Random 4-regular graphs have 3-star decompositions asymptotically almost surely
نویسندگان
چکیده
منابع مشابه
Random 4-regular graphs have claw-decompositions asymptotically almost surely
In 2006, Barát and Thomassen conjectured that the edges of every planar 4-regular 4-edgeconnected graph can be decomposed into claws. Shortly afterward, Lai constructed a counterexample to this conjecture. Using the small subgraph conditioning method of Robinson and Wormald, we find that a random 4-regular graph has a claw-decomposition asymptotically almost surely, provided that the number of ...
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2018
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2018.04.008