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Total and Double Total Domination Number on Hexagonal Grid

Author

Listed:
  • 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)

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.

Suggested Citation

  • Antoaneta Klobučar & Ana Klobučar, 2019. "Total and Double Total Domination Number on Hexagonal Grid," Mathematics, MDPI, vol. 7(11), pages 1-12, November.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1110-:d:287452
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