The Incidence Hopf Algebra of Graphs
The graph algebra is a commutative, cocommutative, graded, connected incidence Hopf algebra, whose basis elements correspond to finite simple graphs and whose Hopf product and coproduct admit simple combinatorial descriptions. We give a new formula for the antipode in the graph algebra in terms of a...
Main Authors: | Brandon Humpert, Jeremy L. Martin |
---|---|
Format: | Article |
Language: | English |
Published: |
Discrete Mathematics & Theoretical Computer Science
2011-01-01
|
Series: | Discrete Mathematics & Theoretical Computer Science |
Subjects: | |
Online Access: | https://dmtcs.episciences.org/2930/pdf |
Similar Items
-
A polynomial realization of the Hopf algebra of uniform block permutations
by: Rémi Maurice
Published: (2012-01-01) -
Hopf Algebra of Sashes
by: Shirley Law
Published: (2014-01-01) -
Partial categorification of Hopf algebras and representation theory of towers of \mathcalJ-trivial monoids
by: Aladin Virmaux
Published: (2014-01-01) -
The # product in combinatorial Hopf algebras
by: Jean-Christophe Aval, et al.
Published: (2011-01-01) -
Combinatorial Hopf Algebras and Towers of Algebras
by: Nantel Bergeron, et al.
Published: (2008-01-01)