| Title:
|
Classification of tensor products of symmetric graphs (English) |
| Author:
|
Imrich, Wilfried |
| Author:
|
Pultr, Aleš |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
32 |
| Issue:
|
2 |
| Year:
|
1991 |
| Pages:
|
315-322 |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
symmetric graph |
| Keyword:
|
tensor product |
| MSC:
|
05C99 |
| MSC:
|
18B10 |
| MSC:
|
18D10 |
| idZBL:
|
Zbl 0755.18001 |
| idMR:
|
MR1137793 |
| . |
| Date available:
|
2009-01-08T17:44:30Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/116973 |
| . |
| Reference:
|
[1] Eilenberg S., Kelly G.M.: Closed categories.Proc. of the Conference on Categorical Algebra, La Jolla 1965, Springer Verlag (1966), 421-562. Zbl 0192.10604, MR 0225841 |
| Reference:
|
[2] Imrich W., Izbicki H.: Associative products of graphs.Mh. Math. 80 (1975), 277-281. Zbl 0328.05136, MR 0404058 |
| Reference:
|
[3] Kelly G.M., Mac Lane S.: Coherence in closed categories.J. of Pure and Appl. Algebra 1 (1971), 97-140. Zbl 0215.09703, MR 0283045 |
| Reference:
|
[4] Mac Lane S.: Categories for the working mathematician.Grad. Texts in Math. 5, Springer 1971. Zbl 0906.18001, MR 0354798 |
| Reference:
|
[5] Mac Lane S.: Natural associativity and commutativity.Rice University Studies 49 (1963), 28-46. MR 0170925 |
| Reference:
|
[6] Pultr A.: Extending tensor products to structures of closed categories.Comment. Math. Univ. Carolinae 13 (1972), 599-616. Zbl 0254.18008, MR 0318263 |
| Reference:
|
[7] Pultr A.: Tensor products in the category of graphs.Comment. Math. Univ. Carolinae 11 (1970), 619-639. Zbl 0214.51102, MR 0387373 |
| Reference:
|
[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 |
| . |
