Nowhere-zero 6-flows

P. D. Seymour

doi:10.1016/0095-8956(81)90058-7

Nowhere-zero 6-flows

P. D. Seymour

Research output: Contribution to journal › Article › peer-review

196 Scopus citations

Abstract

We prove that every graph with no isthmus has a nowhere-zero 6-flow, that is, a circulation in which the value of the flow through each edge is one of ±1, ±2,..., ±5. This improves Jaeger's 8-flow theorem, and approaches Tutte's 5-flow conjecture.

Original language	English (US)
Pages (from-to)	130-135
Number of pages	6
Journal	Journal of Combinatorial Theory, Series B
Volume	30
Issue number	2
DOIs	https://doi.org/10.1016/0095-8956(81)90058-7
State	Published - Apr 1981
Externally published	Yes

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1016/0095-8956(81)90058-7

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title = "Nowhere-zero 6-flows",

abstract = "We prove that every graph with no isthmus has a nowhere-zero 6-flow, that is, a circulation in which the value of the flow through each edge is one of ±1, ±2,..., ±5. This improves Jaeger's 8-flow theorem, and approaches Tutte's 5-flow conjecture.",

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AU - Seymour, P. D.

PY - 1981/4

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N2 - We prove that every graph with no isthmus has a nowhere-zero 6-flow, that is, a circulation in which the value of the flow through each edge is one of ±1, ±2,..., ±5. This improves Jaeger's 8-flow theorem, and approaches Tutte's 5-flow conjecture.

AB - We prove that every graph with no isthmus has a nowhere-zero 6-flow, that is, a circulation in which the value of the flow through each edge is one of ±1, ±2,..., ±5. This improves Jaeger's 8-flow theorem, and approaches Tutte's 5-flow conjecture.

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U2 - 10.1016/0095-8956(81)90058-7

DO - 10.1016/0095-8956(81)90058-7

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AN - SCOPUS:0001342026

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JO - Journal of Combinatorial Theory, Series B

JF - Journal of Combinatorial Theory, Series B

IS - 2

ER -

Nowhere-zero 6-flows

Abstract

All Science Journal Classification (ASJC) codes

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