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AI Summary of Peer-Reviewed Research

This page presents an AI-generated summary of a published research paper. The original authors did not write or review this article. [See full disclosure ↓]

Research area:MathematicsGraph theoryAdvanced Graph Theory Research
Publishing process signals: STANDARD — reflects the venue and review process. — venue and review process.

Extremal signed complete graphs with K2,2-minor-free negative subgraphs

Mathematics research
Photo by Sergey Meshkov on Pexels · Pexels License

What the study found

The authors characterize the extremal signed complete graphs that achieve the maximum and second maximum index when the negative-edge-induced subgraph is a K2,2-minor-free spanning subgraph of Kn.

Why the authors say this matters

The abstract says this work addresses an extremum problem for the index of a signed complete graph based on the properties of its negative-edge-induced subgraph. The study suggests this characterization is relevant within signed graph theory.

What the researchers tested

The researchers studied a signed complete graph, written as Γ = (Kn, H−), where H is the negative-edge-induced subgraph. They considered the case in which H is a K2,2-minor-free spanning subgraph of Kn and examined which signed complete graphs attain the largest and second largest index.

What worked and what didn't

The paper states that the extremal signed complete graphs were characterized for both the maximum index and the second maximum index. The abstract does not describe alternative cases, failed approaches, or non-extremal structures.

What to keep in mind

The abstract provides only a brief statement of the characterization and does not include the specific graphs, proofs, or numerical index values. Limitations are not described in the available summary.

Key points

  • The paper characterizes signed complete graphs with the maximum index under a K2,2-minor-free negative subgraph condition.
  • The paper also characterizes the graphs with the second maximum index.
  • The signed complete graph is written as Γ = (Kn, H−), where H is the negative-edge-induced subgraph.
  • The abstract frames the problem as an extremum problem in signed graph theory.
  • No specific graph forms, proofs, or numerical index values are given in the abstract.

Disclosure

Research title:
Extremal signed complete graphs with K2,2-minor-free negative subgraphs
Authors:
Mengyao Qin, Dan Li
Publication date:
2026-04-24
DOI:
10.1051/ro/2026047
OpenAlex record:
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Image credit:
Photo by Sergey Meshkov on Pexels · Pexels License
AI provenance: This post was generated by OpenAI. The original authors did not write or review this post.

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