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Heydari, Abbas. (1392). On the spectra of reduced distance matrix of dendrimers. , 2(2), 41-46. doi: 10.22108/toc.2013.2890
Abbas Heydari. "On the spectra of reduced distance matrix of dendrimers". , 2, 2, 1392, 41-46. doi: 10.22108/toc.2013.2890
Heydari, Abbas. (1392). 'On the spectra of reduced distance matrix of dendrimers', , 2(2), pp. 41-46. doi: 10.22108/toc.2013.2890
Heydari, Abbas. On the spectra of reduced distance matrix of dendrimers. , 1392; 2(2): 41-46. doi: 10.22108/toc.2013.2890

On the spectra of reduced distance matrix of dendrimers

Transactions on Combinatorics
مقاله 6، دوره 2، شماره 2، شهریور 2013، صفحه 41-46    اصل مقاله (550.31 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/toc.2013.2890
نویسنده
Abbas Heydari*
staff
چکیده
Let $G$ be a simple connected graph and $\{v_1,v_2,\ldots‎, ‎v_k\}$ be the set of‎ ‎pendent (vertices of degree one) vertices of $G$‎. ‎The reduced distance matrix of $G$ is a square matrix whose $(i,j)$-entry is the topological distance between $v_i$ and $v_j$ of $G$‎. ‎In this paper‎, ‎we obtain the spectrum‎ ‎of the reduced distance matrix of regular dendrimers‎.
کلیدواژه‌ها
Reduced distance matrix؛ spectrum؛ Regular Dendrimers
مراجع
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M. V. Diudea (1995) Wiener Index of Dendrimers MATCH Commun. Math.Comput. Chem 32, 71-83
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A. Heydari (2011) Balaban index of regular dendrimers Optoelectron. Adv. Mater.-Rapid Commun. 5 (11), 1260-162
A. Heydari (2010) Harary index of regular dendrimers Optoelectron. Adv. Mater.-Rapid Commun. 4 (12), 2206-2208
F. Zhang (1999) Matrix Theory, Basic Results and Techniques Universitext, Springer-Verlag, New York
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