The goal of this paper is to analyze banking regulation in Bosnia and Herzegovina and the progress made by banks in the management of banking risks. Basel Committee on Banking Supervision requires banks to establish a reasonable infrastructure for risk management. This infrastructure should identify, measure, monitor and control the risks that the bank is exposed to their operations. In this sense, the work was carried out research on the management of credit risk, liquidity risk and operational risk in order to gain knowledge about the progress of the banking sector in Bosnia and Herzegovina on the implementation of Basel 2. This paper represents the results of a research carried out on twenty out of thirty planned banks in Bosnia and Herzegovina that were surveyed during 2009, which makes 66.6% of the total sample (or 83.17% of total assets of the banking sector in Bosnia and Herzegovina). Summarized results of the questionnaire also showed further progress of the banks in complying with Basel 2, although it turned out that they often react to developments and changes without the existence of necessary infrastructure and business culture to keep it.

Properties of the Zagreb indices of pseudo-regular graphs are established, with emphasis on the Zagreb indices inequality. The relevance of the results obtained for the theory of nanomolecules is pointed out.

Recently, discrete and variable Adriatic indices have been introduced and it has been shown that the sum α -exdeg index is good predictor (when variable parameter is equal to 0.37 ) of the octanol-water partition coefficient for octane isomers. Here, we study mathematical properties of this descriptor. Namely, we analyze extremal graphs of this descriptor in the following classes: the class of all connected graphs, the class of all trees, the class of all unicyclic graphs, the class of all chemical graphs, the class of all chemical trees, the class of all chemical unicyclic graphs, the class of all graphs with given maximal degree, the class of all graphs with given minimal degree, the class of all trees with given number of pendant vertices, and the class of all connected graphs with given number of pendant vertices. Also, many open problems about variable Adriatic indices are proposed.

In this paper we analyze the set of the variable Adriatic indices. We show that three of these indices show very good predictive properties. Namely, the inverse sum -1.95-deg index is well correlated with the standard enthalpy of formation of octane isomers   2 0.75 R  , the inverse sum 0.43-lodeg index is well correlated with the total surface area of octane isomers   2 0.92 R  and the sum 0.37-exdeg index is well correlated with the octanol-water partition coefficient   2 0.99 R  . (doi: 10.5562/cca1666)

Because of the high energy demand required to heat a production hall, the aim of this project is to find out whether it is possible to verify the heating consuming process for heating with the standard simplified calculation method [1], especially for cold regions such as Kosice (Slovakia). The energy requirement for heating a case study industrial building was evaluated using measurements and calculations.During the winter period, energy consumption was measured in the selected industrial building according to a validation standard [2]. The building is comprised of two halls. The measurements were analyzed according to the criteria used for validating residential and public buildings, with several regression dependencies taken into account in the resulting evaluation of heating energy consumption. The mathematical dependencies of measured values in real conditions are shown in this paper. In addition, the building’s heating energy demand was calculated according to the Austrian standard [3], ONORM EN ISO 13790, the simplified calculation method for non-residential buildings. It was investigated whether the measured values could be replicated using this calculation. It was found that the precise definition of the internal heat gains is very important.