OnL(2,1)-labeling of generalized Petersen graphs
β Scribed by Yuan-Zhen Huang, Chun-Ying Chiang, Liang-Hao Huang, Hong-Gwa Yeh
- Book ID
- 118801973
- Publisher
- Springer US
- Year
- 2011
- Tongue
- English
- Weight
- 639 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1382-6905
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π SIMILAR VOLUMES
A graph is said to be 2-extendable if any two edges which do not have a common vertex are contained in a l-factor of the graph. In this paper, we show that the generalized Petersen graph GP(n, k) is 2-extandable for all n # 2k or 3k whenever k 2 3, as conjectured by Cammack and Schrag.
A graph G is n-extendable if it is connected, contains a set of rr independent edges and every set of n-independent edges extends to (i.e. is a subset of) a perfect matching. Combining the results of this and previous papers we answer the question of 2-extendability for all the generalized Petersen