## Abstract For a connected noncomplete graph __G__, let μ(__G__):=min{max {__d__~__G__~(__u__), __d__~__G__~(v)}:__d__~__G__~(__u__, v)=2}. A well‐known theorem of Fan says that every 2‐connected noncomplete graph has a cycle of length at least min{|__V__(__G__)|, 2μ(__G__)}. In this paper, we pro
✦ LIBER ✦
Fan-type theorem for path-connectivity
✍ Scribed by Akira Saito
- Publisher
- Springer-Verlag
- Year
- 1996
- Tongue
- English
- Weight
- 219 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0209-9683
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## Abstract In this note a shortened proof is given for the Faudree—Schelp theorem on path‐connected graphs.