It is proved that non-linear systems with positive impulse functions satisfy the Aizerman conjecture in the input-output version. Besides, the stability criteria are formulated in the terms of the Hurwitzness of corresponding polynomials. In addition, new positivity conditions for impulse functions
An Equivalent Version of the 3-Flow Conjecture
β Scribed by Martin Kochol
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 88 KB
- Volume
- 83
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
β¦ Synopsis
The 3-flow conjecture of Tutte is that every bridgeless graph without a 3-edge cut has a nowhere-zero 3-flow. We show that it suffices to prove this conjecture for 5-edge-connected graphs.
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