๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Hypothetical complexity of the nowhere-zero 5-flow problem

โœ Scribed by Kochol, Martin


Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
251 KB
Volume
28
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.

โœฆ Synopsis


We show that if the well-known 5-Flow Conjecture of Tutte is not true, then the problem to determine whether a (cubic) graph admits a nowherezero 5-flow is NP-complete.


๐Ÿ“œ SIMILAR VOLUMES


The size of graphs without nowhere-zero
โœ Hong-Jian Lai ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 428 KB ๐Ÿ‘ 1 views

Let G be a 2-edge-connected simple graph with order n. We show that if IV(G)l 5 17, then either G has a nowhere-zero 4-flow, or G is contractible to the Petersen graph. We also show that for n large, if Iโ‚ฌ(G)J L (' 2 17) + 34, then either G has a nonwhere-zero 4-flow, or G can be contracted to the P