Geodesic
Spectra of copies of Bethe trees attached to path and applications
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 33 (2008), p. 59 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

The Bethe tree $B_{d,k}$ is the rooted tree of $k$ levels whose root vertex has degree $d$ , the vertices from level 2 to level $k-1$ have degree $d+1$ , and the vertices at level $k$ have degree 1. This paper gives a decomposition of the characteristic polynomial of the adacency matrix of the tree $T(d,k,r)$ , obtained by attaching copies of $B(d,k)$ to the vertices of the $r$-vertex path. Moreover, lower and upper bounds for the energy of $T(d,k,r)$ are obtained.
Classification : 05C50
Keywords: spectrum (of graph), energy (of graph), Bethe tree 
@article{BASS_2008_33_a3,
     author = {Mar{\'\i}a Robbiano and I. Gutman and R. Jim\'enez and B. San Martin},
     title = {Spectra of copies of {Bethe} trees attached to path and applications},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {59 },
     year = {2008},
     volume = {33},
     zbl = {1199.05240},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASS_2008_33_a3/}
}
TY  - JOUR
AU  - María Robbiano
AU  - I. Gutman
AU  - R. Jiménez
AU  - B. San Martin
TI  - Spectra of copies of Bethe trees attached to path and applications
JO  - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
PY  - 2008
SP  - 59 
VL  - 33
UR  - http://geodesic.mathdoc.fr/item/BASS_2008_33_a3/
LA  - en
ID  - BASS_2008_33_a3
ER  - 
%0 Journal Article
%A María Robbiano
%A I. Gutman
%A R. Jiménez
%A B. San Martin
%T Spectra of copies of Bethe trees attached to path and applications
%J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
%D 2008
%P 59 
%V 33
%U http://geodesic.mathdoc.fr/item/BASS_2008_33_a3/
%G en
%F BASS_2008_33_a3
María Robbiano; I. Gutman; R. Jiménez; B. San Martin. Spectra of copies of Bethe trees attached to path and applications. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 33 (2008), p. 59 . http://geodesic.mathdoc.fr/item/BASS_2008_33_a3/