Geodesic
Derived graphs of some graphs
Kragujevac Journal of Mathematics, Tome 36 (2012) no. 2, p. 309 .

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

The derived graph of a simple graph $G$, denoted by $G^\dagger$, is the graph having the same vertex set as $G$, in which two vertices are adjacent if and only if their distance in $G$ is two. Continuing the studies communicated in Kragujevac J. Math. {\bf 34} (2010), 139-146, we examined derived graphs of some graphs and determine their spectra.
Classification : 05C12 05C50 05C75
Keywords: Derived graph, spectrum (of graph), second-stage spectrum (of graph) 
@article{KJM_2012_36_2_a13,
     author = {Sudhir R. Jog and Satish P. Hande and Ivan Gutman and S. Burcu Bozkurt},
     title = {Derived graphs of some graphs},
     journal = {Kragujevac Journal of Mathematics},
     pages = {309 },
     publisher = {mathdoc},
     volume = {36},
     number = {2},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2012_36_2_a13/}
}
TY  - JOUR
AU  - Sudhir R. Jog
AU  - Satish P. Hande
AU  - Ivan Gutman
AU  - S. Burcu Bozkurt
TI  - Derived graphs of some graphs
JO  - Kragujevac Journal of Mathematics
PY  - 2012
SP  - 309 
VL  - 36
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KJM_2012_36_2_a13/
LA  - en
ID  - KJM_2012_36_2_a13
ER  - 
%0 Journal Article
%A Sudhir R. Jog
%A Satish P. Hande
%A Ivan Gutman
%A S. Burcu Bozkurt
%T Derived graphs of some graphs
%J Kragujevac Journal of Mathematics
%D 2012
%P 309 
%V 36
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KJM_2012_36_2_a13/
%G en
%F KJM_2012_36_2_a13
Sudhir R. Jog; Satish P. Hande; Ivan Gutman; S. Burcu Bozkurt. Derived graphs of some graphs. Kragujevac Journal of Mathematics, Tome 36 (2012) no. 2, p. 309 . http://geodesic.mathdoc.fr/item/KJM_2012_36_2_a13/