𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hypergraphs with no special cycles

✍ Scribed by Richard Anstee


Book ID
110564334
Publisher
Springer-Verlag
Year
1983
Tongue
English
Weight
342 KB
Volume
3
Category
Article
ISSN
0209-9683

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Hypergraphs with no cycle of length 4
✍ Ervin GyΕ‘ri; Nathan Lemons πŸ“‚ Article πŸ“… 2012 πŸ› Elsevier Science 🌐 English βš– 183 KB
Sparse color-critical graphs and hypergr
✍ H. L. Abbott; B. Zhou; D. R. Hare πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 709 KB

## Abstract We give constructions of color‐critical graphs and hypergraphs with no short cycles and with relatively few edges. In particular, we show that, for each __n__ ≧ 3, the smallest number of edges in a 3‐critical triangle‐free __n__‐graph (hypergraph) with __m__ vertices is __m__ + __o(m)__

Color-critical graphs and hypergraphs wi
✍ H.L. Abbott; D.R. Hare; B. Zhou πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 378 KB

We give constructions of color-critical graphs and hypergraphs with no cycles of length 5 or shorter and with relatively few edges.

Graphs whose neighborhoods have no speci
✍ A.E. Brouwer; P. Duchet; A. Schrijver πŸ“‚ Article πŸ“… 1983 πŸ› Elsevier Science 🌐 English βš– 480 KB

To a graph G is canonically associated its neighborhood-hypergraph, X(G), formed by the closed neighborhoods of the vertices of G. We characterize the graphs G such that (i) X(G) has no induced cycle, or (ii) #(G) is a balanced hypergraph or (iii) X(G) is triangle free. (i) is another short proof of

On the maximum number of edges in a hype
✍ J.-C. Bermond; P. Frankl; F. Sterboul πŸ“‚ Article πŸ“… 1980 πŸ› Elsevier Science 🌐 English βš– 122 KB

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~[