MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

A note on potentially $K_4-e$ graphical sequences

Lai Chunhui Minnan Normal University

Combinatorics mathscidoc:2402.06002

Australas. J. Combin. , 24, 123–127, 2001.9
"A sequence $S$ is potentially $K_4-e$ graphical if it has a realization containing a $K_4-e$ as a subgraph. Let $\sigma(K_4-e,n)$ denote the smallest degree sum such that every $n$ -term graphical sequence $S$ with $\sigma(S)\geq\sigma(K_4-e,n)$ is potentially $K_4-e$ graphical. Gould, Jacobson, Lehel raised the problem of determining the value of $\sigma(K_4-e,n)$ . In this paper, we prove that $\sigma(K_4-e,n)=2[(3n-1)/2]$ for $n\geq7$ and $n=4,5$ , and $\sigma(K_4-e,6)=20$ .''
graphical sequences: $K_4-e$
[ Download ] [ 2024-02-10 11:19:19 uploaded by Laichunhui ] [ 162 downloads ] [ 0 comments ] 
@inproceedings{lai2001a,
  title={A note on potentially $K_4-e$ graphical sequences},
  author={Lai Chunhui},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20240210111919548689765},
  booktitle={Australas. J. Combin. },
  volume={24},
  pages={123–127},
  year={2001},
}
Lai Chunhui. A note on potentially $K_4-e$ graphical sequences. 2001. Vol. 24. In Australas. J. Combin. . pp.123–127. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20240210111919548689765.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved