EN
Independent Transversal Domination Number of Corona and Join Operation in Path Graphs
Öz
A dominating set of a graph G which intersects every independent set of a maximum cardinality in G is called an independent transversal dominating set. The minimum cardinality of an independent transversal dominating set is called the independent transversal domination number of G and is denoted by gamma_{it}(G). In this paper we investigate the independent transversal domination number of the path graph P_{n} with the star graph S_{1,m}, the wheel graph W_{1,m} and the complete graph K_{n} under neihgbourhood corona, edge corona and join operation providing \beta(P_{n})>\beta(G).
Anahtar Kelimeler
Kaynakça
- 1)Ahangar H.A., Samodivkin V. and Yero I.G., Independent Transversal Dominating Sets in Graphs. Complexity and Structural Properties. Filomat. 30(2), 2016, 293--303.
- 2)Alon N., Fellows M.R. and Hare D.R., Vertex Transversals that Dominate. Journal of Graph Theory. 21(1), 1996, 21--31.
- 3)Brause C., Henning M., Ozeki K., Schiermeyer I. and Vumar E., On Upper Bounds For The Independent Transversal Domination Number. Discrete Applied Mathematics. Vol. 236, 2018, 66--72.
- 4)Chartrand G. and Lesniak L., Graphs and Digraphs, Fourth Edition, 2005.
- 5)Gopalapillai I., The spectrum of Neigbourhood Corona of Graphs. Kragujevac Journal of Mathematics. 35(3), 2011, 493--500.
- 6)Hamid I.S., Independent Transversal Domination ın Graphs. Discussiones Mathematicae Graph Theory. Vol.32, 2012, 5--7.
- 7)Harary F., Graph Theory, Addition-Wesley Publishing Co., Reading, MA/Menlo Park, CA/London, 1969.
- 8) Haynes T. W., Hedeniemi S. T. and Slater P. J., Fundamentals of Domination in Graphs, Marcel Dekker, Inc, New York, 1998.
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
Araştırma Makalesi
Yazarlar
Yayımlanma Tarihi
30 Nisan 2022
Gönderilme Tarihi
30 Kasım 2021
Kabul Tarihi
9 Haziran 2022
Yayımlandığı Sayı
Yıl 2022 Cilt: 7 Sayı: 1
APA
Atay Atakul, B. (2022). Independent Transversal Domination Number of Corona and Join Operation in Path Graphs. Turkish Journal of Science, 7(1), 7-13. https://izlik.org/JA87CD75RX
AMA
1.Atay Atakul B. Independent Transversal Domination Number of Corona and Join Operation in Path Graphs. TJOS. 2022;7(1):7-13. https://izlik.org/JA87CD75RX
Chicago
Atay Atakul, Betül. 2022. “Independent Transversal Domination Number of Corona and Join Operation in Path Graphs”. Turkish Journal of Science 7 (1): 7-13. https://izlik.org/JA87CD75RX.
EndNote
Atay Atakul B (01 Nisan 2022) Independent Transversal Domination Number of Corona and Join Operation in Path Graphs. Turkish Journal of Science 7 1 7–13.
IEEE
[1]B. Atay Atakul, “Independent Transversal Domination Number of Corona and Join Operation in Path Graphs”, TJOS, c. 7, sy 1, ss. 7–13, Nis. 2022, [çevrimiçi]. Erişim adresi: https://izlik.org/JA87CD75RX
ISNAD
Atay Atakul, Betül. “Independent Transversal Domination Number of Corona and Join Operation in Path Graphs”. Turkish Journal of Science 7/1 (01 Nisan 2022): 7-13. https://izlik.org/JA87CD75RX.
JAMA
1.Atay Atakul B. Independent Transversal Domination Number of Corona and Join Operation in Path Graphs. TJOS. 2022;7:7–13.
MLA
Atay Atakul, Betül. “Independent Transversal Domination Number of Corona and Join Operation in Path Graphs”. Turkish Journal of Science, c. 7, sy 1, Nisan 2022, ss. 7-13, https://izlik.org/JA87CD75RX.
Vancouver
1.Betül Atay Atakul. Independent Transversal Domination Number of Corona and Join Operation in Path Graphs. TJOS [Internet]. 01 Nisan 2022;7(1):7-13. Erişim adresi: https://izlik.org/JA87CD75RX