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The Incidence Hopf Algebra of Graphs

✍ 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
DOI: 10.1137/110820075

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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