Restrictions On Smallest Counterexamples To The 5-Flow Conjecture
β Scribed by Martin Kochol*
- Publisher
- Springer-Verlag
- Year
- 2006
- Tongue
- English
- Weight
- 154 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0209-9683
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π SIMILAR VOLUMES
An inconclusive proof in a 1937 paper by G. Chogoshvili spawned an interesting dimensiontheoretic conjecture which we call the Chogoshvili-Pontrjagin Conjecture. In 1991, Y. Stemfeld found an ingenious counterexample to this conjecture which he and M. Levin greatly generalized in 1995. In this note
## Abstract The Strong Circular 5βflow Conjecture of Mohar claims that each snarkβwith the sole exception of the Petersen graphβhas circular flow number smaller than 5. We disprove this conjecture by constructing an infinite family of cyclically 4βedge connected snarks whose circular flow number eq
The bondage number h(G) of a nonempty graph G was first introduced by Fink, Jacobson, Kinch and Roberts in [3]. They generalized a former approach to domination-critical graphs, In their publication they conjectured that b(G)<d(G)+ 1 for any nonempty graph G.