- Tytuł:
- Intersection Dimension and Graph Invariants
- Autorzy:
-
Aravind, N.R.
Subramanian, C.R. - Powiązania:
- https://bibliotekanauki.pl/articles/32083820.pdf
- Data publikacji:
- 2021-02-01
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
circular dimension
dimensional properties
forbidden-subgraph colorings - Opis:
- We show that the intersection dimension of graphs with respect to several hereditary properties can be bounded as a function of the maximum degree. As an interesting special case, we show that the circular dimension of a graph with maximum degree Δ is at most \(O\Big(\Delta\frac{log\Delta}{log log\Delta}\Big)\). It is also shown that permutation dimension of any graph is at most $\Delta(log \Delta)^{1+o(1)}$. We also obtain bounds on intersection dimension in terms of treewidth.
- Źródło:
-
Discussiones Mathematicae Graph Theory; 2021, 41, 1; 153-166
2083-5892 - Pojawia się w:
- Discussiones Mathematicae Graph Theory
- Dostawca treści:
- Biblioteka Nauki
Artykuł