f-polynomial on some graph operations

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f-polynomial on some graph operations

Author(s): Carballosa Torres, Walter; Rodríguez García, José Manuel; Sigarreta Almira, José María; Vakhania, Nodari
Publisher: MDPI AG.
Issued date: 2019-11-08
Citation: Carballosa, W., Rodríguez, J. M., Sigarreta, J. M., & Vakhania, N. (2019). f-Polynomial on Some Graph Operations. In Mathematics (Vol. 7, Issue 11, p. 1074). MDPI AG.
ISSN: 2227-7390
DOI: https://doi.org/10.3390/math7111074
xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Economía y Competitividad (España)
Agencia Estatal de Investigación (España)
Sponsor: Supported in part by two grants from the Ministerio de Economía y Competititvidad, Agencia Estatal de Investigación (AEI), and Fondo Europeo de Desarrollo Regional (FEDER) (MTM2016-78227-C2-1-P and MTM2017-90584-REDT), Spain.
Project: Gobierno de España. MTM2016-78227-C2-1-P
Gobierno de España. MTM2017-90584-REDT
Keywords: Inverse Degree Index , Generalized First Zagreb Index , Sum Lordeg Index , Corona Product , Join Of Graphs , Line Graph , Mycielskian Graph , Polynomials In Graphs
URI: http://hdl.handle.net/10016/35501
Rights: © 2019 by the authors. Licensee MDPI, Basel, Switzerland.
Atribución 3.0 España
© 2019 by the authors. Licensee MDPI, Basel, Switzerland.

Abstract:

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 stu [+]

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