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The Incidence Hopf Algebra of Graphs

โœ Scribed by Humpert, Brandon; Martin, Jeremy L.


Book ID
118197930
Publisher
Society for Industrial and Applied Mathematics
Year
2012
Tongue
English
Weight
237 KB
Volume
26
Category
Article
ISSN
0895-4801

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๐Ÿ“œ SIMILAR VOLUMES


Hopf algebra methods in graph theory
โœ William R. Schmitt ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 790 KB
On a Hopf Algebra in Graph Theory
โœ Sergei K. Lando ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 230 KB

We introduce and start the study of a bialgebra of graphs, which we call the 4-bialgebra, and of the dual bialgebra of 4-invariants. The 4-bialgebra is similar to the ring of graphs introduced by W. T. Tutte in 1946, but its structure is more complicated. The roots of the definition are in low dimen