Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.52547/ijmsi
14
8888
13
en
jalali
1402
1
1
gregorian
2023
4
1
18
1
online
1
fulltext
en
On the Zagreb and Eccentricity Coindices of Graph Products
تخصصي
Special
پژوهشي
Research paper
<div style="text-align: justify;"><span class="fontstyle0">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.</span></div>
Eccentricity of a vertex, Graph invariants, Graph products, Chemical graphs.
165
178
http://ijmsi.ir/browse.php?a_code=A-10-702-1&slc_lang=en&sid=1
Mahdieh
Azari
mahdie.azari@gmail.com
`100319475328460010028`

100319475328460010028
Yes
Department of Mathematics, Kazerun Branch, Islamic Azad University, P. O. Box: 73135-168, Kazerun, Iran