Geodesic
On the $k$-dominating number of Cartesian products of two paths
Mathematica slovaca, Tome 55 (2005) no. 2, pp. 141-154
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 05C69 
@article{MASLO_2005_55_2_a1,
     author = {Klobu\v{c}ar, Antoaneta},
     title = {On the $k$-dominating number of {Cartesian} products of two paths},
     journal = {Mathematica slovaca},
     pages = {141--154},
     year = {2005},
     volume = {55},
     number = {2},
     mrnumber = {2177704},
     zbl = {1111.05078},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_2005_55_2_a1/}
}
TY  - JOUR
AU  - Klobučar, Antoaneta
TI  - On the $k$-dominating number of Cartesian products of two paths
JO  - Mathematica slovaca
PY  - 2005
SP  - 141
EP  - 154
VL  - 55
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MASLO_2005_55_2_a1/
LA  - en
ID  - MASLO_2005_55_2_a1
ER  - 
%0 Journal Article
%A Klobučar, Antoaneta
%T On the $k$-dominating number of Cartesian products of two paths
%J Mathematica slovaca
%D 2005
%P 141-154
%V 55
%N 2
%U http://geodesic.mathdoc.fr/item/MASLO_2005_55_2_a1/
%G en
%F MASLO_2005_55_2_a1
Klobučar, Antoaneta. On the $k$-dominating number of Cartesian products of two paths. Mathematica slovaca, Tome 55 (2005) no. 2, pp. 141-154. http://geodesic.mathdoc.fr/item/MASLO_2005_55_2_a1/

[1] EL-ZAHAR M.-PAREEK C. M.: Domination number of products of graphs. Ars Combin. 31 (1991), 223-227. | MR | Zbl

[2] FAUDREE R. J.-SCHELP R. H.: The domination number for the product of graphs. Congr. Numer. 79 (1990), 29-33. | MR | Zbl

[3] GRAVIER S.-KHELLADI A.: On the dominating number of cross product of graphs. Discrete Math. 145 (1995), 273-277. | MR

[4] HAYNES T.-HEDETNIEMI S. T.-SLATER P. J.: Fundamentals of Domination in Graphs. Marcel Dekker, New York, 1998. | MR | Zbl

[5] JACOBSON M. S.-KINCH L. F.: On the domination number of products of graphs I. Ars Combin. 18 (1983), 33-44. | MR

[6] JACOBSON M. S.-KINCH L. F.: On the domination number of the products of graphs II: Trees. J. Graph Theory 10 (1986), 97-106. | MR

[7] JAENISCH C. F. de: Applications de l'Analyse Mathematique an Jenudes Echecs. Petrograd, 1862.

[8] JHA P. K.-KLAVŽAR S.: Independance and matching in direct-product graphs. Ars Combin. 50 (1998), 53-63. | MR

[9] JHA P. K.-KLAVŽAR S.-ZMAZEK B.: Isomorphic components of Kronecker product of bipartite graphs. Discuss. Math. Graph Theory 17 (1997), 301-309. | MR | Zbl

[10] KLAVŽAR S.-SEIFTER N.: Dominating Cartesian products of cycles. Discrete Appl. Math. 59 (1995), 129-136. | MR | Zbl

[11] KLAVŽAR S.-ZMAZEK B.: On a Vizing-like conjecture for direct product graphs. Discrete Math. 156 (1996), 243-246. | MR | Zbl

[12] KLOBUČAR A.: Domination numbers of cardinal products of graphs. Math. Slovaca 49 (1999), 387-402. | MR

[13] KLOBUČAR A.: The domination numbers of the cardinal products $P_6$ □ $P_n$. Math. Commun. 4 (1999), 241-250.

[14] KLOBUČAR A.-SEIFTER N.: K-dominating sets of the cardinal products of paths. Ars Combin. 55 (2000), 33-41. | MR

[15] KLOBUČAR A.: K-dominating sets of $P_{2k+2}$ x $P_n$ and $P_m$ x $P_n$. Ars Combin. 58 (2001), 279-288. | MR

[16] VIZING V. G.: The Cartesian product of graphs. Vychisl. Sistemy 9 (1963), 30-43. | MR