On the Distance Estrada Index of Graphs

Year 2009, Volume: 38 Issue: 3, 277 - 283, 01.03.2009

A.d. Güngör S.b. Bozkurt

Keywords

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References

• Buckley, F. and Harary, F. Distance in Graphs (Addison-Wesley, Red-wood, 1990).
• Cvetkovi´c, D., Doob, M. and Sachs, H. Spectra of Graphs-Theory and Application (Third ed., Johann Ambrosius Bart Verlag, Heidelberg, Leipzig, 1995).
• De la Pe˜na, J. A., Gutman, I. and Rada, J. Estimating the estrada index, Linear Algebra Appl. 427, 70–76, 2007.
• Deng H., Radenkovi´c, S. and Gutman I. The Estrada index, in: Cvetkovi´c, D., Gutman I. (Eds.), Applications of Graph Spectra (Math. Inst., Belgrade, 2009), 123–140.
• Estrada, E. Characterization of 3D molecular structure, Chem. Phys. Lett. 319, 713–718, Estrada, E. Characterization of the folding degree of proteins, Bioinformatics 18, 697–704, Estrada, E. Characterization of amino acid contribution to the folding degree of proteins, Proteins 54, 727–737, 2004.
• Estrada, E. and Rodr´ıguez-Vel´azguez, J. A. Subgraph centrality in complex networks, Phys. Rev. E 71, 056103-056103-9, 2005.
• Estrada, E. and Rodr´ıguez-Vel´azguez, J. A. Spectral measures of bipartivity in complex net- works, Phys. Rev. E72, 046105-146105-6, 2005.
• Estrada, E., Rodr´ıguez-Vel´azguez, J. A. and Randi´c, M. Atomic branching in molecules, Int. J. Quantum Chem. 106, 823–832, 2006.
• Gutman, I. Acyclic conjugated molecules, trees and their energies, J. Math. Chem. 1, 123– , 1987.
• Gutman, I. Total π-electron energy of benezoid hydrocarbons, Topics Curr. Chem. 162, –63, 1992.
• Gutman, I. The energy of a graph, old and new results, in: A. Kohnert, R. Laue, A. Wassermann (Eds.) Algebraic Combinators and application (Springer-Verlag, Berlin, 2001), –211.
• Indulal, G., Gutman, I. and Vijaykumar, A. On the distance energy of a graph, MATCH Commun. Math. Comput. Chem. 60, 461–472, 2008.
• Ramane, H. S., Revankar, D. S., Gutman, I., Rao, S. B., Acharya, D. and Walikar, H. B. Bounds for the distance energy of a graph, Kragujevag J. Sci. 31, 59–68, 2008.