𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Matching extension and minimum degree

✍ Scribed by N. Ananchuen; L. Caccetta


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
495 KB
Volume
170
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Matchings in hypergraphs of large minimu
✍ Daniela KΓΌhn; Deryk Osthus πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 112 KB

## Abstract It is well known that every bipartite graph with vertex classes of size __n__ whose minimum degree is at least __n__/2 contains a perfect matching. We prove an analog of this result for hypergraphs. We also prove several related results that guarantee the existence of almost perfect mat

Degrees and matchings
✍ V ChvΓ‘tal; D Hanson πŸ“‚ Article πŸ“… 1976 πŸ› Elsevier Science 🌐 English βš– 415 KB
Matchings and matching extensions in gra
✍ Ciping Chen πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 360 KB

Let G be a graph with a perfect matching and k be an integer such that l~<k< I V(G)l/2. Then G is said to be k-extendable if every matching of size k in G extends to a perfect matching of G. Plummer (1994) proved that every (2k + 1)-connected K~,s-free graph of even order is k-extendable. In this p

Matching, matroids, and extensions
✍ William H. Cunningham πŸ“‚ Article πŸ“… 2002 πŸ› Springer-Verlag 🌐 English βš– 248 KB
Girth, minimum degree, and circumference
✍ M. N. Ellingham; D. K. Menser πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 129 KB
Mean distance and minimum degree
✍ Kouider, Mekkia; Winkler, Peter πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 80 KB

We prove that in a graph of order n and minimum degree d, the mean distance Β΅ must satisfy This asymptotically confirms, and improves, a conjecture of the computer program GRAFFITI. The result is close to optimal; examples show that for any d, Β΅ may be larger than n/(d + 1).