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Journal of Mathematical Chemistry

, Volume 56, Issue 5, pp 1481–1492 | Cite as

Total domination and open packing in some chemical graphs

  • Yingying Gao
  • Enqiang Zhu
  • Zehui Shao
  • Ivan Gutman
  • Antoaneta Klobučar
Original Paper

Abstract

In this paper we obtain some bounds and exact values of the total domination numbers and open packing numbers for pyrene torus, hexabenzocoronene, H-phenylenic nanotube and H-napthelenic nanotube.

Keywords

Domination number Packing number Benzenoid system Benzenoid torus Nanotube Molecular graph 

Mathematics Subject Classification

05C69 05C90 92E10 

Notes

Acknowledgements

This work was supported by the National Key Research and Development Program under Grant 2017YFB0802300, the National Natural Science Foundation of China under the Grants 61309015, 61672501, and Applied Basic Research (Key Project) of Sichuan Province under the Grant 2017JY0095.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Research Institute of Intelligence SoftwareGuangzhou UniversityGuangzhouChina
  2. 2.Faculty of ScienceUniversity of KragujevacKragujevacSerbia
  3. 3.Department of Mathematics, Faculty of EconomicsUniversity of OsijekOsijekCroatia

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