Voir la notice de l'article provenant de la source Library of Science
@article{DMGT_2022_42_1_a4, author = {Dyer, Danny and Howell, Jared}, title = {Bounds on {Watching} and {Watching} {Graph} {Products}}, journal = {Discussiones Mathematicae. Graph Theory}, pages = {63--79}, publisher = {mathdoc}, volume = {42}, number = {1}, year = {2022}, language = {en}, url = {http://geodesic.mathdoc.fr/item/DMGT_2022_42_1_a4/} }
Dyer, Danny; Howell, Jared. Bounds on Watching and Watching Graph Products. Discussiones Mathematicae. Graph Theory, Tome 42 (2022) no. 1, pp. 63-79. http://geodesic.mathdoc.fr/item/DMGT_2022_42_1_a4/
[1] I. Beaton, R. Begin, S. Finbow and C.M. van Bommel, Even time constraints on the watchman’s walk, Australas. J. Combin. 56 (2013) 113–121.
[2] T.Y. Chang, Domination Numbers of Grid Graphs (PhD. Thesis, ProQuest LLC, Ann Arbor, MI, University of South Florida, 1992).
[3] K. Clarke, The Watchman’s Walk on Cartesian Products and Circulants, Thesis (Honours)—Memorial University of Newfoundland.
[4] S. Crevals and P.R.J.Östergård, Independent domination of grids, Discrete Math. 338 (2015) 1379–1384. https://doi.org/10.1016/j.disc.2015.02.015
[5] C. Davies, S. Finbow, B.L. Hartnell, Q. Li and K. Schmeisser, The watchman problem on trees, Bull. Inst. Combin. Appl. 37 (2003) 35–43.
[6] D. Dyer and R. Milley, A time-constrained variation of the watchman’s walk problem, Australas. J. Combin. 53 (2012) 97–108.
[7] D. Dyer and J. Howell, The multiplicity of watchman’s walks, Congr. Numer. 226 (2016) 301–317.
[8] D. Dyer and J. Howell, Watchman’s walks of Steiner triple system block intersection graphs, Australas. J. Combin. 68 (2017) 23–34.
[9] S. Finbow, M.E. Messinger and M.F. van Bommel, Eternal domination on 3 × n grid graphs, Australas. J. Combin. 61 (2015) 156–174.
[10] D. Gonçalves, A. Pinlou, M. Rao and S. Thomassé, The domination number of grids, SIAM J. Discrete Math. 25 (2011) 1443–1453. https://doi.org/10.1137/11082574
[11] B.L. Hartnell, D.F. Rall and C.A. Whitehead, The watchman’s walk problem: An introduction, Congr. Numer. 130 (1998) 149–155.
[12] B.L. Hartnell and C.A. Whitehead, Minimum dominating walks in Cartesian product graphs, Util. Math. 65 (2004) 73–82.
[13] B.L. Hartnell and C.A. Whitehead, Minimum dominating walks on graphs with large circumference, Util. Math. 78 (2009) 33–40.