Tuesday, July 16, 2013

1307.3928 (G. H. E. Duchamp et al.)

A combinatorial non-commutative Hopf algebra of graphs    [PDF]

G. H. E. Duchamp, N. Hoang-Nghia, D. Manchon, A. Tanasa
A non-commutative, planar, Hopf algebra of rooted trees was proposed in L. Foissy, Bull. Sci. Math. 126 (2002) 193-239. In this paper we propose such a non-commutative Hopf algebra for graphs. In order to define the necessary order relation on the left hand side of our graph coproduct, we use a quantum field theoretical (QFT) idea, namely the one of introducing discrete scales on each edge of the graph (which, within the QFT framework, corresponds to energy scales of the associated propagators).
View original: http://arxiv.org/abs/1307.3928

No comments:

Post a Comment