On sparse graphs with dense long paths
✍ Scribed by P. Erdös; R.L. Graham; E. Szemerédi
- Book ID
- 103929803
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 298 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0898-1221
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📜 SIMILAR VOLUMES
Let I(t) be the set of integers with the property that in every Pt-free connected graph G, the i-center C,(G) induces a connected subgraph. What is the minimum element of /(t)? In this paper, we prove that this minimum is [2t/3] -1 if t = 0 or Z(mod3) and is [ 2 t / 3 ] otherwise. Furthermore, as co
## Abstract Let __G__ be a graph of order __n__ and define __NC(G)__ = min{|__N__(__u__) ∪ __N__(__v__)| |__uv__ ∉ __E__(__G__)}. A cycle __C__ of __G__ is called a __dominating cycle__ or __D__‐__cycle__ if __V__(__G__) ‐ __V__(__C__) is an independent set. A __D__‐__path__ is defined analogously.