On the Zagreb and Eccentricity Coindices of Graph Products

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Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

The second Zagreb coindex is a well-known graph invariant defined as the total degree product of all non-adjacent vertex pairs in a graph. The second Zagreb eccentricity coindex is defined analogously to the second Zagreb coindex by replacing the vertex degrees with the vertex eccentricities. In this paper, we present exact expressions or sharp lower bounds for the second Zagreb eccentricity coindex of some graph products such as lexicographic product, generalized hierarchical product, and strong product. Results are applied to compute the values of this eccentricity-based invariant for some chemical graphs and nanostructures such as hexagonal chain, linear phenylene chain, and zig-zag polyhex nanotube.

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:18 Issue: 1, May 2023
Pages:
165 to 178
https://www.magiran.com/p2569132  
سامانه نویسندگان
  • Azari، Mahdieh
    Author
    Azari, Mahdieh
    Associate Professor Department of Mathematics, Kazerun Branch, Islamic Azad University, کازرون, Iran
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