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323.301  Articles
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The relevance of the material stated in the paper is caused by the necessity of forming algorithmic culture which is leading component of professional competence of a future computer science teacher. The aim of the paper is detection of the role of solvin... see more

The relevance of the material stated in the paper is caused by the necessity of forming algorithmic culture which is leading component of professional competence of a future computer science teacher. The aim of the paper is detection of the role of solvin... see more

In general, a universal algorithm for testing a pair of graphs G and H for isomorphism exists. It is grounded on the fact that the rows and the corresponding columns of the adjacency matrix of the graph G can be rearranged until it turns into another, equ... see more

On planar graphs, many classic algorithmic problems enjoy a certain ``square root phenomenon'' and can be solved significantly faster than what is known to be possible on general graphs: for example, Independent Set, 3-Coloring, Hamiltonian Cycle, Dominat... see more

In graph theory, as well as in 3-manifold topology, there exist several width-type parameters to describe how "simple" or "thin" a given graph or 3-manifold is. These parameters, such as pathwidth or treewidth for graphs, or the concept of thin position f... see more

Context. The general problem of constructing logical trees of recognition (classification) in the theory of artificial intelligence is considered in this paper. The object of this study is the concept of the classification tree (a logical and an algorithm... see more

Progress in the medical diagnostic is relentlessly pushing the measurement technology as well with its intertwined mathematical models and solutions. Mathematics has applications to many problems that are vital to human health but not for all. In this art... see more

We introduce a method of constructing classes of graphs by algorithmic removal of entire groups of edges. Our approach to creating new classes of graphs is to focus entirely on the structure and properties of the adjacency matrix. At an initialisation ste... see more

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