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Article

Total and Double Total Domination Number on Hexagonal Grid

1
Faculty of Economics, University of Osijek, 31000 Osijek, Croatia
2
Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, 10000 Zagreb, Croatia
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(11), 1110; https://doi.org/10.3390/math7111110
Received: 25 October 2019 / Revised: 11 November 2019 / Accepted: 13 November 2019 / Published: 15 November 2019
(This article belongs to the Special Issue Graph Theory at Work in Carbon Chemistry)
In this paper, we determine the upper and lower bound for the total domination number and exact values and the upper bound for the double-total domination number on hexagonal grid H m , n with m hexagons in a row and n hexagons in a column. Further, we explore the ratio between the total domination number and the number of vertices of H m , n when m and n tend to infinity. View Full-Text
Keywords: total domination number; double-total domination number; hexagonal grid; molecular graph total domination number; double-total domination number; hexagonal grid; molecular graph
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MDPI and ACS Style

Klobučar, A.; Klobučar, A. Total and Double Total Domination Number on Hexagonal Grid. Mathematics 2019, 7, 1110. https://doi.org/10.3390/math7111110

AMA Style

Klobučar A, Klobučar A. Total and Double Total Domination Number on Hexagonal Grid. Mathematics. 2019; 7(11):1110. https://doi.org/10.3390/math7111110

Chicago/Turabian Style

Klobučar, Antoaneta; Klobučar, Ana. 2019. "Total and Double Total Domination Number on Hexagonal Grid" Mathematics 7, no. 11: 1110. https://doi.org/10.3390/math7111110

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