## Abstract Let __G__ be a graph of order __n__ and define __NC(G)__ = min{|__N__(__u__) βͺ __N__(__v__)| |__uv__ β __E__(__G__)}. A cycle __C__ of __G__ is called a __dominating cycle__ or __D__β__cycle__ if __V__(__G__) β __V__(__C__) is an independent set. A __D__β__path__ is defined analogously.
Long cycles in graphs with large degree sums and neighborhood unions
β Scribed by Van den Heuvel, J.
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 801 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
We present and prove several results concerning the length of longest cycles in 2connected or I-tough graphs with large degree sums. These results improve many known results on long cycles in these graphs. We also consider the sharpness of the results and discuss some possible strengthenings.
π SIMILAR VOLUMES
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