KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 1

Bounds for Resistance–Distance Spectral Radius

A. Dilek Güngör MADEN
İvan GUTMAN
A. Sinan ÇEVİK
Sayfa
43–50
Yayın Tarihi
2013-01-01
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)

Lower and upper bounds as well as Nordhauss-Gaddum-type results forthe resistance–distance spectral radius are obtained.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Lower and upper bounds as well as Nordhauss-Gaddum-type results forthe resistance–distance spectral radius are obtained.
📊
Temel Bulgular & Veri:Lower and upper bounds as well as Nordhauss-Gaddum-type results forthe resistance–distance spectral radius are obtained.
💡
Sonuç & Katkı:Lower and upper bounds as well as Nordhauss-Gaddum-type results forthe resistance–distance spectral radius are obtained.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Metric (in graph) · Resistance Distance · Resistance-Distance Spectral Radius

Abstract

Lower and upper bounds as well as Nordhauss-Gaddum-type results forthe resistance–distance spectral radius are obtained.

🔖

Bu Makaleye Atıf Yap

MADEN, A. D. G., GUTMAN, İ., ÇEVİK, A. S. (2013). Bounds for Resistance–Distance Spectral Radius. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 1, 43–50. https://ajindex.com/articles/669617

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (17)

  1. Balaban, A. T., Ciubotariu, D. and Medeleanu, M. Topological indices and real number vertex invariants based on graph eigenvalues or eigenvectors, J. Chem. Inf. Comput. Sci. 31, 517-523, 1991. Bapat R. B. Resistance distance in graphs, Math. Student 68, 87-98, 1999. Bapat R. B. Resistance matrix of a weighted graph, MATCH Commun. Math. Comput. Chem. 50, 73-82, 2004.
  2. Bapat R. B., Gutman, I. and Xiao, W. A simple method for computing resistance distance, Z. Naturforsch. 58a, 494-498, 2003.
  3. Bendito, E., Carmona, A., Encinas, A. M, Gesto, J. M. and Mitjana, M Kirchhoff indexes of a network, Lin. Algebra Appl. 432, 2278-2292, 2010.
  4. Bonchev, D., Balaban, A. T., Liu, X. and Klein, D. J. Molecular cyclicity and centricity of polycyclic graphs. I. Cyclicity based on resistance distances or reciprocal distances, Int. J. Quantum Chem. 50, 1-20, 1994.
  5. Cao, D., Chvatal, V, Hoffman, A, J. and Vince, A. Variations on a theorem of Ryser, Lin. Algebra Appl. 260, 215-222, 1997.
  6. Chen, H. and Zhang, F. Resistance distance and the normalized Laplacian spectrum, Discr. Appl. Math. 155, 654-661, 2007.
  7. Das, K. C., G¨ ung¨ or, A. D. and C ¸ evik, A. S., On the Kirchoff index and the resistence distance energy of a graph, MATCH Commun. Math. Comput. Chem. 67(2), 541-556, 2012.
  8. Dobrynin, A. A., Entringer, R. and Gutman, I. Wiener index of trees: theory and applications, Acta Appl. Math. 66, 211-249, 2001.
  9. Entringer, R. C., Jackson, D. E. and Snyder, D. A. Distance in graphs, Czech. Math. J. 26, 283-296, 1976.
  10. Guo, Q., Deng, H. and Chen, D. The extremal Kirchhoff index of a class of unicyclic graphs, MATCH Commun. Math. Comput. Chem. 61, 713-722, 2009.
  11. Gutman, I. and Medeleanu, M. On the structure–dependence of the largest eigenvalue of the distance matrix of an alkane, Indian J. Chem. 37A, 569-573, 1998.
  12. Gutman, I. and Xiao, W. Generalized inverse of the Laplacian matrix and some applications, Bull. Acad. Serbe Sci. Arts (Cl. Sci. Math. Natur. 129, 15-23, 2004.
  13. Gutman, I. and Xiao, W. Distance in trees and Laplacian matrix, Int. J. Chem. Model. 2, 327-334,2010.
  14. Ivanciuc, O., Ivanciuc, T. and Balaban, A. T. Quantitative structure–property relationship evaluation of structural descriptors derived from the distance and reverse Wiener matrices, Internet El. J. Mol. Des. 1, 467-487,2002.
  15. Klein, D. J. Graph geometry, graph metrics, & Wiener, MATCH Commun. Math. Comput. Chem. 35, 7-27, 1997.
  16. Klein, D. J. and Randi´ c, M. Resistance distance, J. Math. Chem. 12, 81-95, 1993.
  17. Lukovits, I. Nik