeds that in the medium and long term, highlighting the immediate sensitivity of individual economic behavior. (4) Since 2015, accommodative monetary policy has accelerated market capital flows, delaying the interaction between confidence indices and inflation, revealing policy time lag effects. (5) Convenience gains exhibit complex time-varying interactions with key economic parameters (interest rates, commodity prices, and inflation), with 2011 and 2014 displaying particular patterns, mapping differences between short- and long-term mechanisms, respectively. The study highlights the central role of consumer and investor confidence in the precise tailoring of macroeconomic policies, providing a scientific basis for policy forecasting and economic regulation, and contributing to economic stability. Meanwhile, the dynamic evolution of consumer confidence deepens market trend foresight, enhances the precision of market participants’ decision-making, and reinforces the resilience and predictability of economic operations.

This paper aims to understand the local authorities’ reaction to green environment activities towards clean cities in Malaysia and how they respond to cleanliness awareness among the community. Four (4) cities, such as Melaka, Ipoh, and Muar dan Kuala Terengganu, were selected, and this study embarks on a qualitative research approach involving a semi-structured interview with top personnel from four local authorities. From the reaction point of view, some local authorities reacted positively towards the green environment and cleanliness of the city. Four (4) themes have been produced, such as awareness, which focuses on the daily routine of local authorities. Secondly, enforcement from the local government, with some warning and advice, really contributes to the changes in society’s attitude. Thirdly, support by local authority efforts, including awareness campaigns from electronic and printed media, does have a good impact. Lastly, active involvement from the local authorities regulated many communities in residential areas and had direct links with local communities and NGOs that annually organized green program activities. This study urged the Local Government Act 1976, which the local authorities are responsible for the enforcement activities such as the 3Rs (Reduce, Reuse, Recycle) activities and so on. Local authorities, state governments, and local communities should also help monitor and maintain environmental issues towards a clean city in Malaysia.

What is “truth”? This is the main philosophical question that many of the contemporary philosophical theories (e.g., consistency theory, correspondence theory, semiotics, and pragmatism) tried to investigate over the past decades. However, these theories mostly approached “truth” from logical and epistemological perspectives. On the other hand, Santayana’s theory of truth embarks in a different direction. His perspective was laid out in his book “The Realm of Truth”, which is considered one of the parts of his seminal work “The Realms of Being”. Santayana's theory of truth founded on the “critical realism” to which he belongs, and thus his approach was “realistic” or “ontological”. The novelty of Santayana's theory of truth is that it brings the “theory of truth” out of the fields of logic, epistemology, and philosophies of language, and into the field of being, ontology, or the realm of lived experience. In this paper we introduce an analytical and critical account of Santayana's theory of truth, and its moving from logic to realism.

Since the proposal of the low-carbon economy plan, all countries have deeply realized that the economic model of high energy and high emission poses a threat to human life. Therefore, in order to enable the economy to have a longer-term development and comply with international low-carbon policies, enterprises need to speed up the transformation from a high-carbon to a low-carbon economy. Unfortunately, due to the massive volume of data, developing a low-carbon economic enterprise management model might be challenging, and there is no way to get more precise forecast data. This study tackles the challenge of developing a low-carbon enterprise management mode based on the grey digital paradigm, with the aim of finding solutions to these issues. This paper adopts the method of grey digital model, analyzes the strategy of the enterprise to build the model, and makes a comparative experiment on the accuracy and performance of the model in this paper. The results show that the values of MAPE, MSE and MAE of the model in this paper are the lowest. And the r^2 of the model in this paper is also the highest. The MAPE value of the model in this paper is 0.275, the MSE is 0.001, and the MAE is 0.003. These three indicators are much lower than other models, indicating that the model has high prediction accuracy. r² is 0.9997, which is much higher than other models, indicating that the performance of this model is superior. With the support of this model, the efficiency of building an enterprise model has been effectively improved. As a result, developing an enterprise management model for the low-carbon economy based on the gray numerical model can offer businesses new perspectives into how to quicken the shift to the low-carbon economy.