TY - JOUR
T1 - Bounds on the General Eccentric Connectivity Index
AU - Yu, Xinhong
AU - Imran, Muhammad
AU - Javed, Aisha
AU - Jamil, Muhammad Kamran
AU - Zuo, Xuewu
N1 - Funding Information:
This research project is supported by the Natural Science Foundation of Anhui Province Higher School (KJ2020A0780, KJ2020A0779).
Publisher Copyright:
© 2022 by the authors.
PY - 2022/12
Y1 - 2022/12
N2 - The general eccentric connectivity index of a graph R is defined as (Formula presented.), where (Formula presented.) is any real number, (Formula presented.) and (Formula presented.) represent the eccentricity and the degree of the vertex u in R, respectively. In this paper, some bounds on the general eccentric connectivity index are proposed in terms of graph-theoretic parameters, namely, order, radius, independence number, eccentricity, pendent vertices and cut edges. Moreover, extremal graphs are characterized by these bounds.
AB - The general eccentric connectivity index of a graph R is defined as (Formula presented.), where (Formula presented.) is any real number, (Formula presented.) and (Formula presented.) represent the eccentricity and the degree of the vertex u in R, respectively. In this paper, some bounds on the general eccentric connectivity index are proposed in terms of graph-theoretic parameters, namely, order, radius, independence number, eccentricity, pendent vertices and cut edges. Moreover, extremal graphs are characterized by these bounds.
KW - eccentric connectivity index
KW - eccentricity of vertex
KW - extremal graphs
KW - general eccentric connectivity index
UR - http://www.scopus.com/inward/record.url?scp=85144986805&partnerID=8YFLogxK
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U2 - 10.3390/sym14122560
DO - 10.3390/sym14122560
M3 - Article
AN - SCOPUS:85144986805
SN - 2073-8994
VL - 14
JO - Symmetry
JF - Symmetry
IS - 12
M1 - 2560
ER -