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The Domination Number of Grids
Daniel Gonçalves, Alexandre Pinlou, Michaël Rao, Stéphan Thomassé

The Domination Number of Grids

Science & Mathematics Published 2011 Verification Pending

Overview & Synopsis

In this paper, we conclude the calculation of the domination number of all n×m grid graphs. Indeed, we prove Chang's conjecture saying that for every $16 \leq n \leq m, \gamma(G_n,m) = \left\lfloor((n+2)(m+2))/5\right\rfloor - 4.

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Document Information

Document Title The Domination Number of Grids
Author / Organization Daniel Gonçalves, Alexandre Pinlou, Michaël Rao, Stéphan Thomassé
Subject & Discipline Multidisciplinary Academic Open Research
Categories Science & Mathematics
Publication Year 2011
License / Rights Open Access / Creative Commons
Resource Verification Listed PDF (Verification Pending)
Original Host Website HAL Open Science (hal.science)
File Format application/pdf (Portable Document Format)
Language EN
Catalog ID DOC-219662
Original Source Link Visit Source Page on hal.science »