Bratislava, Slovakia
Bratislava, Slovakia

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Nehez M.,Gratex International | Olejar D.,Comenius University | Demetrian M.,Comenius University
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) | Year: 2012

A subset of nodes S ⊆ V of a graph G = (V, E) is a dominating clique if S is a dominating set and a clique of G. The phase transition of dominating cliques in Erdös-Rényi random graph model double-struck G(n,p) is investigated in this paper. Lower and upper bounds on the edge probability p for the existence of an r-node dominating clique are established in this paper. We prove therein that given an n-node random graph G from double-struck G(n,p) for r = clog 1/pn with 1 ≤ c ≤ 2 it holds: (1) if p > 1/2 then an r-clique is dominating in G with a high probability and, (2) if p ≤ (3-√5)/2 then an r-clique is not dominating in G with a high probability. The remaining range of the probability p is discussed with more attention. Within such a range, we provide intervals of r where a dominating clique existence probability is zero, positive but less than one, and one, respectively. © 2012 Springer-Verlag.


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Gratex International | Date: 2013-02-25

Software (recorded programs). Data search in computer files (for others). Insurance information; insurance consultancy; actuarial services; advice relating to insurance. Physical storage of electronically-stored data or documents. Updating of software; graphic design services; hosting of computer sites (websites); software installation; computer system design; computer data recovery; programming for computers; duplication of computer programs; consultancy relating to computers; computer rental; rental of computer software; conversion of computer programs and data (not physical conversion); conversion of data or documents from physical to electronic media; research relating to computer use; computer software maintenance; software development (design); creating and maintaining web sites for others.


Polasek I.,Slovak University of Technology in Bratislava | Ruttkay-Nedecky I.,Gratex International | Ruttkay-Nedecky P.,Gratex International | Toth T.,Gratex International | And 2 more authors.
Acta Polytechnica Hungarica | Year: 2013

This paper proposes information and knowledge mining in the source code of medium and large enterprise projects. Our methods try to recognize structures and types of source code, identify authors and users to enhance collaborative programming, and support knowledge management in software companies. Developers within and outside the teams can receive and utilize visualized information from the code and apply it to their projects. This new level of aggregated 3D visualization improves refactoring, source code reusing, implementing new features and exchanging knowledge.


Trademark
Gratex International | Date: 2013-02-25

Software (recorded programs). Data search in computer files (for others). Insurance information; insurance consultancy; actuarial services; advice relating to insurance. Physical storage of electronically-stored data or documents. Updating of software; graphic design services; hosting of computer sites (websites); software installation; computer system design; computer data recovery; programming for computers; duplication of computer programs; consultancy relating to computers; computer rental; rental of computer software; conversion of computer programs and data (not physical conversion); conversion of data or documents from physical to electronic media; research relating to computer use; computer software maintenance; software development (design); creating and maintaining web sites for others.

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