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Proof of the bandwidth conjecture of Bollobás and Komlós

✍ Scribed by Julia Böttcher; Mathias Schacht; Anusch Taraz


Publisher
Springer
Year
2008
Tongue
English
Weight
435 KB
Volume
343
Category
Article
ISSN
0025-5831

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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) .

Proof of a Conjecture of Bollob?s on Nes
✍ Guantao Chen; Paul Erdós; William Staton 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 221 KB

For any positive integer k, a minimum degree condition is obtained which forces a graph to have k edge-disjoint cycles C 1 , C 2 , ..., C k such that V(C 1

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__.