Proceedings of the 2018 2nd International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2018)

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/).

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Volume Title
Proceedings of the 2018 2nd International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2018)
Series
Advances in Intelligent Systems Research
Publication Date
May 2018
ISBN
978-94-6252-529-0
ISSN
1951-6851
DOI
10.2991/ammsa-18.2018.53How to use a DOI?
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  -