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  1. Home > Articles & Issues >
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  3. Determining Number o ...
Article

Determining Number of Kneser Graphs: Exact Values and Improved Bounds

Angsuman Das, Hiranya Kishore Dey
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Submitted on
June 29, 2021
Accepted on
February 16, 2022
Published on
March 30, 2022
Last modified on
March 31, 2025
Volume 24
vol. 24:1
Graph Theory
DOI
10.46298/dmtcs.7627
License
arXiv.org - Non-exclusive license to distribute
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1576
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1187
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Determining Number of Kneser Graphs: Exact Values and Improved Bounds

Angsuman Das, Hiranya Kishore Dey
Abstract
The determining number of a graph $G = (V,E)$ is the minimum cardinality of a set $S\subseteq V$ such that pointwise stabilizer of $S$ under the action of $Aut(G)$ is trivial. In this paper, we provide some improved upper and lower bounds on the determining number of Kneser graphs. Moreover, we provide the exact value of the determining number for some subfamilies of Kneser graphs. Comment: 9 pages, 1 figure
Keywords
  • Mathematics - Combinatorics
  • 05C25
Mathematics Subject Classification 2020
  • 05C25 - Graphs and abstract algebra (groups, rings, fields, etc.)
  • 05C75 - Structural characterization of families of graphs
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