Classification of tensor products of symmetric graphs

Wilfried Imrich; Aleš Pultr

Commentationes Mathematicae Universitatis Carolinae (1991)

  • Volume: 32, Issue: 2, page 315-322
  • ISSN: 0010-2628

Abstract

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In the category of symmetric graphs there are exactly five closed tensor products. If we omit the requirement of units, we obtain twelve more.

How to cite

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Imrich, Wilfried, and Pultr, Aleš. "Classification of tensor products of symmetric graphs." Commentationes Mathematicae Universitatis Carolinae 32.2 (1991): 315-322. <http://eudml.org/doc/247282>.

@article{Imrich1991,
abstract = {In the category of symmetric graphs there are exactly five closed tensor products. If we omit the requirement of units, we obtain twelve more.},
author = {Imrich, Wilfried, Pultr, Aleš},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {symmetric graph; tensor product; category of symmetric graphs; closed tensor products},
language = {eng},
number = {2},
pages = {315-322},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Classification of tensor products of symmetric graphs},
url = {http://eudml.org/doc/247282},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Imrich, Wilfried
AU - Pultr, Aleš
TI - Classification of tensor products of symmetric graphs
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 2
SP - 315
EP - 322
AB - In the category of symmetric graphs there are exactly five closed tensor products. If we omit the requirement of units, we obtain twelve more.
LA - eng
KW - symmetric graph; tensor product; category of symmetric graphs; closed tensor products
UR - http://eudml.org/doc/247282
ER -

References

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  1. Eilenberg S., Kelly G.M., Closed categories, Proc. of the Conference on Categorical Algebra, La Jolla 1965, Springer Verlag (1966), 421-562. Zbl0192.10604MR0225841
  2. Imrich W., Izbicki H., Associative products of graphs, Mh. Math. 80 (1975), 277-281. (1975) Zbl0328.05136MR0404058
  3. Kelly G.M., Mac Lane S., Coherence in closed categories, J. of Pure and Appl. Algebra 1 (1971), 97-140. (1971) Zbl0215.09703MR0283045
  4. Mac Lane S., Categories for the working mathematician, Grad. Texts in Math. 5, Springer 1971. Zbl0906.18001MR0354798
  5. Mac Lane S., Natural associativity and commutativity, Rice University Studies 49 (1963), 28-46. (1963) MR0170925
  6. Pultr A., Extending tensor products to structures of closed categories, Comment. Math. Univ. Carolinae 13 (1972), 599-616. (1972) Zbl0254.18008MR0318263
  7. Pultr A., Tensor products in the category of graphs, Comment. Math. Univ. Carolinae 11 (1970), 619-639. (1970) Zbl0214.51102MR0387373
  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). Zbl0245.05123

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