Wiener index;
Total distance;
Harary index;
Zagred indices;
Eulerian graphs;
2-edge-connected graphs;
D O I:
10.1016/j.dam.2024.01.011
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In the original article (Gutman et al., 2014), the authors state that the Wiener index (total distance) of an Eulerian graph is maximized by the cycle. We explain that the initial proof contains a flaw and note that it is a corollary of a result by Plesnik, since an Eulerian graph is 2 -edge -connected. The same incorrect proof is used in two referencing papers, (Liu et al., 2019) and (Cai et al., 2021). We give proofs of the main results of those papers and the 2 -edge -connected analogues. (c) 2024 Elsevier B.V. All rights reserved.
机构:
Huaiyin Inst Technol, Fac Math & Phys, Huaian 223003, Jiangsu, Peoples R ChinaHuaiyin Inst Technol, Fac Math & Phys, Huaian 223003, Jiangsu, Peoples R China
Hua, Hongbo
Ning, Bo
论文数: 0引用数: 0
h-index: 0
机构:
Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R ChinaHuaiyin Inst Technol, Fac Math & Phys, Huaian 223003, Jiangsu, Peoples R China
机构:
Univ Kragujevac, Fac Sci, Kragujevac, Serbia
King Abdulaziz Univ, Dept Chem, Fac Sci, Jeddah 21589, Saudi ArabiaUniv Kragujevac, Fac Sci, Kragujevac, Serbia
Gutman, Ivan
Cruz, Roberto
论文数: 0引用数: 0
h-index: 0
机构:
Univ Antioquia, Inst Matemat, Medellin, ColombiaUniv Kragujevac, Fac Sci, Kragujevac, Serbia
Cruz, Roberto
Rada, Juan
论文数: 0引用数: 0
h-index: 0
机构:
Univ Antioquia, Inst Matemat, Medellin, ColombiaUniv Kragujevac, Fac Sci, Kragujevac, Serbia
机构:
School of Mathmatics and Computation Sciences, Anqing Normal University
Basic Department, Hefei Preschool Education CollegeSchool of Mathmatics and Computation Sciences, Anqing Normal University
YU Gui-dong
REN Li-fang
论文数: 0引用数: 0
h-index: 0
机构:
School of Mathmatics and Computation Sciences, Anqing Normal UniversitySchool of Mathmatics and Computation Sciences, Anqing Normal University
REN Li-fang
LI Xing-xing
论文数: 0引用数: 0
h-index: 0
机构:
School of Mathmatics and Computation Sciences, Anqing Normal UniversitySchool of Mathmatics and Computation Sciences, Anqing Normal University
机构:
Anqing Normal Univ, Sch Math & Computat Sci, Anqing 246133, Peoples R China
Hefei Presch Educ Coll, Basic Dept, Hefei 230013, Anhui, Peoples R ChinaAnqing Normal Univ, Sch Math & Computat Sci, Anqing 246133, Peoples R China
Yu, Gui-dong
Ren, Li-fang
论文数: 0引用数: 0
h-index: 0
机构:
Anqing Normal Univ, Sch Math & Computat Sci, Anqing 246133, Peoples R ChinaAnqing Normal Univ, Sch Math & Computat Sci, Anqing 246133, Peoples R China
Ren, Li-fang
Li, Xing-xing
论文数: 0引用数: 0
h-index: 0
机构:
Anqing Normal Univ, Sch Math & Computat Sci, Anqing 246133, Peoples R ChinaAnqing Normal Univ, Sch Math & Computat Sci, Anqing 246133, Peoples R China
机构:
Anqing Normal Univ, Sch Phys & Elect Engn, Anqing 246133, Peoples R ChinaAnqing Normal Univ, Sch Phys & Elect Engn, Anqing 246133, Peoples R China
Jiang, Guisheng
Ren, Lifang
论文数: 0引用数: 0
h-index: 0
机构:
Anqing Normal Univ, Sch Math & Computat Sci, Anqing 246133, Peoples R ChinaAnqing Normal Univ, Sch Phys & Elect Engn, Anqing 246133, Peoples R China
Ren, Lifang
Yu, Guidong
论文数: 0引用数: 0
h-index: 0
机构:
Anqing Normal Univ, Sch Math & Computat Sci, Anqing 246133, Peoples R China
Hefei Presch Educ Coll, Basic Dept, Hefei 230013, Anhui, Peoples R ChinaAnqing Normal Univ, Sch Phys & Elect Engn, Anqing 246133, Peoples R China