𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Partition of graphs with condition on the connectivity and minimum degree

✍ Scribed by Péter Hajnal

Book ID
110564390
Publisher
Springer-Verlag
Year
1983
Tongue
English
Weight
201 KB
Volume
3
Category
Article
ISSN
0209-9683

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On graphs with equal edge-connectivity a
On graphs with equal edge-connectivity and minimum degree
✍ Donald L. Goldsmith; Arthur T. White 📂 Article 📅 1978 🏛 Elsevier Science 🌐 English ⚖ 599 KB

It was proved by Chartrand f hat if G is a graph of order p for which the minimum degree is at least [&I, then the edge-connectivity of G equals the minimum degree of G. It is shown here that one may allow vertices of degree less than $p and still obtain the same conclusion, provided the degrees are

On graphs with equal edge connectivity a
On graphs with equal edge connectivity and minimum degree
✍ Béla Bollobás 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 255 KB

If a grrrph G hao edge connectivity A then the vertex fiat ha a partition V(a) = U U W ash that 61 esntainti exactly A edgea from U to W, Wen~se if Qo ia a maximal graph of order n and edge connectivity A than C$, is sbtctined from the dkjsint union of two complete oubgragh8, B,[U] and &T,[ Wg, by a

Graph decomposition with constraints on
Graph decomposition with constraints on the connectivity and minimum degree
✍ Carsten Thomassen 📂 Article 📅 1983 🏛 John Wiley and Sons 🌐 English ⚖ 145 KB 👁 1 views

## Abstract For each pair __s,t__ of natural numbers there exist natural numbers __f(s,t)__ and __g(s,t)__ such that the vertex set of each graph of connectivity at least __f(s,t)__ (respectively minimum degree at least __g(s,t))__ has a decomposition into sets which induce subgraphs of connectivit