MAXIMUM SECOND ZAGREB INDEX OF TREES WITH GIVEN ROMAN DOMINATION NUMBER

被引：0

作者：

Jamri, Ayu Ameliatul Shahilah Ahmad ^{[1
]}

Hasni, Roslan ^{[1
]}

Jamil, Muhammad Kamran ^{[2
]}

Mojdeh, Doost Ali ^{[3
]}

机构：

[1] Univ Malaysia Terengganu, Fac Ocean Engn Technol & Informat, Special Interest Grp Modelling & Data Analyt SIGMD, Kuala Nerus 21030, Terengganu, Malaysia

[2] Riphah Int Univ, Dept Math, Lahore, Pakistan

[3] Univ Mazandran, Dept Math, Babolsar, Iran

来源：

TRANSACTIONS ON COMBINATORICS | 2023年 / 12卷 / 01期

关键词：

The second Zagreb index; Domination number; Roman domination number; GRAPHS; BOUNDS; 1ST;

D O I：

10.22108/TOC.2022.128323.1848

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Chemical study regarding total pi-electron energy with respect to conjugated molecules has focused on the second Zagreb index of graphs. Moreover, in the last half-century, it has gotten a lot of attention. The relationship between the Roman domination number and the second Zagreb index is investigated in this study. We characterize the trees with the maximum second Zagreb index among those with the given Roman domination number.

引用

页码：1 / 10

页数：10

共 23 条

[1]

Alhashim A, 2017, AUSTRALAS J COMB, V68, P218

[2] On the Roman domination subdivision number of a graph [J].