𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Note on 5-Cycle Double Covers

✍ Scribed by Arthur Hoffmann-Ostenhof


Book ID
120788713
Publisher
Springer Japan
Year
2012
Tongue
English
Weight
99 KB
Volume
29
Category
Article
ISSN
0911-0119

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On cycle double covers of line graphs
✍ Leizhen Cai; Derek Corneil πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 257 KB

It is shown that if a graph has a cycle double cover, then its line graph also has a cycle double cover. The converse of this result for 2-edge-connected graphs would imply the truth of the cycle double cover conjecture. Cycle Double Cover Conjecture (CDCC). Every 2-edge-connected graph has a CDC.

A note on shortest cycle covers of cubic
✍ Xinmin Hou; Cun-Quan Zhang πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 92 KB πŸ‘ 1 views

## Abstract Let __SCC__~3~(__G__) be the length of a shortest 3‐cycle cover of a bridgeless cubic graph __G__. It is proved in this note that if __G__ contains no circuit of length 5 (an improvement of Jackson's (__JCTB 1994__) result: if __G__ has girth at least 7) and if all 5‐circuits of __G_

Double cycle covers and the petersen gra
✍ Paul A. Catlin πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 711 KB

Let O(G) denote the set of odd-degree vertices of a graph G. Let t E N and let 9, denote the family of graphs G whose edge set has a partition This partition is associated with a double cycle cover of G. We show that if a graph G is at most 5 edges short of being 4-edge-connected, then exactly one