Yıl 2017, Cilt 21, Sayı 3, Sayfalar 782 - 785 2017-08-11
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## Upper Bounds on the Domination and Total Domination Number of Fibonacci Cubes

#### Elif SAYGI [1]

##### 622 210

One of the basic model for interconnection networks is the $n$-dimensional hypercube graph $Q_n$ and the vertices of $Q_n$ are represented by all binary strings of length $n$. The Fibonacci cube $\Gamma_n$ of dimension $n$ is a subgraph of $Q_n$, where the vertices correspond to those without two consecutive 1s in their string representation. In this paper, we deal with the domination number and the total domination number of Fibonacci cubes. First we obtain upper bounds on the domination number of $\Gamma_n$ for $n\ge 13$. Then using these result we obtain upper bounds on the total domination number of $\Gamma_n$ for $n\ge 14$ and we see that these upper bounds improve the bounds given in [1].
Fibonacci cube, Domination number; Total domination number
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Konular Makaleler Yazar: Elif SAYGI
 Bibtex @ { sdufenbed382218, journal = {Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi}, issn = {}, eissn = {1308-6529}, address = {Süleyman Demirel Üniversitesi}, year = {2017}, volume = {21}, pages = {782 - 785}, doi = {10.19113/sdufbed.05851}, title = {Upper Bounds on the Domination and Total Domination Number of Fibonacci Cubes}, key = {cite}, author = {SAYGI, Elif} } APA SAYGI, E . (2017). Upper Bounds on the Domination and Total Domination Number of Fibonacci Cubes. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 21 (3), 782-785. Retrieved from http://dergipark.gov.tr/sdufenbed/issue/34610/382218 MLA SAYGI, E . "Upper Bounds on the Domination and Total Domination Number of Fibonacci Cubes". Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21 (2017): 782-785 Chicago SAYGI, E . "Upper Bounds on the Domination and Total Domination Number of Fibonacci Cubes". Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21 (2017): 782-785 RIS TY - JOUR T1 - Upper Bounds on the Domination and Total Domination Number of Fibonacci Cubes AU - Elif SAYGI Y1 - 2017 PY - 2017 N1 - DO - T2 - Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi JF - Journal JO - JOR SP - 782 EP - 785 VL - 21 IS - 3 SN - -1308-6529 M3 - UR - Y2 - 2018 ER - EndNote %0 Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi Upper Bounds on the Domination and Total Domination Number of Fibonacci Cubes %A Elif SAYGI %T Upper Bounds on the Domination and Total Domination Number of Fibonacci Cubes %D 2017 %J Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi %P -1308-6529 %V 21 %N 3 %R %U ISNAD SAYGI, Elif . "Upper Bounds on the Domination and Total Domination Number of Fibonacci Cubes". Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21 / 3 (Ağustos 2017): 782-785.