TY - JOUR
ID - 111483
TI - On Eccentricity Version of Zagreb Coindices
JO - Mathematics Interdisciplinary Research
JA - MIR
LA - en
SN - 2538-3639
AU - Azari, Mahdieh
AD - Department of Mathematics, Kazerun Branch, Islamic Azad University,
P. O. Box: 73135-168, Kazerun, Iran
Y1 - 2021
PY - 2021
VL -
IS -
SP -
EP -
KW - Distance in graph
KW - vertex eccentricity
KW - Bound
KW - extremal graphs
DO - 10.22052/mir.2021.240325.1247
N2 - The eccentric connectivity coindex has recently been introduced (Hua and Miao, 2019) as the total eccentricity sum of all pairs of non-adjacent vertices in a graph. Considering the total eccentricity product of non-adjacent vertex pairs, we introduce here another invariant of connected graphs called the second Zagreb eccentricity coindex. We study some mathematical properties of the eccentric connectivity coindex and second Zagreb eccentricity coindex. We also determine the extremal values of the second Zagreb eccentricity coindex over some specific families of graphs such as trees, unicyclic graphs, connected graphs, and connected bipartite graphs and describe the extremal graphs. Moreover, we compare the second Zagreb eccentricity coindex with the eccentric connectivity coindex and give directions for further studies.
UR - https://mir.kashanu.ac.ir/article_111483.html
L1 - https://mir.kashanu.ac.ir/article_111483_326b755b40c76d988da74a414ea60c34.pdf
ER -