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:
School of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong, ShaanxiSchool of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong, Shaanxi
Su X.
Wang L.
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机构:
Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi'an, ShaanxiSchool of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong, Shaanxi
Wang L.
Gao Y.
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机构:
School of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong, ShaanxiSchool of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong, Shaanxi
机构:
UNSA, I3S, CNRS, F-06902 Sophia Antipolis, France
INRIA, F-06902 Sophia Antipolis, FranceInst Math Phys & Mech, Ljubljana 1111, Slovenia
Cohen, Nathann
Dimitrov, Darko
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机构:
Free Univ Berlin, Inst Informat, D-14195 Berlin, GermanyInst Math Phys & Mech, Ljubljana 1111, Slovenia
Dimitrov, Darko
Krakovski, Roi
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机构:
Ben Gurion Univ Negev, Dept Comp Sci, IL-84105 Beer Sheva, IsraelInst Math Phys & Mech, Ljubljana 1111, Slovenia
Krakovski, Roi
Skrekovski, Riste
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机构:
Inst Math Phys & Mech, Ljubljana 1111, Slovenia
Jozef Stefan Inst, Comp Syst Dept, Ljubljana 1000, SloveniaInst Math Phys & Mech, Ljubljana 1111, Slovenia
Skrekovski, Riste
Vukasinovic, Vida
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机构:Inst Math Phys & Mech, Ljubljana 1111, Slovenia