On the Maximum Harary Spectral Radius of Graphs with Given Matching Number
Authors
Xin Luo, Wenshui Lin, Zhixi Wu, Linshan Huang, Qi’an Chen
Corresponding Author
Xin Luo
Available Online May 2018.
- DOI
- 10.2991/ammsa-18.2018.53How to use a DOI?
- Keywords
- Harary matrix; spectral radius; matching number; extremal graph
- Abstract
The Harary spectral radius was proved to be able to produce fair QSPR models for the boiling points, molar heat capacities, vaporization enthalpies, refractive indices and densities for C6-C10 alkanes. Hence this structure-descriptor has recently attracted attention of chemists and mathematicians. [Ars Combin. 131 (2017) 23] and [Appl. Math. Comput. 266 (2015) 937] considered the maximum Harary spectral radius of graphs with given matching number. However, the results are wrong or incomplete. This paper gives an almost complete solution to the problem.
- Copyright
- © 2018, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Xin Luo AU - Wenshui Lin AU - Zhixi Wu AU - Linshan Huang AU - Qi’an Chen PY - 2018/05 DA - 2018/05 TI - On the Maximum Harary Spectral Radius of Graphs with Given Matching Number BT - Proceedings of the 2018 2nd International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2018) PB - Atlantis Press SP - 258 EP - 260 SN - 1951-6851 UR - https://doi.org/10.2991/ammsa-18.2018.53 DO - 10.2991/ammsa-18.2018.53 ID - Luo2018/05 ER -