Araştırma Makalesi

Independence Saturation In Complementary Product Types of Graphs

Cilt: 13 Sayı: 2 30 Haziran 2017
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Independence Saturation In Complementary Product Types of Graphs

Öz

The independence saturation number  of a graph  is defined as , where  is the maximum cardinality of an independent set that contains vertex . Let  be the complement graph of . Complementary prisms are the subset of complementary product graphs. The complementary prism  of  is the graph formed from the disjoint union of  and  by adding the edges of a perfect matching between the corresponding vertices of  and . In this paper, the independence saturation in complementary prisms are considered, then the complementary prisms with small independence saturation numbers are characterized.



Anahtar Kelimeler

Kaynakça

  1. [1] Korshunov, A.D. Coefficient of Internal Stability of Graphs. Cybernetics. 1974; 10, 19-33.
  2. [2] Bomze, I.; Budinich, M.; Pardalos, P.; Pelillo, M. The Maximum Clique Problem. Handbook of Combinatorial Optimization, Supplement Volume A; Du, D., Pardalos, P., Eds.; Kluwer Academic Press: 1999.
  3. [3] Subramanian, M. Studies in Graph Theory-Independence Saturation in Graphs, Ph.D thesis, Manonmaniam Sundaranar University, 2004.
  4. [4] West, D.B. Introduction to Graph Theory; Prentice Hall, NJ, 2001.
  5. [5] Buckley, F.; Harary, F. Distance in Graphs; Addison-Wesley Publishing Company Advanced Book Program, Redwood City, CA, 1990.
  6. [6] Haynes, T.W.; Henning, M.A.; Slater, P.J.; Merwe, V.D. The Complementary Product of Two Graphs. Bull. Instit. Combin. Appl. 2007; 51, 21-30.
  7. [7] Arumugam, S.; Subramanian, M. Independence Satura-tion and Extended Domination Chain in graphs. AKCE J. Graphs. Combin. 2007; 4, 59-69.
  8. [8] Gongora, J.A.; Haynes, T.W.; Jum, E. Independent Domi-nation in Complementary Prisms. UTILITAS MATHEMAT-ICA. 2013; 91, 3-12.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yazarlar

Murat Erşen Berberler Bu kişi benim

Yayımlanma Tarihi

30 Haziran 2017

Gönderilme Tarihi

19 Kasım 2016

Kabul Tarihi

29 Nisan 2017

Yayımlandığı Sayı

Yıl 2017 Cilt: 13 Sayı: 2

Kaynak Göster

APA
Berberler, Z. N., & Berberler, M. E. (2017). Independence Saturation In Complementary Product Types of Graphs. Celal Bayar University Journal of Science, 13(2), 325-331. https://doi.org/10.18466/cbayarfbe.319783
AMA
1.Berberler ZN, Berberler ME. Independence Saturation In Complementary Product Types of Graphs. Celal Bayar University Journal of Science. 2017;13(2):325-331. doi:10.18466/cbayarfbe.319783
Chicago
Berberler, Zeynep Nihan, ve Murat Erşen Berberler. 2017. “Independence Saturation In Complementary Product Types of Graphs”. Celal Bayar University Journal of Science 13 (2): 325-31. https://doi.org/10.18466/cbayarfbe.319783.
EndNote
Berberler ZN, Berberler ME (01 Haziran 2017) Independence Saturation In Complementary Product Types of Graphs. Celal Bayar University Journal of Science 13 2 325–331.
IEEE
[1]Z. N. Berberler ve M. E. Berberler, “Independence Saturation In Complementary Product Types of Graphs”, Celal Bayar University Journal of Science, c. 13, sy 2, ss. 325–331, Haz. 2017, doi: 10.18466/cbayarfbe.319783.
ISNAD
Berberler, Zeynep Nihan - Berberler, Murat Erşen. “Independence Saturation In Complementary Product Types of Graphs”. Celal Bayar University Journal of Science 13/2 (01 Haziran 2017): 325-331. https://doi.org/10.18466/cbayarfbe.319783.
JAMA
1.Berberler ZN, Berberler ME. Independence Saturation In Complementary Product Types of Graphs. Celal Bayar University Journal of Science. 2017;13:325–331.
MLA
Berberler, Zeynep Nihan, ve Murat Erşen Berberler. “Independence Saturation In Complementary Product Types of Graphs”. Celal Bayar University Journal of Science, c. 13, sy 2, Haziran 2017, ss. 325-31, doi:10.18466/cbayarfbe.319783.
Vancouver
1.Zeynep Nihan Berberler, Murat Erşen Berberler. Independence Saturation In Complementary Product Types of Graphs. Celal Bayar University Journal of Science. 01 Haziran 2017;13(2):325-31. doi:10.18466/cbayarfbe.319783