Tension continuous maps - Their structure and applications

نویسندگان

  • Jaroslav Nesetril
  • Robert Sámal
چکیده

We consider mappings between edge sets of graphs that lift tensions to tensions. Such mappings are called tension-continuous mappings (shortly mappings). Existence of a mapping induces a (quasi)order on the class of graphs, which seems to be an essential extension of the homomorphism order (studied extensively, see [10]). In this paper we study the relationship of the homomorphism and orders. We stress the similarities and the differences in both deterministic and random setting. Particularly, we prove that order is dense and universal and we solve a problem of M. DeVos et al. ([4]).

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عنوان ژورنال:
  • Eur. J. Comb.

دوره 33  شماره 

صفحات  -

تاریخ انتشار 2012