𝔖 Bobbio Scriptorium
✦   LIBER   ✦

4-Regular Graphs without 3-Regular Subgraphs

✍ Scribed by LIMIN ZHANG


Book ID
119862816
Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
457 KB
Volume
576
Category
Article
ISSN
0890-6564

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Dense Graphs without 3-Regular Subgraphs
✍ L. Pyber; V. Rodl; E. Szemeredi πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 436 KB
Subgraphs of 4-Regular Planar Graphs
✍ Chris Dowden; Louigi Addario-Berry πŸ“‚ Article πŸ“… 2010 πŸ› Springer 🌐 English βš– 645 KB
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

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