RT - Journal Article
T1 - On the Zagreb and Eccentricity Coindices of Graph Products
JF - IJMSI
YR - 2023
JO - IJMSI
VO - 18
IS - 1
UR - http://ijmsi.ir/article-1-1529-en.html
SP - 165
EP - 178
K1 - Eccentricity of a vertex
K1 - Graph invariants
K1 - Graph products
K1 - Chemical graphs.
AB - 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.
LA eng
UL http://ijmsi.ir/article-1-1529-en.html
M3 10.52547/ijmsi.18.1.165
ER -