𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Connectivity and tree structure in finite graphs

✍ Scribed by Carmesin, Johannes; Diestel, Reinhard; Hundertmark, Fabian; Stein, Maya


Book ID
125348554
Publisher
Springer-Verlag
Year
2014
Tongue
English
Weight
655 KB
Volume
34
Category
Article
ISSN
0209-9683

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Connectivity keeping trees in k-connecte
✍ W. Mader πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 86 KB

We show that one can choose the minimum degree of a k-connected graph G large enough (independent of the vertex number of G) such that G contains a copy T of a prescribed tree with the property that G -V (T ) remains k-connected.

Permutation graphs: Connected domination
✍ Charles J. Colbourn; Lorna K. Stewart πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 702 KB

Efficient algorithms are developed for finding a minimum cardinality connected dominating set and a minimum cardinality Steiner tree in permutation graphs. This contrasts with the known NP-completeness of both problems on comparability graphs in general.