- Tytuł:
- More on linear and metric tree maps
- Autorzy:
- Kozerenko, Sergiy
- Powiązania:
- https://bibliotekanauki.pl/articles/1397335.pdf
- Data publikacji:
- 2021
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Markov graph
metric map
non-expanding map
linear map
graph homomorphism - Opis:
- We consider linear and metric self-maps on vertex sets of finite combinatorial trees. Linear maps are maps which preserve intervals between pairs of vertices whereas metric maps are maps which do not increase distances between pairs of vertices. We obtain criteria for a given linear or a metric map to be a positive (negative) under some orientation of the edges in a tree, we characterize trees which admit maps with Markov graphs being paths and prove that the converse of any partial functional digraph is isomorphic to a Markov graph for some suitable map on a tree.
- Źródło:
-
Opuscula Mathematica; 2021, 41, 1; 55-70
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł