- Tytuł:
- Decomposition of the Product of Cycles Based on Degree Partition
- Autorzy:
-
Borse, Y. M.
Shaikh, S. R. - Powiązania:
- https://bibliotekanauki.pl/articles/31343576.pdf
- Data publikacji:
- 2019-02-01
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
hypercube
Cartesian product
n-connected
regular
bipan- cyclic
spanning subgraph - Opis:
- The Cartesian product of n cycles is a 2n-regular, 2n-connected and bi- pancyclic graph. Let G be the Cartesian product of n even cycles and let 2n = n1+ n2+ ・ ・ ・ + nk with k ≥ 2 and ni ≥ 2 for each i. We prove that if k = 2, then G can be decomposed into two spanning subgraphs G1 and G2 such that each Gi is ni-regular, ni-connected, and bipancyclic or nearly bipancyclic. For k > 2, we establish that if all ni in the partition of 2n are even, then G can be decomposed into k spanning subgraphs G1, G2, . . ., Gk such that each Gi is ni-regular and ni-connected. These results are analogous to the corresponding results for hypercubes.
- Źródło:
-
Discussiones Mathematicae Graph Theory; 2019, 39, 1; 241-256
2083-5892 - Pojawia się w:
- Discussiones Mathematicae Graph Theory
- Dostawca treści:
- Biblioteka Nauki
Artykuł