Article
Full entry |
PDF
(0.1 MB)
Feedback
PDF
(0.1 MB)
Feedback
Keywords:
symmetric graph; tensor product
symmetric graph; tensor product
Summary:
In the category of symmetric graphs there are exactly five closed tensor products. If we omit the requirement of units, we obtain twelve more.
References:
[1] Eilenberg S., Kelly G.M.: Closed categories. Proc. of the Conference on Categorical Algebra, La Jolla 1965, Springer Verlag (1966), 421-562. MR 0225841 | Zbl 0192.10604
[2] Imrich W., Izbicki H.: Associative products of graphs. Mh. Math. 80 (1975), 277-281. MR 0404058 | Zbl 0328.05136
[3] Kelly G.M., Mac Lane S.: Coherence in closed categories. J. of Pure and Appl. Algebra 1 (1971), 97-140. MR 0283045 | Zbl 0215.09703
[4] Mac Lane S.: Categories for the working mathematician. Grad. Texts in Math. 5, Springer 1971. MR 0354798 | Zbl 0906.18001
[5] Mac Lane S.: Natural associativity and commutativity. Rice University Studies 49 (1963), 28-46. MR 0170925
[6] Pultr A.: Extending tensor products to structures of closed categories. Comment. Math. Univ. Carolinae 13 (1972), 599-616. MR 0318263 | Zbl 0254.18008
[7] Pultr A.: Tensor products in the category of graphs. Comment. Math. Univ. Carolinae 11 (1970), 619-639. MR 0387373 | Zbl 0214.51102
[8] Pultr A.: Tensor products on the category of graphs. Combinat. Struct. Appl., Proc. Calgary Internat. Conf. Combinat. Struct. Appl., Calgary 1969, 327-329 (1970). Zbl 0245.05123
Search
Partner of
