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This article is cited in 1 scientific paper (total in 1 paper)
.Cloning operations and graph diameter
M. A. Iordanskiiab a Lobachevski State University of Nizhni Novgorod
b Minin State Pedagogical University of Nizhny Novgorod
Abstract:
The influence of the subgraph cloning operation on the graph diameter is studied. The corresponding potential increase in the diameter is estimated. Conditions under which the subgraph cloning operation causes no change in the graph diameter are formulated. An example of using the cloning operation to construct a family of fat trees is presented. The diameter of such graphs and the complexity of their design are estimated.
Keywords:
graph, eccentricity, diameter, cloning operation, support vertex.
Received: 21.11.2021
Citation:
M. A. Iordanskii“.Cloning operations and graph diameter”, Diskr. Mat., 34:2 (2022), 26–31; Discrete Math. Appl., 34:4 (2024), 207–210
Linking options:
https://www.mathnet.ru/eng/dm1687https://doi.org/10.4213/dm1687 https://www.mathnet.ru/eng/dm/v34/i2/p26
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Abstract page: | 224 | Full-text PDF : | 56 | References: | 77 | First page: | 15 |
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