Minimum Szeged index among unicyclic graphs with perfect matchings

2019 ◽  
Vol 38 (2) ◽  
pp. 443-455 ◽  
Author(s):  
Hechao Liu ◽  
Hanyuan Deng ◽  
Zikai Tang
Keyword(s):  
Perfect Matchings ◽  
Unicyclic Graphs ◽  
Szeged Index

On the edge-Szeged index of unicyclic graphs with perfect matchings

2020 ◽  
Vol 284 ◽  
pp. 207-223
Author(s):  
Shengjie He ◽  
Rong-Xia Hao ◽  
Yan-Quan Feng
Keyword(s):  
Perfect Matchings ◽  
Unicyclic Graphs ◽  
Szeged Index

scholarly journals On the Szeged index of unicyclic graphs with given diameter

2017 ◽  
Vol 233 ◽  
pp. 118-130 ◽  
Author(s):  
Yan Liu ◽  
Aimei Yu ◽  
Mei Lu ◽  
Rong-Xia Hao
Keyword(s):  
Unicyclic Graphs ◽  
Szeged Index

On the edge-Szeged index of unicyclic graphs with given diameter

2018 ◽  
Vol 336 ◽  
pp. 94-106 ◽  
Author(s):  
Guangfu Wang ◽  
Shuchao Li ◽  
Dongchao Qi ◽  
Huihui Zhang
Keyword(s):  
Unicyclic Graphs ◽  
Szeged Index

On the Revised Szeged Index of Unicyclic Graphs with Given Diameter

2018 ◽  
Vol 43 (1) ◽  
pp. 651-672
Author(s):  
Aimei Yu ◽  
Kun Peng ◽  
Rong-Xia Hao ◽  
Jiahao Fu ◽  
Yingsheng Wang
Keyword(s):  
Unicyclic Graphs ◽  
Szeged Index

Augmented Zagreb index of trees and unicyclic graphs with perfect matchings

2018 ◽  
Vol 335 ◽  
pp. 75-81 ◽  
Author(s):  
Xiaoling Sun ◽  
Yubin Gao ◽  
Jianwei Du ◽  
Lan Xu
Keyword(s):  
Perfect Matchings ◽  
Zagreb Index ◽  
Unicyclic Graphs ◽  
Augmented Zagreb Index

scholarly journals On Variable Sum Exdeg Indices of Quasi-Tree Graphs and Unicyclic Graphs

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Xiaoling Sun ◽  
Jianwei Du
Keyword(s):  
Cycle Length ◽  
Perfect Matchings ◽  
Unicyclic Graphs ◽  
Tree Graphs

In this work, by using the properties of the variable sum exdeg indices and analyzing the structure of the quasi-tree graphs and unicyclic graphs, the minimum and maximum variable sum exdeg indices of quasi-tree graphs and quasi-tree graphs with perfect matchings were presented; the minimum and maximum variable sum exdeg indices of unicyclic graphs with given pendant vertices and cycle length were determined.

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