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Degree distance and Gutman index of corona product of graphs | ||
| Transactions on Combinatorics | ||
| مقاله 2، دوره 4، شماره 3، آذر 2015، صفحه 11-23 اصل مقاله (251.36 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2015.6332 | ||
| نویسنده | ||
| V. Sheeba Agnes* | ||
| Annamalai University | ||
| چکیده | ||
| In this paper, the degree distance and the Gutman index of the corona product of two graphs are determined. Using the results obtained, the exact degree distance and Gutman index of certain classes of graphs are computed. | ||
| کلیدواژهها | ||
| Corona product؛ Degree distance؛ Gutman Index؛ Wiener index؛ Zagreb index | ||
| مراجع | ||
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M. Alaeiyan, J. Asadpour and R. Mojarad (2011) Computing of Some Topological Indices of Corona Product Graphs Aust. J. Basic Appl. Sci. 5, 145-152
R. Balakrishnan and K. Ranganathan (2012) A Text Book of Graph Theory Second edition, Springer, New York
H. Bian, X. Ma and E. Vumar (2012) The Wiener-type Indices of the Corona of Two Graphs Ars Combin. 107, 193-199
J. A. Bondy and U. S. R. Murty (2008) Graph Theory Springer, GTM 244
A. A. Dobrynin and A. A. Kochetova (1994) Degree Distance of a Graph: A Degree Analogue of the Wiener Index J. Chem. Inf. Comput. Sci. 34, 1082-1086
M. Essalih, M. E. Marraki and G. E. Hagri (2011) Calculation of Some Topological Indices of Graphs J. Theoretical and Applied Information Technology 30, 122-127
L. Feng and W. Liu (2011) The Maximal Gutman Index of Bicyclic Graphs MATCH Commun. Math. Comput. Chem. 66, 699-708
R. Frucht and F. Harary (1970) On the Corona of two graphs Aequationes Math. 4, 322-325
I. Gutman, B. Ruscic, N. Trinajstic and C. F. Wilcox (1975) Graph Theory and Molecular Orbitals. XII. Acyclic polyenes J. Chem. Phys. 62, 3399-3405
I. Gutman and N. Trinajstic (1972) Graph Theory and Molecular Orbitals. Total $\phi$-electron Energy of Alternant Hydrocarbons Chem. Phys. Lett. 17, 535-538
I. Gutman (1994) Selected Properties of the Schultz Molecular Topological Index J. Chem. Inf. Comput. Sci. 34, 1087-1089
R. Hammack, W. Imrich and S. Klavzar (2011) Handbook of Product Graphs CRC Press (New York)
M. H. Khalifeh, H. Yousefi-Azari and A. R. Ashrafi (2009) The First and Second Zagreb Indices of Some Graph Operations Discrete Appl. Math. 157, 804-811
B. Lin, H. Cheng, J. Yang and F. Xia (2012) The Wiener Index of the Corona Two Graphs $C_m\odot C_n$ South Asian J. Math. 2, 122-125
K. Pattabiraman and P. Paulraja (2012) On Some Topological Indices of the Tensor Products of Graphs Discrete Appl. Math. 160, 267-279
B. E. Sagan, Y. N. Yeh and P. Zhang (1996) The Wiener Polynomial of a Graph Int. J. Quant. Chem. 60, 959-969
H. P. Schultz (1989) Topological Organic Chemistry. 1. Graph Theory and Topological Indices of Alkanes J. Chem. Inf. Comput. Sci. 29, 239-257
M. Tavakoli and H. Yousefi-Azari (2010) Computing PI and Hyper-Wiener indices of Corona Product of Some Graphs Iranian J. of Mathematical Chemistry 1, 131-135
I. Tomescu (1999) Some Extremal Properties of the Degree Distance of a Graph Discrete Appl. Math. 98, 159-163
H. Wiener (1947) Structural determination of the Paraffin Boiling Points J. Amer. Chem. Soc. 69, 17-20
Z. Yarahmadi and A. R. Ashrafi (2012) The Szeged, Vertex PI, first and second Zagreb Indices of Corona Product of Graphs Filomat 26, 467-472
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