Dergiler / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 1

Detour $g$-interior nodes and detour $g$-boundary nodes in bipolar fuzzy graph with applications

Sayfa
106–119
Yayın Tarihi
2020-02-06
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Applications of detour $g$-distance, detour $g$-boundary node, detour $g$-interior node are given.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we obtain a characterization of bipolar fuzzy detour $g$-eccentric node.
📊
Temel Bulgular & Veri:The concepts of bipolar fuzzy detour $g$-boundary nodes and bipolar fuzzy detour $g$-interior nodes in a bipolar fuzzy graph are examined.
💡
Sonuç & Katkı:Applications of detour $g$-distance, detour $g$-boundary node, detour $g$-interior node are given.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Bipolar fuzzy detour g-distance · bipolar fuzzy detour g-interior node · bipolar fuzzy detour g-boundary node

Abstract

In this paper, we obtain a characterization of bipolar fuzzy detour $g$-eccentric node. The concepts of bipolar fuzzy detour $g$-boundary nodes and bipolar fuzzy detour $g$-interior nodes in a bipolar fuzzy graph are examined. Also we establish the relationship between bipolar fuzzy cut node and bipolar fuzzy detour $g$-boundary node. Some properties of bipolar fuzzy detour $g$-boundary nodes, bipolar fuzzy detour $g$-interior nodes and bipolar fuzzy complete nodes are discussed. Bipolar fuzzy detour $g$-interior node and bipolar fuzzy detour $g$-boundary node of a bipolar fuzzy tree are introduced using maximum bipolar fuzzy spanning tree. Applications of detour $g$-distance, detour $g$-boundary node, detour $g$-interior node are given.

🔖

Bu Makaleye Atıf Yap

POULİK, S., GHORAİ, G. (2020). Detour $g$-interior nodes and detour $g$-boundary nodes in bipolar fuzzy graph with applications. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 1, 106–119. https://ajindex.com/articles/669297

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (20)

  1. M. Akram and B. Davvaz, Bipolar fuzzy graphs, Inform. Sci. 181 (24), 5548–5564, 2011
  2. M. Akram and A. Farooq, Bipolar fuzzy tree, New Trends in Mathematical Science, 4 (3), 58–72, 2016
  3. M. Akram and M.G. Karunambigal, Metric in bipolar fuzzy graphs, World Appl. Sci. J. 14 (12), 1920–1927, 2011
  4. K.R. Bhutani and A. Rosenfeld, Strong arc in fuzzy graphs, Inform. Sci. 152, 319–322, 2003
  5. K.R. Bhutani and A. Rosenfeld, Fuzzy end node in fuzzy graphs, Inform. Sci. 152, 323–326, 2003
  6. R.A. Borzooei and H. Rashmanlou, Caley interval-valued fuzzy graphs, U. P. B. Sci. Bull. Series A, 78 (3), 83–94, 2016
  7. R.A. Borzooei and H. Rashmanlou, New concepts of vague graphs, Int. J. Mach. Learn. Cybernet. 8, (4) 1081-1092, 2017
  8. G. Chatrand, D. Erwin, G.L. Johns and P. Zang, Boundary vertices in graphs, Dis- crete Math. 263 (1-3), 25–34, 2003
  9. G. Chatrand, H. Escuadro and P. Zhang, Detour distance in graph, J. Combin. Math. Combin. Comput. 53, 75–94, 2005
  10. G. Chatrand, G.L. Johns and P. Zhang, Detour number of a graph, Util. Math. 64, 97–113, 2003
  11. G. Chartrand and Z. Ping, Introduction to graph theory, Tata McGraw-Hill Edition, 2006
  12. G. Chartrand and P. Zhang, Distance in graphs-taking the long view, AKCE Int. J. Graphs Comb. 1 (1), 1–13, 2004
  13. G. Ghorai and M. Pal, On some operations and density of m-polar fuzzy graphs, Pac. Sci. Rev. A: Natur. Sci. Eng. 17 (1), 14–22, 2015
  14. G. Ghorai and M. Pal, Faces and dual of m-polar fuzzy planar graphs, J. Intell. Fuzzy Syst. 31 (3), 2043–2049, 2016
  15. G. Ghorai and M. Pal, Certain types of product bipolar fuzzy graphs, Int. J. Appl. Comput. Math. 3 (2), 605–619, 2017
  16. G. Ghorai and M. Pal, A note on “Regular bipolar fuzzy graphs” Neural Computing and Applications 21(1) 2012 197-205, Neural Comput. Appl. 30 (5), 1569-1572, 2018
  17. G. Ghorai, S. Sahoo and M. Pal, Certain graph parameters in bipolar fuzzy environ- ment, Int. J. Adv. Intell. Paradigms, doi:10.1504/IJAIP.2018.10024070 [18] J.P. Linda and M.S. Sunitha, On g-eccentric nodes g-boundary nodes and g-interior nodes of a fuzzy graph, Int. J. Math. Sci. Appl. 2 (2), 697–707, 2012
  18. J.P. Linda and M.S. Sunitha, Fuzzy detour g-interior nodes and fuzzy detour g- boundary nodes of a fuzzy graphs, J. Intell. Fuzzy Syst. 27, 435–442, 2014
  19. J.P. Linda and M.S. Sunitha, Fuzzy detour g-centre in fuzzy graphs, Ann. Fuzzy Math. Informa. 7 (2), 219–228, 2014
  20. K.M. Lee, Bipolar-valued fuzzy sets and their