Geodesic
Lower Bounds for Inverse Sum Indeg Index of Graphs
Kragujevac Journal of Mathematics, Tome 44 (2020) no. 4, p. 551 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

Let $G=(V,E)$, $V=\{1,2,\ldots,n\}$, be a simple connected graph with $n$ vertices and $m$ edges and let $d_1\geq d_2\geq\cdots\geq d_n>0$, be the sequence of its vertex degrees. With $i\sim j$ we denote the adjacency of the vertices $i$ and $j$ in $G$. The inverse sum indeg index is defined as $ISI=\sum \frac{d_i\,d_j}{d_i+d_j}$ with summation going over all pairs of adjacent vertices. We consider lower bounds for $ISI$. We first analyze some lower bounds reported in the literature. Then we determine some new lower bounds.
Classification : 05C12 05C50
Keywords: degree (of vertex), degree (of edge), inverse sum indeg index, Zagreb index 
@article{KJM_2020_44_4_a5,
     author = {I. Gutman and M. Mateji\'c and E. Milovanovi\'c and I. Milovanovi\'c},
     title = {Lower {Bounds} for {Inverse} {Sum} {Indeg} {Index} of {Graphs}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {551 },
     year = {2020},
     volume = {44},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2020_44_4_a5/}
}
TY  - JOUR
AU  - I. Gutman
AU  - M. Matejić
AU  - E. Milovanović
AU  - I. Milovanović
TI  - Lower Bounds for Inverse Sum Indeg Index of Graphs
JO  - Kragujevac Journal of Mathematics
PY  - 2020
SP  - 551 
VL  - 44
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/KJM_2020_44_4_a5/
LA  - en
ID  - KJM_2020_44_4_a5
ER  - 
%0 Journal Article
%A I. Gutman
%A M. Matejić
%A E. Milovanović
%A I. Milovanović
%T Lower Bounds for Inverse Sum Indeg Index of Graphs
%J Kragujevac Journal of Mathematics
%D 2020
%P 551 
%V 44
%N 4
%U http://geodesic.mathdoc.fr/item/KJM_2020_44_4_a5/
%G en
%F KJM_2020_44_4_a5
I. Gutman; M. Matejić; E. Milovanović; I. Milovanović. Lower Bounds for Inverse Sum Indeg Index of Graphs. Kragujevac Journal of Mathematics, Tome 44 (2020) no. 4, p. 551 . http://geodesic.mathdoc.fr/item/KJM_2020_44_4_a5/