On the Terminal Wiener Index of Networks

被引:0
作者
Zeryouh, Meryam [1 ]
El Marraki, Mohamed [1 ]
Essalih, Mohamed [2 ]
机构
[1] Mohammed V Univ Rabat, Fac Sci, URAC 29, LRIT,Associated Unit CNRST, BP 1014 RP, Rabat, Morocco
[2] Cadi Ayyad Univ, Safis Grad Sch Technol, Marrakech, Morocco
来源
PROCEEDINGS OF 2016 5TH INTERNATIONAL CONFERENCE ON MULTIMEDIA COMPUTING AND SYSTEMS (ICMCS) | 2016年
关键词
Wiener index; Terminal Wiener index; Topological indices; Networks; Trees; Graph theory; Graph invariants; STAR-LIKE GRAPHS; TOPOLOGICAL INDEXES; DISTANCE; REPRESENTATION; NUMBER; TREES;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Finding quantitative measures for describing and social characterizing the structural properties of networks is a research topic with ongoing interest. These measures are called graph invariants and are usually referred to as topological indices. The oldest topological index is the Wiener index, it has been extensively studied in many applications such as chemical graph theory, complex network, social networks, and computer net-works. After the success of the Wiener index, a large number of modifications and extensions of the Wiener index have been proposed in the literature. In this paper, we focus our attention to the most recent topological index, called the Terminal Wiener index. Then, we are going to present the structure of networks that attain the second maximal Terminal Wiener index, and we propose a network transformation that increases the Terminal Wiener index.
引用
收藏
页码:533 / 536
页数:4
相关论文
共 27 条
[1]  
[Anonymous], 2002, INTRO GRAPH THEORY
[2]   TOPOLOGICAL INDEXES BASED ON TOPOLOGICAL DISTANCES IN MOLECULAR GRAPHS [J].
BALABAN, AT .
PURE AND APPLIED CHEMISTRY, 1983, 55 (02) :199-206
[3]   THE AVERAGE DISTANCE AND THE INDEPENDENCE NUMBER [J].
CHUNG, FRK .
JOURNAL OF GRAPH THEORY, 1988, 12 (02) :229-235
[4]   Equiseparability on terminal Wiener index [J].
Deng, Xiaotie ;
Zhang, Jie .
APPLIED MATHEMATICS LETTERS, 2012, 25 (03) :580-585
[5]  
Diudea MV, 1998, CROAT CHEM ACTA, V71, P21
[6]   Wiener index of trees: Theory and applications [J].
Dobrynin, AA ;
Entringer, R ;
Gutman, I .
ACTA APPLICANDAE MATHEMATICAE, 2001, 66 (03) :211-249
[7]  
ENTRINGER RC, 1976, CZECH MATH J, V26, P283
[8]   SET OF MEASURES OF CENTRALITY BASED ON BETWEENNESS [J].
FREEMAN, LC .
SOCIOMETRY, 1977, 40 (01) :35-41
[9]  
Gutman I., 2009, NOVEL MOLECULAR STRU, P173
[10]  
Gutman I., 2013, J MATH CHEM, V4, P77