تعداد نشریات | 43 |
تعداد شمارهها | 1,676 |
تعداد مقالات | 13,679 |
تعداد مشاهده مقاله | 31,706,830 |
تعداد دریافت فایل اصل مقاله | 12,527,442 |
Connected cototal domination number of a graph | ||
Transactions on Combinatorics | ||
مقاله 2، دوره 1، شماره 2، شهریور 2012، صفحه 17-26 اصل مقاله (359.16 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22108/toc.2012.820 | ||
نویسندگان | ||
B. Basavanagoud* 1؛ Sunilkumar M Hosamani2 | ||
1Karnatak University | ||
2Karnatak University, Dharwad | ||
چکیده | ||
A dominating set $D \subseteq V$ of a graph $G = (V,E)$ is said to be a connected cototal dominating set if $\langle D \rangle$ is connected and $\langle V-D \rangle \neq \varnothing $, contains no isolated vertices. A connected cototal dominating set is said to be minimal if no proper subset of $D$ is connected cototal dominating set. The connected cototal domination number $\gamma_{ccl}(G)$ of $G$ is the minimum cardinality of a minimal connected cototal dominating set of $G$. In this paper, we begin an investigation of connected cototal domination number and obtain some interesting results. | ||
کلیدواژهها | ||
Domination Number؛ connected domination number؛ cototal domination number and connected cototal domination number | ||
مراجع | ||
H. Chen, X. Chen and X. Tan (2011) On k-connected restrained domination in graphs Ars Combin. 98, 387-397
E. J. Cockayne and S. T. Hedetniemi (1977) Towards a theory of domination in Graphs, Networks 7, 247-261
G. S. Domke, J. H. Hatting, S. T. Hedetniemi, R. C. Laskar and L. R. Markus (1999) Restrained domination in graphs Discrete Math. 203, 61-69
E. J. Cockayne, R. M. Dawes and S. T. Hedetniemi (1980) Total domination in graphs, Networks 10, 211-219
F. Harary (1969) Graph Theory Addison-Wesley, Reading
T. W. Haynes, S. T. Hedetniemi and P. J. Slater (1998) Fundamentals of domination in graphs Marcel Dekker, Inc., New York
M. A. Henning (1999) Graphs with large restrained domination number Discrete Math 197/198, 415-429
V. R. Kulli, B. Janakiram and R. R. Iyer (1999) The cototal domination number of a graph, J. Discrete Math. Sci. Cryptography 2, 179-184
V. R. Kulli and B. Janakiram (2000) The nonsplit domination number of a graph Indian. J. Pure. Appl. Math. 31, 545-550
E. Sampathkumar and H. B. Walikar (1979) The connected domination number of a graph, J. Math. Phys. Sci. 13, 607-613
| ||
آمار تعداد مشاهده مقاله: 5,348 تعداد دریافت فایل اصل مقاله: 5,007 |