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Scaling of graphs with diameter constraint

  • Mikhail A. Iordanski
Published/Copyright: July 15, 2025

Abstract

The effect of subgraphs gluing and cloning operations on the graph diameter is studied. A vertex-diameter graph is a graph in which all vertices belong to diametric chains. We study the possibilities of using the vertex-diameter graphs for scaling of graphs with diameter constrains. Examples of scaling of trees, fat trees, and vertex-diameter graphs via cloning and gluing operations are given. We estimate the diameter and complexity of synthesis of such graphs.


Originally published in Diskretnaya Matematika (2023) 35, №4, 46–57 (in Russian).


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Received: 2023-02-16
Published Online: 2025-07-15
Published in Print: 2025-06-26

© 2025 Walter de Gruyter GmbH, Berlin/Boston

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