Distance in graphs;
Steiner distance;
Wiener index;
k-Steiner Wiener index;
Line graphs;
Steiner Gutman index;
DISTANCE;
D O I:
10.1007/s13226-021-00199-1
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
Let S be a set of vertices of a connected graph G. The Steiner distance of S is the minimum size among all connected subgraphs whose vertex sets contain S. The sum of all Steiner distances on sets of size k is called the Steiner k-Wiener index. We study inequalities on Steiner Wiener index of line graphs. Also we study relations among Steiner Wiener index of line graphs, Steiner edge Wiener index and Steiner Gutman index.
机构:
GoStudent, Ernst Melchior Gasse 20, A-1020 Vienna, AustriaGoStudent, Ernst Melchior Gasse 20, A-1020 Vienna, Austria
Kovse, Matjaz
Misanantenaina, Valisoa Razanajatovo
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机构:
Stellenbosch Univ, Dept Logist, Private Bag X1, ZA-7602 Matieland, South AfricaGoStudent, Ernst Melchior Gasse 20, A-1020 Vienna, Austria
Misanantenaina, Valisoa Razanajatovo
Wagner, Stephan
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机构:
Uppsala Univ, Dept Math, Box 480, S-75106 Uppsala, Sweden
Stellenbosch Univ, Dept Math Sci, Private Bag X1, ZA-7602 Matieland, South AfricaGoStudent, Ernst Melchior Gasse 20, A-1020 Vienna, Austria
机构:
Qinghai Normal Univ, Dept Math, Xining 810008, Qinghai, Peoples R ChinaQinghai Normal Univ, Dept Math, Xining 810008, Qinghai, Peoples R China
Mao, Yaping
Wang, Zhao
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机构:
Qinghai Normal Univ, Dept Math, Xining 810008, Qinghai, Peoples R China
Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R ChinaQinghai Normal Univ, Dept Math, Xining 810008, Qinghai, Peoples R China
Wang, Zhao
Gutman, Ivan
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机构:
Univ Kragujevac, Fac Sci, POB 60, Kragujevac, Serbia
State Univ Novi Pazar, Novi Pazar, SerbiaQinghai Normal Univ, Dept Math, Xining 810008, Qinghai, Peoples R China
Gutman, Ivan
Li, He
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机构:
Qinghai Normal Univ, Dept Math, Xining 810008, Qinghai, Peoples R ChinaQinghai Normal Univ, Dept Math, Xining 810008, Qinghai, Peoples R China