@article{Liu2023, 
author = {Yanjiao Liu and Jianhua Yin},
title = {The generalized Turán number of    2      S    ℓ},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {10},
pages = {23707-23712},
keywords = {generalized Turán number, disjoint copies, 2Sℓ},
url = {https://www.sciopen.com/article/10.3934/math.20231205},
doi = {10.3934/math.20231205},
abstract = {The generalized Turán number    e  x      (    n    ,          K      s        ,    H    )   is defined to be the maximum number of copies of a complete graph        K    s   in any    H-free graph on    n vertices. Let        S    ℓ   denote the star on    ℓ  +  1 vertices, and let    k      S    ℓ   denote the disjoint union of    k copies of        S    ℓ  . Gan et al. and Chase determined    e  x  (  n  ,      K    s    ,      S    ℓ    ) for all integers    s  ≥  3,    ℓ  ≥  1 and    n  ≥  1. In this paper, we determine    e  x  (  n  ,      K    s    ,  2      S    ℓ    ) for all integers    s  ≥  4,    ℓ  ≥  1 and    n  ≥  1.}
}