منابع مشابه
On the Terminal Wiener Index of Thorn Graphs
The terminal Wiener index TW = TW (G) of a graph G is equal to the sum of distances between all pairs of pendent vertices of G . This distance–based molecular structure descriptor was put forward quite recently [I. Gutman, B. Furtula, M. Petrović, J. Math. Chem. 46 (2009) 522–531]. In this paper we report results on TW of thorn graphs. Also a method for calculation of TW of dendrimers is descri...
متن کاملBounds on Gutman Index
The Gutman index (also known as Schultz index of the second kind) of a graph G is defined as Gut(G) = ∑ u,v∈V (G) d(u)d(v)d(u, v). We show that among all graphs on n vertices, the star graph Sn has minimal Gutman index. In addition, we present upper and lower bounds on Gutman index for graphs with minimal and graphs with maximal Gutman index. Corresponding author Supported by project 1M0545 of ...
متن کاملdegree distance and gutman index of corona product of graphs
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.
متن کاملOn the harmonic index of bicyclic graphs
The harmonic index of a graph $G$, denoted by $H(G)$, is defined asthe sum of weights $2/[d(u)+d(v)]$ over all edges $uv$ of $G$, where$d(u)$ denotes the degree of a vertex $u$. Hu and Zhou [Y. Hu and X. Zhou, WSEAS Trans. Math. {bf 12} (2013) 716--726] proved that for any bicyclic graph $G$ of order $ngeq 4$, $H(G)le frac{n}{2}-frac{1}{15}$ and characterize all extremal bicyclic graphs.In this...
متن کاملon the spectra of reduced distance matrix of thorn graphs
let g be a simple connected graph and {v1, v2, …, vk} be the set of pendent (vertices ofdegree one) vertices of g. the reduced distance matrix of g is a square matrix whose (i,j)–entry is the topological distance between vi and vj of g. in this paper, we obtain the spectrumof the reduced distance matrix of thorn graph of g, a graph which obtained by attaching somenew vertices to pendent vertice...
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ژورنال
عنوان ژورنال: Kragujevac Journal of Science
سال: 2018
ISSN: 1450-9636,2466-5509
DOI: 10.5937/kgjsci1840033a