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:
Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math, Bratislava 81368, SlovakiaSlovak Univ Technol Bratislava, Fac Civil Engn, Dept Math, Bratislava 81368, Slovakia
Knor, M.
Potocnik, P.
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机构:
Univ Ljubljana, Fac Math & Phys, Ljubljana 1111, Slovenia
Inst Math Phys & Mech, Ljubljana 1111, SloveniaSlovak Univ Technol Bratislava, Fac Civil Engn, Dept Math, Bratislava 81368, Slovakia
Potocnik, P.
Skrekovski, R.
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机构:
Univ Ljubljana, Fac Math & Phys, Ljubljana 1111, Slovenia
Inst Math Phys & Mech, Ljubljana 1111, SloveniaSlovak Univ Technol Bratislava, Fac Civil Engn, Dept Math, Bratislava 81368, Slovakia
机构:
Hunan City Univ, Coll Math & Comp Sci, Yiyang City 413000, Hunan, Peoples R ChinaHunan City Univ, Coll Math & Comp Sci, Yiyang City 413000, Hunan, Peoples R China
机构:
Univ Ljubljana, Fac Math & Phys, Ljubljana, Slovenia
Univ Maribor, Fac Nat Sci & Math, Maribor, Slovenia
Inst Math Phys & Mech, Ljubljana, SloveniaMangalore Univ, Dept Math, Mangalore 574199, India
机构:
Shahid Rajaee Teacher Training Univ, Fac Sci, Dept Math, Tehran 16785136, IranShahid Rajaee Teacher Training Univ, Fac Sci, Dept Math, Tehran 16785136, Iran
Ghorbani, Modjtaba
Li, Xueliang
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机构:
Nankai Univ, Ctr Combinator, Tianjin 300071, Peoples R China
Nankai Univ, LPMC, Tianjin 300071, Peoples R China
Qinghai Normal Univ, Sch Math & Stat, Xining 810008, Peoples R ChinaShahid Rajaee Teacher Training Univ, Fac Sci, Dept Math, Tehran 16785136, Iran
Li, Xueliang
Maimani, Hamid Reza
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机构:
Shahid Rajaee Teacher Training Univ, Fac Sci, Dept Math, Tehran 16785136, IranShahid Rajaee Teacher Training Univ, Fac Sci, Dept Math, Tehran 16785136, Iran
Maimani, Hamid Reza
Mao, Yaping
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机构:
Qinghai Normal Univ, Sch Math & Stat, Xining 810008, Peoples R ChinaShahid Rajaee Teacher Training Univ, Fac Sci, Dept Math, Tehran 16785136, Iran
Mao, Yaping
Rahmani, Shaghayegh
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机构:
Shahid Rajaee Teacher Training Univ, Fac Sci, Dept Math, Tehran 16785136, IranShahid Rajaee Teacher Training Univ, Fac Sci, Dept Math, Tehran 16785136, Iran
Rahmani, Shaghayegh
Rajabi-Parsa, Mina
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机构:
Shahid Rajaee Teacher Training Univ, Fac Sci, Dept Math, Tehran 16785136, IranShahid Rajaee Teacher Training Univ, Fac Sci, Dept Math, Tehran 16785136, Iran
机构:
Univ Ljubljana, Fac Math & Phys, Ljubljana, Slovenia
Univ Maribor, Fac Nat Sci & Math, Maribor, Slovenia
Inst Math Phys & Mech, Ljubljana, SloveniaHakim Sabzevari Univ, Dept Math, Sabzevar, Iran