Neighbor Rupture Degree of Some Middle Graphs

Volume: 22 Number: 1 April 16, 2018

Neighbor Rupture Degree of Some Middle Graphs

Abstract

Networks have an important place in our daily lives. Internet networks, electricity networks, water networks, transportation networks, social networks and biological networks are some of the networks we run into every aspects of our lives. A network consists of centers connected by links. A network is represented when centers and connections modelled by vertices and edges, respectively. In consequence of the failure of some centers or connection lines, measurement of the resistance of the network until the communication interrupted is called vulnerability of the network. In this study, neighbor rupture degree which is a parameter that explores the vulnerability values of the resulting graphs due to the failure of some centers of a communication network and its neighboring centers becoming nonfunctional were applied to some middle graphs and neighbor rupture degree of the $M(C_{n}),$ $M(P_{n}),$ $M(K_{1,n}),$ $M(W_{n}),$ $M(P_{n}\times K_{2})$ and $M(C_{n}\times K_{2})$ have been found.

Keywords

References

  1. [1] Bondy, J.A., Murty, U.S.R. 1976. Graph theory with application. Elsevier Science Ltd/North-Holland. 264s
  2. [2] Chavatal, V. 1973. Tough graphs and Hamiltonian circuits. Discrete Math, 5(3), 215-228.
  3. [3] Entringer, R., Swart H. 1987. Vulnerability in Graphs- A Comparative Survey. J. Combin. Math. Combin. Comput, 1, 12-22.
  4. [4] Cozzens, M., Moazzami, D., Stueckle, S. 1995. The Tenacity of a graph. Graph theory, combinatorics and algorithms, 1, 1-2.
  5. [5] Jung, H. A. 1978. On a class of posets and the corresponding comparability graphs. J. Combinatorial Theory Series B, 24(2), 125-133.
  6. [6] Li, Y., Zhang, S., Li, X. 2005. Rupture degree of graphs. International Journal of Computer Mathematics, 82(7), 793-803.
  7. [7] Bacak-Turan, G., Kirlangic, A. 2011. Neighbor Rupture Degree and The Relations Between Other Parameters. Ars Combinatoria, 102, 333-352.
  8. [8] Gunther, G. 1985. Neighbor connectivity in regular graphs. Discrete Applied Mathematics, 11(3), 233-243.

Details

Primary Language

Turkish

Subjects

-

Journal Section

-

Authors

Meltem Ülkü Şenoğlu This is me

Ferhan Nihan Altundağ This is me

Publication Date

April 16, 2018

Submission Date

August 21, 2017

Acceptance Date

-

Published in Issue

Year 2018 Volume: 22 Number: 1

APA
Bacak-turan, G., Ülkü Şenoğlu, M., & Altundağ, F. N. (2018). Neighbor Rupture Degree of Some Middle Graphs. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22(1), 75-80. https://doi.org/10.19113/sdufbed.09657
AMA
1.Bacak-turan G, Ülkü Şenoğlu M, Altundağ FN. Neighbor Rupture Degree of Some Middle Graphs. J. Nat. Appl. Sci. 2018;22(1):75-80. doi:10.19113/sdufbed.09657
Chicago
Bacak-turan, Gökşen, Meltem Ülkü Şenoğlu, and Ferhan Nihan Altundağ. 2018. “Neighbor Rupture Degree of Some Middle Graphs”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 (1): 75-80. https://doi.org/10.19113/sdufbed.09657.
EndNote
Bacak-turan G, Ülkü Şenoğlu M, Altundağ FN (April 1, 2018) Neighbor Rupture Degree of Some Middle Graphs. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 1 75–80.
IEEE
[1]G. Bacak-turan, M. Ülkü Şenoğlu, and F. N. Altundağ, “Neighbor Rupture Degree of Some Middle Graphs”, J. Nat. Appl. Sci., vol. 22, no. 1, pp. 75–80, Apr. 2018, doi: 10.19113/sdufbed.09657.
ISNAD
Bacak-turan, Gökşen - Ülkü Şenoğlu, Meltem - Altundağ, Ferhan Nihan. “Neighbor Rupture Degree of Some Middle Graphs”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22/1 (April 1, 2018): 75-80. https://doi.org/10.19113/sdufbed.09657.
JAMA
1.Bacak-turan G, Ülkü Şenoğlu M, Altundağ FN. Neighbor Rupture Degree of Some Middle Graphs. J. Nat. Appl. Sci. 2018;22:75–80.
MLA
Bacak-turan, Gökşen, et al. “Neighbor Rupture Degree of Some Middle Graphs”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 22, no. 1, Apr. 2018, pp. 75-80, doi:10.19113/sdufbed.09657.
Vancouver
1.Gökşen Bacak-turan, Meltem Ülkü Şenoğlu, Ferhan Nihan Altundağ. Neighbor Rupture Degree of Some Middle Graphs. J. Nat. Appl. Sci. 2018 Apr. 1;22(1):75-80. doi:10.19113/sdufbed.09657

Cited By

e-ISSN :1308-6529
Linking ISSN (ISSN-L): 1300-7688

All published articles in the journal can be accessed free of charge and are open access under the Creative Commons CC BY-NC (Attribution-NonCommercial) license. All authors and other journal users are deemed to have accepted this situation. Click here to access detailed information about the CC BY-NC license.