The maximum size of hypergraphs without generalized 4-cycles
✍ Scribed by Oleg Pikhurko; Jacques Verstraëte
- Book ID
- 108167257
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 241 KB
- Volume
- 116
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A conjecture of V. So s [3] is proved that any set of 3 4 ( n 3 )+cn 2 triples from an n-set, where c is a suitable absolute constant, must contain a copy of the Fano configuration (the projective plane of order two). This is an asymptotically sharp estimate.
A graph G is called k-choosable if k is a number such that if we give lists of k colors to each vertex of G there is a vertex coloring of G where each vertex receives a color from its own list no matter what the lists are. In this paper, it is shown that each plane graph without 4-cycles is 4-choosa
Soit H = (X. ~1 un hypergraphe h-uniforme avec IX] = net soit L h ~(H! le graphe Jont les sommets reprdsentent les arates de H, deux sommets 6lant reli6s si et seulement si t~s z~r6tes qu'ils reprdsen!ent intersectent en h -1 sommet,=. Nous montrons que sif,, t(H) ne contienl pas de cycle, alors I~[