Geodesic
On the kernel of tree incidence matrices
Journal of integer sequences, Tome 3 (2000) no. 1
We give a closed form, a generating function, and an asymptotic estimate for the sequence $(z_{n})_{n >= 1} = 1, 0, 3$, 8, 135, 1164, 21035,$ \dots $that gives the total multiplicity of the eigenvalue 0 in the set of $n^{n-2}$ tree incidence matrices of size n.
Classification : 05C50
Mots-clés : eigenvalue, spectra of the adjacency matrices, labeled trees 
@article{JIS_2000__3_1_a1,
     author = {Bauer,  Michael and Golinelli,  Oliver},
     title = {On the kernel of tree incidence matrices},
     journal = {Journal of integer sequences},
     year = {2000},
     volume = {3},
     number = {1},
     zbl = {0960.05068},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2000__3_1_a1/}
}
TY  - JOUR
AU  - Bauer,  Michael
AU  - Golinelli,  Oliver
TI  - On the kernel of tree incidence matrices
JO  - Journal of integer sequences
PY  - 2000
VL  - 3
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JIS_2000__3_1_a1/
LA  - en
ID  - JIS_2000__3_1_a1
ER  - 
%0 Journal Article
%A Bauer,  Michael
%A Golinelli,  Oliver
%T On the kernel of tree incidence matrices
%J Journal of integer sequences
%D 2000
%V 3
%N 1
%U http://geodesic.mathdoc.fr/item/JIS_2000__3_1_a1/
%G en
%F JIS_2000__3_1_a1
Bauer,  Michael; Golinelli,  Oliver. On the kernel of tree incidence matrices. Journal of integer sequences, Tome 3 (2000) no. 1. http://geodesic.mathdoc.fr/item/JIS_2000__3_1_a1/