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Domination with
decay in triangular matchstick arrangement graphs
Jill Cochran, Terry Henderson, Aaron Ostrander and Ron Taylor
Vol. 10 (2017), No. 5, 749–766
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Abstract |
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We provide results for the exponential dominating numbers and total exponential dominating numbers of a family of triangular grid graphs. We then prove inequalities for these numbers and compare them with inequalities that hold more generally for exponential dominating numbers of graphs. |
Keywords
domination, distance, triangular grid graphs
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Mathematical Subject Classification 2010
Primary: 05A20, 05C69
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Milestones
Received: 11 September 2015
Revised: 14 July 2016
Accepted: 24 July 2016
Published: 14 May 2017
Communicated by Glenn Hurlbert
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Authors |
| Jill Cochran | |
| Department of Mathematics and
Computer Science Berry College Mount Berry, GA 30149 United States |
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| Terry Henderson | |
| Department of Mathematics and
Statistics Wake Forest University Winston-Salem, NC 27109 United States |
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| Aaron Ostrander | |
| Department of Physics University of Maryland College Park, MD 20742 United States |
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| Ron Taylor | |
| Department of Mathematics and
Computer Science Berry College Mount Berry, GA 30149 United States |
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