Vestnik KRAUNC. Fiz.-Mat. Nauki. 2022. vol. 38. no. 1. P. 74–83. ISSN 2079-6641

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MSC 03G05

Research Article

Computer experiment in teaching mathematical disciplines

A. P. Goryushkin

Kamchatka State University by Vitus Bering, 683032, Petropavlovsk-Kamchatskiy, Pogranichnaya st, 4, Russia


The method of using a computer in the study of university courses «Discrete Mathematics» and «Graph Theory» is discussed. The paper shows the use of the symbolic computing package Maple to detect the properties of the main matrices of the graph and experimental verification of these properties.

Key words: graph, adjacency matrix, incidence matrix, Kirchhoff matrix, graph backbone, Maple, machine command.

DOI: 10.26117/2079-6641-2022-38-1-74-83

Original article submitted: 13.03.2022

Revision submitted: 15.04.2022

For citation. Goryushkin A.P. Computer experiment in teaching mathematical disciplines. Vestnik KRAUNC. Fiz.-mat. nauki. 2022, 38: 1, 74-83. DOI: 10.26117/2079-6641-2022-38-1-74-83

Competing interests. The author declares that there are no conflicts of interest regarding authorship and publication.

Contribution and Responsibility. The author contributed to this article. The author is solely responsible for providing the final version of the article in print. The final version of the manuscript was approved by the author.

The content is published under the terms of the Creative Commons Attribution 4.0 International License (

© Goryushkin A.P., 2022


  1. Goryushkin A.P. Diskretnaya matematika dlya bakalavrov [Discrete Mathematics for Bachelors]. Petropavlovsk-Kamchatsky: Vitus Bering Kamchatka State University, 2014. 594 с. (In Russian)
  2. Goryushkin A.P. Teoriya grafov [Graph theory]. Petropavlovsk-Kamchatsky: KamchatGTU, 2014. 172 с. (In Russian)
  3. Goryushkin A.P. Machine solution of discrete mathematics problems, Vestnik KRAUNC. Fiz.-Mat. Nauki., 2011. Т. 2, №3, С. 58–68 (In Russian).
  4. Goryushkin A.P. Diskretnaya matematika s elementami matematicheskoy logiki: uchebnoye posobiye dlya SPO [Discrete Mathematics with Elements of Mathematical Logic: Textbook for Open Source Software]. Saratov: Profobrazovaniye, 2020. 503 с. (In Russian)

Goryushkin Aleksandr Petrovich – Ph. D. (Phys. and Math.), Associate Professor, Department of Mathematics and Physics, Vitus Bering Kamchatka State University, Petropavlovsk-Kamchatsky, Russia ORCID 0000-0003-4680-3119.

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