An algebraic framework of weighted directed graphs

Philippe Leroux

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-22

Abstract:

We show that an algebraic formulation of weighted directed graphs leads to introducing a k -vector space equipped with two coproducts Δ and Δ ˜ verifying the so-called coassociativity breaking equation ( Δ ˜ ⊗ id ) Δ = ( id ⊗ Δ ) Δ ˜ . Such a space is called an L -coalgebra. Explicit examples of such spaces are constructed and links between graph theory and coassociative coalgebras are given.

Date: 2003
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2003/406523.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2003/406523.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:406523

DOI: 10.1155/S0161171203302170

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().