Abstract:
The aim of this paper is to present general remarks of the legal structure of the Polish reorganization law. This is a completely new institution in Poland. The Act of 28 February 2003 the Bankruptcy and Reorganization Law (J.L. No 60, item 535 as amended), the articles 492 - 521 b.r.l. is the main source of law in the commented matter. The idea of the Polish regulation derives from the Chapter 11 of the Bankruptcy Code of the United States. The statistics of the usage of the reorganization proceedings in Poland are not very impressive. In this respect some critics maintain that the legislative experiment called “reorganization proceedings” is unsuccessful. Nevertheless the Reorganization Law is a very important figure in the Polish commercial law. Reorganization proceedings seriously differ from bankruptcy proceedings

Abstract:
We prove a sharp Ore-type criterion for hamiltonicity of balanced bipartite digraphs: A bipartite digraph D, with colour classes of cardinality N, is hamiltonian if, for every pair of vertices u and v from opposite colour classes of D such that the arc uv is not in D, the sum of the outdegree of u and the indegree of v is greater than or equal to N+2.

Abstract:
We prove a sharp Meyniel-type criterion for hamiltonicity of a balanced bipartite digraph: For k greater than or equal to 2, a bipartite digraph D with colour classes of cardinalities k is hamiltonian if the sum of degrees of vertices u and v is at least 3k+1 for every pair of vertices u, v such that D does not contain the arc uv nor vu. As a consequence, we obtain a sharp sufficient condition for hamiltonicity in terms of the minimal degree: a balanced bipartite digraph D on 2k vertices is hamiltonian if its minimal degree is at least (3k + 1)/2.

Abstract:
A well-known theorem of Entringer and Schmeichel asserts that a balanced bipartite graph of order $2n$ obtained from the complete balanced bipartite $K_{n,n}$ by removing at most $n-2$ edges, is bipancyclic. We prove an analogous result for balanced tripartite graphs: If $G$ is a balanced tripartite graph of order $3n$ and size at least $3n^2-2n+2$, then $G$ contains cycles of all lengths.

Abstract:
Purpose: of this paper is to present some technological problems with forming of the titanium implants and medical tools by the plastic working methods.Design/methodology/approach: Application of the new biomaterials such as titanium alloys needs to carry on tests on optimisation of the methods and parameters of the plastic working, therefore some experiments in order to determine the friction coefficient or analyse the influence of the cutting methods on the cut-surface appearance were done.Findings: As far as stamping is concerned, it was found that the proper lubrication not only decreases frictional resistance but also limits or even completely eliminates creation of the titanium “build-ups” on the tools. As far as cutting methods are concerned, the cut-surface significantly depends on the applied cutting method. Guillotining, laser and abrasive waterjet cutting were taken into consideration. Guillotining and laser cutting influence the titanium microstructure mostly. Abrasive waterjet cutting does not cause any changes in microstructure.Research limitations/implications: An application for the implants almost unworkable biomaterials, such as titanium alloys, needs overcoming many technological barriers such as proper selection of the lubricant, deformation temperature, strain velocity etc. Moreover, titanium belongs to the very expensive materials, so material costs are the main research limitation.Practical implications: The investigations of the friction coefficient or the influence of the cutting method on the cut-surface quality are important for producing both implants and surgical tools by such methods as: cutting, blanking, bending, stamping, etc.Originality/value: There are only a very few works on the sheet-metal forming processes of the titanium alloys, so each new information on the titanium deformation is valuable.

Abstract:
Job within organization can be discussed in the context of its quantity possible to do, quality re-sulting from its difficulty level and effect achieved by the employee that is effects of his work. To measure job from a quantitative point of view we use work norms as a function of time standards, products quantity or service level.It is much more difficult to measure qualitative job parameters than measuring quantity of job and its effects. In the literature we know several methods to job evaluation. However, none of them de-termines precisely the value of individual job evaluation within organization. The paper aims to develop a new method to measure and assess qualitative parameters of job in a simple, transparent, universal and timeless way. When evaluating a given feature, factor, object, subject we weight various quality and quantity criteria relative to an accepted pattern or value in a given organization, society or culture.Weight (priorities) determined based on comparisons designate relative value of a comparative factor. Building a system of job evaluation in the organization 7. synthetic criteria were taken: kno-wledge, experience, wisdom, psychological and physical effort, intellectual effort, responsibility and cooperation. Each synthetic criterion was given a few analytical criteria, which in turn was assigned a verbal, adjective level of intensity. To solve the problem we used a multicriterial problem solution me-thod AHP (Analytic Hierarchy Process). By pairwise comparison of each synthetic criteria (on a verbal scale) in relation to job quality in the Saaty’s fundamental scale we arrived a weight comparison matrix (priorities) within the range [> 0, <1]. A sum of weights from comparisons of all synthetic criteria is equal to one. Next, the same scale was used for comparisons of analytical criteria (sub-criteria) and their values in relation to particular synthetic criteria. Each analytical criterion was given weight (priority) resulting from comparisons, their total sum for each synthetic criterion is also equal to one. Next, each analytical sub-criterion in the system of work quality assessment was assigned adjectival level of intensity, also in a numerical scale calculated from a matrix of verbal adjectival comparison scale. The sum of those weights is also equal to 1.Our method differs form all its predecessors by the fact that a final weight (priority) for a given analytical factor is a multiplicative value transferring values from synthetic criteria onto analytical, those in turn into point assessments. Certain interdependencies be

Abstract:
We conjecture that a 2-connected graph $G$ of order $n$, in which $d(x)+d(y)\geq n-k$ for every pair of non-adjacent vertices $x$ and $y$, contains a cycle of length $n-k$ ($k

Abstract:
It is shown that a hamiltonian $n/2$-regular bipartite graph $G$ of order $2n>8$ contains a cycle of length $2n-2$. Moreover, if such a cycle can be chosen to omit a pair of adjacent vertices, then $G$ is bipancyclic.

Abstract:
We prove that a strongly connected balanced bipartite digraph $D$ of order $2a$ is hamiltonian, provided $a\geq3$ and $d(x)+d(y)\geq 3a$ for every pair of vertices $x$, $y$ with a common in-neighbour or a common out-neighbour in $D$.

Abstract:
Given a set E in a complex space and a point p in E, there is a unique smallest complex-analytic germ containing the germ of E at p, called the holomorphic closure of E at p. We study the holomorphic closure of semialgebraic arc-symmetric sets. Our main application concerns CR-continuation of semialgebraic arc-analytic mappings: A mapping f on a real-analytic CR manifold M which is semialgebraic arc-analytic and CR on a non-empty open subset of M is CR on the whole M.