Results 241 to 250 of about 143,498 (274)

On Wiener and terminal Wiener index of graphs

International Journal of Biomathematics, 2015
The Wiener index is a topological index defined as the sum of distances between all pairs of vertices in a graph. It was introduced as a structural descriptor for molecular graphs of alkanes, which are trees with vertex degrees of four at the most. The terminal Wiener index is defined as the sum of distances between all pairs of pendent vertices in a ...
Babujee, J. Baskar, Senbagamalar, J.
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WIENER INDEX AND TRACEABLE GRAPHS

Bulletin of the Australian Mathematical Society, 2012
AbstractIn this short paper, we show that, with three exceptions, if the Wiener index of a connected graph of order $n$ is at most $(n+ 5)(n- 2)/ 2$, then it is traceable.
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Reforming of wiener index

Wuhan University Journal of Natural Sciences, 2004
Based on distance matrixW, the novel topological indexW F is defined by the matricesX, W, L, asW F=WXL. WhereX is a row matrix, which expresses the bonding characteristics between adjacent atoms;L is a column matrix expressing the characteristic of vertexes in molecules;W is a distance matrix, which expresses the ...
Huang Yun-ping, Wang Zhen-dong, Yang Feng, Zhou Pei-jiang   +3 more
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Relation between hyper-Wiener and Wiener index

Chemical Physics Letters, 2002
Abstract An identity between the hyper-Wiener index ( WW ) and the Wiener index ( W ) of a tree is deduced, showing that these two molecular-structure-descriptors are more intimately connected than earlier believed. Let T be a tree on n vertices and e be its edge.
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On the Wiener Index of Graphs

Acta Applicandae Mathematicae, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Xiaoying, Liu, Huiqing
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Modification of the Wiener index 4

Journal of Computational Chemistry, 2004
AbstractA novel topological index WF is defined by the matrices X, W, and L as WF = XWL. Where L is a column vector expressing the characteristic of vertices in the molecule; X is a row vector expressing the bonding characteristics between adjacent atoms; W is a reciprocal distance matrix.
Feng, Yang, Zhen-Dong, Wang, Yun-Ping, Huang   +2 more
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Modification of the Wiener Index. 2

Journal of Chemical Information and Computer Sciences, 2003
A novel topological index based on the Wiener Index is proposed as W = 1/2, summation(n/ij)=S*(ij) the element S*(ij) of the distance matrix is defined either as S*(ij)= square root (E(i)E(j)/R(ij) (atoms i and j are adjacent) or as S*(ij)=(j-i+1)square root (E(i)...xE /R(ij) (atoms i and j are not adjacent), where E(i) and E(j) represent the total ...
Feng, Yang, Zhen-Dong, Wang, Yun-Ping, Huang, Pei-Jiang, Zhou   +3 more
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The extended Wiener index

Chemical Physics Letters, 2002
Abstract Comparison with the Wiener number and the molecular connectivity index, a novel set of Wiener indexes ( m W p , m W pc , m W c and m W ch ) were defined, which are named the extended Wiener index. The potential usefulness of the extended Wiener index in QSAR/QSPR is evaluated by its
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Wiener Index of Hypertree

2019
Binary trees are enormously used in data structure as they can be easily stored, manipulated, and retrieved. The most straightforward and extensive applications of binary trees are in the study of computer searching and sorting methods, binary identification problems, and variable binary codes.
L. Nirmala Rani, K. Jennifer Rajkumari, S. Roy   +2 more
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A Note on The Weighted Wiener Index and The Weighted Quasi-Wiener Index

2017
In this study, we consider the weighted Wiener index and the weighted quasi-Wiener index of simple connected weighted graphs and we find some bounds for the weighted Wiener index and the weighted quasi-Wiener index of the weighted graphs. Moreover, we obtain some results by using these bounds for weighted and unweighted graphs.
Büyükköse, Şerife, Mutlu, Nurşah, Kaya Gök, Gülistan   +2 more
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