RT Journal Article
T1 f-polynomial on some graph operations
A1 Carballosa Torres, Walter
A1 Rodríguez García, José Manuel
A1 Sigarreta Almira, José María
A1 Vakhania, Nodari
AB Given any function f:Z+→R+ , let us define the f-index If(G)=∑u∈V(G)f(du) and the f-polynomial Pf(G,x)=∑u∈V(G)x1/f(du)−1, for x>0 . In addition, we define Pf(G,0)=limx→0+Pf(G,x) . We use the f-polynomial of a large family of topological indices in order to study mathematical relations of the inverse degree, the generalized first Zagreb, and the sum lordeg indices, among others. In this paper, using this f-polynomial, we obtain several properties of these indices of some classical graph operations that include corona product and join, line, and Mycielskian, among others.
PB MDPI AG.
SN 2227-7390
YR 2019
FD 2019-11-08
LK https://hdl.handle.net/10016/35501
UL https://hdl.handle.net/10016/35501
LA eng
NO Supported in part by two grants from the Ministerio de Economía yCompetititvidad, Agencia Estatal de Investigación (AEI), and Fondo Europeo de Desarrollo Regional (FEDER)(MTM2016-78227-C2-1-P and MTM2017-90584-REDT), Spain.
DS e-Archivo
RD 1 sept. 2024