| Issue |
RAIRO-Oper. Res.
Volume 60, Number 3, May-June 2026
|
|
|---|---|---|
| Page(s) | 1599 - 1619 | |
| DOI | https://doi.org/10.1051/ro/2026047 | |
| Published online | 19 June 2026 | |
The index of unbalanced signed complete graphs whose negative-edge-induced subgraph is K2,2-minor free
College of Mathematics and System Science, Xinjiang University, Urumqi 830046, P.R. China
* Corresponding author: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
9
June
2025
Accepted:
23
April
2026
Abstract
Let Γ=(Kn,H−) be a signed complete graph with the negative-edge-induced subgraph H. According to the properties of the negative-edge-induced subgraph, characterizing the extremum problem of the index of the signed complete graph is a concern in signed graphs. A graph G is called H-minor free if G has no minor which is isomorphic to H. In this paper, we characterize the extremal signed complete graphs that achieve the maximum and the second maximum index when H is a K2,2-minor free spanning subgraph of Kn.
Mathematics Subject Classification: 05C50 / 05C35
Key words: Signed complete graph / Turán problem / adjacency matrix / spectral radius
© The authors. Published by EDP Sciences, ROADEF, SMAI 2026
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.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.