Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900951 | Applied Mathematics and Computation | 2018 | 13 Pages |
Abstract
For a (molecular) graph, the first multiplicative Zagreb index Î 1 is equal to the product of squares of the vertex degrees, and the second multiplicative Zagreb index Î 2 is equal to the product of the products of degrees of pairs of adjacent vertices. In this paper, we explore the multiplicative Zagreb indices in terms of domination number. Sharp upper and lower bounds of Î 1 and Î 2 are given. In addition, the corresponding extreme graphs are characterized, and our conclusions enrich and extend some known results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Shaohui Wang, Chunxiang Wang, Jia-Bao Liu,