Degree Sequences and the Existence ofk-Factors
β Scribed by D. Bauer; H. J. Broersma; J. van den Heuvel; N. Kahl; E. Schmeichel
- Book ID
- 106047979
- Publisher
- Springer Japan
- Year
- 2011
- Tongue
- English
- Weight
- 289 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract For a signed graph __G__ and function $f: V(G) \rightarrow Z$, a signed __f__βfactor of __G__ is a spanning subgraph __F__ such that sdeg~__F__~(__Ο __)β=β__f__(__Ο __) for every vertex __Ο __ of __G__, where sdeg(__Ο __) is the number of positive edges incident with __v__ less the number o
## Abstract Degree conditions on the vertices of a __t__βtough graph __G__(1 β¦ __t__ β¦ 2) that ensure the existence of a 2βfactor in __G__ are presented. These conditions are asymptotically best possible for every __t__ Ο΅ [1, 3/2] and for infinitely many __t__ Ο΅ [3/2, 2].