Geodesic
Weighted Tree-Numbers of Matroid Complexes
Discrete mathematics & theoretical computer science, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015), DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) (2015).

Voir la notice de l'article provenant de la source Episciences

We give a new formula for the weighted high-dimensional tree-numbers of matroid complexes. This formula is derived from our result that the spectra of the weighted combinatorial Laplacians of matroid complexes consist of polynomials in the weights. In the formula, Crapo’s $\beta$-invariant appears as the key factor relating weighted combinatorial Laplacians and weighted tree-numbers for matroid complexes. 
@article{DMTCS_2015_special_285_a3,
     author = {Kook, Woong and Lee, Kang-Ju},
     title = {Weighted {Tree-Numbers} of {Matroid} {Complexes}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)},
     year = {2015},
     doi = {10.46298/dmtcs.2459},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2459/}
}
TY  - JOUR
AU  - Kook, Woong
AU  - Lee, Kang-Ju
TI  - Weighted Tree-Numbers of Matroid Complexes
JO  - Discrete mathematics & theoretical computer science
PY  - 2015
VL  - DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2459/
DO  - 10.46298/dmtcs.2459
LA  - en
ID  - DMTCS_2015_special_285_a3
ER  - 
%0 Journal Article
%A Kook, Woong
%A Lee, Kang-Ju
%T Weighted Tree-Numbers of Matroid Complexes
%J Discrete mathematics & theoretical computer science
%D 2015
%V DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2459/
%R 10.46298/dmtcs.2459
%G en
%F DMTCS_2015_special_285_a3
Kook, Woong; Lee, Kang-Ju. Weighted Tree-Numbers of Matroid Complexes. Discrete mathematics & theoretical computer science, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015), DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) (2015). doi : 10.46298/dmtcs.2459. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2459/

Cité par Sources :