𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Graph decomposition with constraints on the connectivity and minimum degree

✍ Scribed by Carsten Thomassen


Publisher
John Wiley and Sons
Year
1983
Tongue
English
Weight
145 KB
Volume
7
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.

✦ Synopsis


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 connectivity (respectively minimum degree) at least s and t, respectively.


πŸ“œ SIMILAR VOLUMES


Realizability of p-point graphs with pre
✍ F. T. Boesch; C. L. Suffel πŸ“‚ Article πŸ“… 1980 πŸ› John Wiley and Sons 🌐 English βš– 316 KB

## Abstract It is well known that certain graph‐theoretic extremal questions play a central role in the study of communication network vulnerability. Herein we consider a generalization of some of the classical results in this area. We define a (__p__, Ξ”, Ξ΄, Ξ») graph as a graph having __p__ points,

Degree sequence conditions for equal edg
✍ Lutz Volkmann πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 87 KB

## Abstract Using the well‐known Theorem of TurΓ‘n, we present in this paper degree sequence conditions for the equality of edge‐connectivity and minimum degree, depending on the clique number of a graph. Different examples will show that these conditions are best possible and independent of all the

On the Inapproximability of Disjoint Pat
✍ Bin Ma; Lusheng Wang πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 230 KB

In this paper, we study the inapproximability of several well-known optimization problems in network optimization. We show-that the max directed vertex-disjoint paths problem cannot be approximated within ratio 2 log 1&= n unless NP DTIME[2 polylog n ], the max directed edge-disjoint paths problem c