Total and Double Total Domination Number on Hexagonal Grid

Antoaneta Klobučar and Ana Klobučar
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Antoaneta Klobučar: Faculty of Economics, University of Osijek, 31000 Osijek, Croatia
Ana Klobučar: Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, 10000 Zagreb, Croatia

Mathematics, 2019, vol. 7, issue 11, 1-12

Abstract: 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.

Keywords: total domination number; double-total domination number; hexagonal grid; molecular graph (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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