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Proof of a Conjecture of Bollobás and Eldridge for Graphs of Maximum Degree Three*

✍ Scribed by Béla Csaba†‡; Ali Shokoufandeh‡; Endre Szemerédi


Publisher
Springer-Verlag
Year
2003
Tongue
English
Weight
432 KB
Volume
23
Category
Article
ISSN
0209-9683

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📜 SIMILAR VOLUMES


Proof of a Conjecture of Bollobás and Ko
✍ Yoshiyasu Ishigami 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 242 KB

For any integer r \ 1, let a(r) be the largest constant a \ 0 such that if E > 0 and 0 < c < c 0 for some small c 0 =c 0 (r, E) then every graph G of sufficiently large order n and at least edges contains a copy of any (r+1)-chromatic graph H of independence number a(H) [ (a -E) log n log(1/c) .

On a conjecture of bollobás and bosák
✍ Štefan Znám 📂 Article 📅 1982 🏛 John Wiley and Sons 🌐 English ⚖ 364 KB

## Abstract It is shown that, for all sufficiently large __k__, the complete graph __K~n~__ can be decomposed into __k__ factors of diameter 2 if and only if __n__ ≥ 6__k__.