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Year 2019, Volume 5 , Issue 2, Pages 73 - 76 2019-12-11

CORRELATIONS BETWEEN NETWORK VULNERABILITY AND LAPLACIAN ENERGIES
Ağ Kırılganlığı ve Laplasyen Enerjiler Arasındaki Korelasyonlar

Mehmet Balcı [1] , Ömer Akgüller [2] , Erva Kol [3]

Abstract

In the network analysis, vulnerability plays key role. Similarly, Laplacian matrices are also effective tools in network analysis. In this study, we examine correlations between those two concepts. We first calculate the well-known vulnerability measures called edge connectivity, vertex connectivity, and solitude number. Then, we find correlation between vulnerability measures and energies of Laplacian matrices. As a result, we find strong correlations between Laplacian energies and vertex connectivity of a network.

Ağ analizinde kırılganlık kavramı önemli rol oynamaktadır. Benzer şekilde, Laplasyen matrisleri de ağ analizinde etkili araçlardır. Bu çalışmada, bu iki kavram arasındaki korelasyon incelenmiştir. İlk olarak, oldukça çok bilinen ayrıt bağlantılık, tepe bağlantılık ve yalnızlık sayıları hesaplanmıştır. Daha sonra, bu kırılganlık ölçüleri ile Laplasyen matrislerinin enerjileri arasındaki korelasyon hesaplanmıştır. Sonuç olarak, bir ağın Laplasyen enerjileri ile tepe bağlantılık ölçüsü  arasında güçlü korelasyonlar bulunmuştur.

References

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Details

Primary Language en
Subjects Engineering
Journal Section Journals
Authors

Orcid: 0000-0002-4650-8294
Author: Mehmet Balcı (Primary Author)
Country: Turkey

Orcid: 0000-0002-7061-2534
Author: Ömer Akgüller
Country: Turkey

Orcid: 0000-0002-1825-0097
Author: Erva Kol

Dates

Publication Date : December 11, 2019

Cite

Bibtex @research article { muglajsci610459, journal = {Mugla Journal of Science and Technology}, issn = {2149-3596}, address = {}, publisher = {Muğla Sıtkı Koçman Üniversitesi}, year = {2019}, volume = {5}, pages = {73 - 76}, doi = {10.22531/muglajsci.610459}, title = {CORRELATIONS BETWEEN NETWORK VULNERABILITY AND LAPLACIAN ENERGIES}, key = {cite}, author = {Balcı, Mehmet and Akgüller, Ömer and Kol, Erva} }
APA Balcı, M , Akgüller, Ö , Kol, E . (2019). CORRELATIONS BETWEEN NETWORK VULNERABILITY AND LAPLACIAN ENERGIES. Mugla Journal of Science and Technology , 5 (2) , 73-76 . DOI: 10.22531/muglajsci.610459
MLA Balcı, M , Akgüller, Ö , Kol, E . "CORRELATIONS BETWEEN NETWORK VULNERABILITY AND LAPLACIAN ENERGIES". Mugla Journal of Science and Technology 5 (2019 ): 73-76 <https://dergipark.org.tr/en/pub/muglajsci/issue/49054/610459>
Chicago Balcı, M , Akgüller, Ö , Kol, E . "CORRELATIONS BETWEEN NETWORK VULNERABILITY AND LAPLACIAN ENERGIES". Mugla Journal of Science and Technology 5 (2019 ): 73-76
RIS TY - JOUR T1 - CORRELATIONS BETWEEN NETWORK VULNERABILITY AND LAPLACIAN ENERGIES AU - Mehmet Balcı , Ömer Akgüller , Erva Kol Y1 - 2019 PY - 2019 N1 - doi: 10.22531/muglajsci.610459 DO - 10.22531/muglajsci.610459 T2 - Mugla Journal of Science and Technology JF - Journal JO - JOR SP - 73 EP - 76 VL - 5 IS - 2 SN - 2149-3596- M3 - doi: 10.22531/muglajsci.610459 UR - https://doi.org/10.22531/muglajsci.610459 Y2 - 2019 ER -
EndNote %0 Mugla Journal of Science and Technology CORRELATIONS BETWEEN NETWORK VULNERABILITY AND LAPLACIAN ENERGIES %A Mehmet Balcı , Ömer Akgüller , Erva Kol %T CORRELATIONS BETWEEN NETWORK VULNERABILITY AND LAPLACIAN ENERGIES %D 2019 %J Mugla Journal of Science and Technology %P 2149-3596- %V 5 %N 2 %R doi: 10.22531/muglajsci.610459 %U 10.22531/muglajsci.610459
ISNAD Balcı, Mehmet , Akgüller, Ömer , Kol, Erva . "CORRELATIONS BETWEEN NETWORK VULNERABILITY AND LAPLACIAN ENERGIES". Mugla Journal of Science and Technology 5 / 2 (December 2019): 73-76 . https://doi.org/10.22531/muglajsci.610459
AMA Balcı M , Akgüller Ö , Kol E . CORRELATIONS BETWEEN NETWORK VULNERABILITY AND LAPLACIAN ENERGIES. Mugla Journal of Science and Technology. 2019; 5(2): 73-76.
Vancouver Balcı M , Akgüller Ö , Kol E . CORRELATIONS BETWEEN NETWORK VULNERABILITY AND LAPLACIAN ENERGIES. Mugla Journal of Science and Technology. 2019; 5(2): 76-73.
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