Further results on the number of cliques in graphs covered by long cycles

Recently, Ji and Ye determined the maximum number of s -cliques in 2-connected graphs with given order and containing an edge that is not on any cycle of length at least k + 1 . They remark that it is interesting to characterize the extremal graphs. In this paper, we give such a characterization.

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Publication Details

Journal
Discrete Mathematics
Published
2026-09-18
DOI
https://doi.org/10.1016/j.disc.2026.115436
Primary Topic
Limits and Structures in Graph Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Further results on the number of cliques in graphs covered by long cycles

Leilei Zhang, Yanan Hu
Discrete Mathematics
Limits and Structures in Graph Theory
article

Further results on the number of cliques in graphs covered by long cycles

Leilei Zhang, Yanan Hu
article en

Abstract

Recently, Ji and Ye determined the maximum number of s -cliques in 2-connected graphs with given order and containing an edge that is not on any cycle of length at least k + 1 . They remark that it is interesting to characterize the extremal graphs. In this paper, we give such a characterization.

Discrete MathematicsVol. 350(2)
Central China Normal University (CN), Shanghai Institute of Technology (CN)
National Natural Science Foundation of China, China Postdoctoral Science Foundation, Science and Technology Commission of Shanghai Municipality
Openalex Percentile: Top 3%
Limits and Structures in Graph Theory
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