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## entrStrong Domination Number of Some GraphsStrong Domination Number of Some Graphs

#### Derya Doğan Durgun [1] , Berna Lökçü [2]

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In this paper, we consider strong domination number of Pnk  and Cnk .  Let  G=(V,E) be a graph, V is a vertex set and E is an edge set of graph G and u,v∈V . u strongly dominates v and v weakly dominates u if  (i) uv E and (ii) d ( u, G ) ≥ d ( v, G ) . A set D⊂V  is a strong-dominating set (sd-set) of G if every vertex in V-D is strongly dominated by at least one vertex in D. The strong domination number γs of G is the minimum cardinality of an sd-set.

In this paper, we consider strong domination number of Pnk  and Cnk .  Let  G=(V,E) be a graph, V is a vertex set and E is an edge set of graph G and u,v∈V . u strongly dominates v and v weakly dominates u if  (i) uv E and (ii) d ( u, G ) ≥ d ( v, G ) . A set D⊂V  is a strong-dominating set (sd-set) of G if every vertex in V-D is strongly dominated by at least one vertex in D. The strong domination number γs of G is the minimum cardinality of an sd-set.

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Primary Language EN Articles Author: Derya Doğan Durgun Author: Berna Lökçü Publication Date: December 19, 2015
 Bibtex @ { cbayarfbe238121, journal = {Celal Bayar University Journal of Science}, issn = {1305-130X}, eissn = {1305-1385}, address = {Celal Bayar University}, year = {2015}, volume = {11}, pages = {0 - }, doi = {10.18466/cbujos.21781}, title = {Strong Domination Number of Some Graphs}, key = {cite}, author = {Doğan Durgun, Derya and Lökçü, Berna} } APA Doğan Durgun, D , Lökçü, B . (2015). Strong Domination Number of Some Graphs. Celal Bayar University Journal of Science, 11 (2), . Retrieved from http://dergipark.org.tr/cbayarfbe/issue/22163/238121 MLA Doğan Durgun, D , Lökçü, B . "Strong Domination Number of Some Graphs". Celal Bayar University Journal of Science 11 (2015): Chicago Doğan Durgun, D , Lökçü, B . "Strong Domination Number of Some Graphs". Celal Bayar University Journal of Science 11 (2015): RIS TY - JOUR T1 - Strong Domination Number of Some Graphs AU - Derya Doğan Durgun , Berna Lökçü Y1 - 2015 PY - 2015 N1 - DO - T2 - Celal Bayar University Journal of Science JF - Journal JO - JOR SP - 0 EP - VL - 11 IS - 2 SN - 1305-130X-1305-1385 M3 - UR - Y2 - 2019 ER - EndNote %0 Celal Bayar University Journal of Science Strong Domination Number of Some Graphs %A Derya Doğan Durgun , Berna Lökçü %T Strong Domination Number of Some Graphs %D 2015 %J Celal Bayar University Journal of Science %P 1305-130X-1305-1385 %V 11 %N 2 %R %U ISNAD Doğan Durgun, Derya , Lökçü, Berna . "Strong Domination Number of Some Graphs". Celal Bayar University Journal of Science 11 / 2 (December 2015): 0-. AMA Doğan Durgun D , Lökçü B . Strong Domination Number of Some Graphs. Celal Bayar Univ J Sci. 2015; 11(2): 0-. Vancouver Doğan Durgun D , Lökçü B . Strong Domination Number of Some Graphs. Celal Bayar University Journal of Science. 2015; 11(2): -0.