| Issue |
RAIRO-Oper. Res.
Volume 56, Number 5, September-October 2022
|
|
|---|---|---|
| Page(s) | 3659 - 3665 | |
| DOI | https://doi.org/10.1051/ro/2022175 | |
| Published online | 19 October 2022 | |
The super-connectivity of double generalized Petersen graphs
Department of Mathematics, Ege University Bornova, Izmir 35100, Türkiye
* Corresponding author: gulnaz.boruzanli@ege.edu.tr
Received:
12
March
2022
Accepted:
4
October
2022
The super–connectivity of a graph G is the minimum number of vertices whose removal disconnects the graph without isolating a vertex. In this paper, we prove that the super–connectivity of double generalized Petersen graph DP(n, k) is equal to four when n ≥ 4, k ≥ 1 and n ≠ 2k.
Mathematics Subject Classification: 05C40
Key words: Connectivity / super–connectivity / double generalized Petersen graph
© The authors. Published by EDP Sciences, ROADEF, SMAI 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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