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Cybernetics And Systems Analysis
International Theoretical Science Journal
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UDC 519.172.1
A.I. Ivaneshkin1


1 International Scientific and Training Center of Information Technologies and Systems, National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Kyiv, Ukraine

al.ivaneshkin@gmail.com

UNDIRECTED MIXED-FOREST GRAPHS. CONSTRUCTION
OF ISOMORPHIC ANALOGS AND SELECTIVE STRUCTURE PACKING

Abstract. Methods and algorithms have been developed that have made it possible to significantly expand the functionality and scope of the new universal information software technology being created. All of them are implemented in 32 software modules and are designed for the most efficient construction of isomorphic analogs of the undirected mixed-forest graphs of arbitrary structure and simultaneous removal of selectively chosen sets of nodes and branches from them. To work effectively on objects containing up to 65,536 nodes, which can be placed on 6400 virtual X-levels of the monitor screen, the technology requires only 4 bytes of information for each node, taking into account its number, which is a natural number from the interval [0; 65535]. A method has been developed and implemented that allows adapting the technology to work with objects with up to 4⋅1019 nodes that it can recognize.

Keywords: graph tree, undirected tree, sapling, mixed forest, set of software tools.


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REFERENCES

  1. Ivaneshkin A.I. Universal information software technology for non-oriented mixed forests. Cybernetics and Systems Analysis. 2022. Vol. 58, N 3. P. 465–472. https://doi.org/10.1007/s10559-022-00477-8.

  2. Ivaneshkin A.I. The solution of the question of the isomorphism of non-oriented trees by the method of generating isomorphic structures. Automation and Information Sciences. 2020. Vol. 52, N 4. P. 68–79.

  3. Ivaneshkin A.I. A new approach to operating with undirected trees. Cybernetics and Systems Analysis. 2021. Vol. 57, № 1. P. 124–132. https://doi.org/10.1007/s10559-021-00335-z .




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