Scaling of graphs with diameter constraint
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Mikhail A. Iordanski
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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© 2025 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- On the number of particles from a marked set of cells for an analogue of a general allocation scheme
- Scaling of graphs with diameter constraint
- On the maximal tree in Galton–Watson forest with infinite variance of the offspring
- Short tests for contact circuits with similar-type weakly connected faults of contacts
- Large deviations of bisexual branching process in random environment
- Properties of critical branching random walks on the line under non-extinction condition
Artikel in diesem Heft
- Frontmatter
- On the number of particles from a marked set of cells for an analogue of a general allocation scheme
- Scaling of graphs with diameter constraint
- On the maximal tree in Galton–Watson forest with infinite variance of the offspring
- Short tests for contact circuits with similar-type weakly connected faults of contacts
- Large deviations of bisexual branching process in random environment
- Properties of critical branching random walks on the line under non-extinction condition