Geodesic
c 2 invariants of recursive families of graphs
Annales de l’Institut Henri Poincaré D, Tome 6 (2019) no. 2, pp. 289-311.

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

The c 2 invariant, defined by Schnetz in [17], is an arithmetic graph invariant created towards a better understanding of Feynman integrals.

This paper looks at some graph families of interest, with a focus on decompleted toroidal grids. Specifically, the c 2 invariant for p=2 is shown to be zero for all decompleted non-skew toroidal grids. We also calculate c 2 (2) (G) for G a family of graphs called X-ladders. Finally, we show these methods can be applied to any graph with a recursive structure, for any fixed p.

Accepté le :
Publié le :
DOI : 10.4171/aihpd/72
Classification : 05-XX, 12-XX, 81-XX
Keywords: $c_2$ invariants, recursive families of graphs, Kirchhoff polynomials, toroidal grids, spanning forest polynomials 
@article{AIHPD_2019__6_2_289_0,
     author = {Chorney, Wesley and Yeats, Karen},
     title = {$c_2$ invariants of recursive families of graphs},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
     pages = {289--311},
     volume = {6},
     number = {2},
     year = {2019},
     doi = {10.4171/aihpd/72},
     mrnumber = {3950656},
     zbl = {1414.05152},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/aihpd/72/}
}
TY  - JOUR
AU  - Chorney, Wesley
AU  - Yeats, Karen
TI  - $c_2$ invariants of recursive families of graphs
JO  - Annales de l’Institut Henri Poincaré D
PY  - 2019
SP  - 289
EP  - 311
VL  - 6
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4171/aihpd/72/
DO  - 10.4171/aihpd/72
LA  - en
ID  - AIHPD_2019__6_2_289_0
ER  - 
%0 Journal Article
%A Chorney, Wesley
%A Yeats, Karen
%T $c_2$ invariants of recursive families of graphs
%J Annales de l’Institut Henri Poincaré D
%D 2019
%P 289-311
%V 6
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4171/aihpd/72/
%R 10.4171/aihpd/72
%G en
%F AIHPD_2019__6_2_289_0
Chorney, Wesley; Yeats, Karen. $c_2$ invariants of recursive families of graphs. Annales de l’Institut Henri Poincaré D, Tome 6 (2019) no. 2, pp. 289-311. doi : 10.4171/aihpd/72. http://geodesic.mathdoc.fr/articles/10.4171/aihpd/72/

Cité par Sources :