Spectral Tur\'{a}n problem for $\mathcal{K}_{2,t}^-$-free unbalanced signed graphs

Hongying Lin

Spectral Tur\'{a}n problem for $\mathcal{K}_{2,t}^-$-free unbalanced signed graphs

Combinatorics 2024-08-29 v3

Authors: Hongying Lin

Abstract

We determine the maximum index and the signed graphs with the maximum index among all $\mathcal{K}_{2,t}^-$ -free unbalanced signed graphs with fixed order for $t\geq 3$ , as well as the second maximum index and the signed graphs with the second maximum index among all $\mathcal{K}_{2,t}^-$ -free unbalanced signed graphs with fixed order for $t\geq 4$ .

Cite

@article{arxiv.2408.14102,
  title  = {Spectral Tur\'{a}n problem for $\mathcal{K}_{2,t}^-$-free unbalanced signed graphs},
  author = {Hongying Lin},
  journal= {arXiv preprint arXiv:2408.14102},
  year   = {2024}
}

Comments

The conclusion is not right. A new version is under work

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