Geodesic
On the bounds of zeroth–order general Randić index
Filomat, Tome 36 (2022) no. 19, p. 6443

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

The zeroth–order general Randić index, 0 R α (G), of a connected graph G, is defined as 0 R α (G) = n i=1 d α i , where d i is the degree of the vertex v i of G and α arbitrary real number. We consider linear combinations of the 0 R α (G) of the form 0 R α (G) − (∆ + δ) 0 R α−1 (G) + ∆δ 0 R α−2 (G) and 0 R α (G) − 2a 0 R α−1 (G) + a 2 0 R α−2 (G), where a is an arbitrary real number, and determine their bounds. As corollaries, various upper and lower bounds of 0 R α (G) and indices that represent some special cases of 0 R α (G) are obtained.
DOI : 10.2298/FIL2219443M
Classification : 05C50, 15A18
Keywords: Topological indices, vertex degree, general Randić index 
Marjan Matejić; Şerife Burcu Bozkurt Altındağ; Emina Milovanović; Igor Milovanović. On the bounds of zeroth–order general Randić index. Filomat, Tome 36 (2022) no. 19, p. 6443 . doi: 10.2298/FIL2219443M
@article{10_2298_FIL2219443M,
     author = {Marjan Mateji\'c and \c{S}erife Burcu Bozkurt Alt{\i}nda\u{g} and Emina Milovanovi\'c and Igor Milovanovi\'c},
     title = {On the bounds of zeroth{\textendash}order general {Randi\'c} index},
     journal = {Filomat},
     pages = {6443 },
     year = {2022},
     volume = {36},
     number = {19},
     doi = {10.2298/FIL2219443M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2219443M/}
}
TY  - JOUR
AU  - Marjan Matejić
AU  - Şerife Burcu Bozkurt Altındağ
AU  - Emina Milovanović
AU  - Igor Milovanović
TI  - On the bounds of zeroth–order general Randić index
JO  - Filomat
PY  - 2022
SP  - 6443 
VL  - 36
IS  - 19
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2219443M/
DO  - 10.2298/FIL2219443M
LA  - en
ID  - 10_2298_FIL2219443M
ER  - 
%0 Journal Article
%A Marjan Matejić
%A Şerife Burcu Bozkurt Altındağ
%A Emina Milovanović
%A Igor Milovanović
%T On the bounds of zeroth–order general Randić index
%J Filomat
%D 2022
%P 6443 
%V 36
%N 19
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2219443M/
%R 10.2298/FIL2219443M
%G en
%F 10_2298_FIL2219443M

Cité par Sources :