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Full duality among graph algebras and flat graph algebras

✍ Scribed by William A. Lampe; George F. McNulty; Ross Willard


Publisher
Springer
Year
2001
Tongue
English
Weight
223 KB
Volume
45
Category
Article
ISSN
0002-5240

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πŸ“œ SIMILAR VOLUMES


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✍ Dejan DeliΔ‡ πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 136 KB

In this article the classification of finite flat graph algebras which have finite equational bases is given in terms of omitted induced subgraphs. The result is related to an earlier result obtained for finite graph algebras by Baker, McNulty, and Werner.

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## Abstract We study generalizations of the β€œcontraction‐deletion” relation of the Tutte polynomial, and other similar simple operations, to other graph parameters. The question can be set in the framework of graph algebras introduced by Freedman at al [Reflection positivity, rank connectivity, and