𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Subgraphs of 4-Regular Planar Graphs

✍ Scribed by Chris Dowden; Louigi Addario-Berry


Publisher
Springer
Year
2010
Tongue
English
Weight
645 KB
Volume
61
Category
Article
ISSN
0178-4617

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Three-regular Subgraphs of Four-regular
✍ O. Moreno; V.A. Zinoviev πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 85 KB

For any 4-regular graph G (possibly with multiple edges), we prove that, if the number N of distinct Euler orientations of G is such that N ≑ 1 (mod 3), then G has a 3-regular subgraph. It gives the new 4-regular graphs with multiple edges which have no 3-regular subgraphs, for which we know the num

Three-regular subgraphs of four-regular
✍ V. ChvΓ‘tal; H. Fleischner; J. Sheehan; C. Thomassen πŸ“‚ Article πŸ“… 1979 πŸ› John Wiley and Sons 🌐 English βš– 553 KB

## Abstract Berge conjectured that every finite simple 4‐regular graph __G__ contains a 3‐regular subgraph. We prove that this conjecture is true if the cyclic edge connectivity Ξ»^__c__^(__G__) of __G__ is at least 10. Also we prove that if __G__ is a smallest counterexample, then Ξ»^__c__^(__G__) i

Series-parallel subgraphs of planar grap
✍ Ehab S. Elmallah; Charles J. Colbourn πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 435 KB