Nowhere-zero 4-flow in almost Petersen-minor free graphs

Xiaofeng Wang, Cun Quan Zhang, Taoye Zhang

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Tutte [W.T. Tutte, On the algebraic theory of graph colorings, J. Combin. Theory 1 (1966) 15-20] conjectured that every bridgeless Petersen-minor free graph admits a nowhere-zero 4-flow. Let (P10)over(μ, ̄) be the graph obtained from the Petersen graph by contracting μ edges from a perfect matching. In this paper we prove that every bridgeless (P10)over(3, ̄)-minor free graph admits a nowhere-zero 4-flow.

Original languageEnglish (US)
Pages (from-to)1025-1032
Number of pages8
JournalDiscrete Mathematics
Volume309
Issue number5
DOIs
StatePublished - Mar 28 2009

Fingerprint

Coloring
Minor
Zero
Graph in graph theory
Petersen Graph
Algebraic Theory
Graph Coloring
Perfect Matching

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

Cite this

Wang, Xiaofeng ; Zhang, Cun Quan ; Zhang, Taoye. / Nowhere-zero 4-flow in almost Petersen-minor free graphs. In: Discrete Mathematics. 2009 ; Vol. 309, No. 5. pp. 1025-1032.
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Nowhere-zero 4-flow in almost Petersen-minor free graphs. / Wang, Xiaofeng; Zhang, Cun Quan; Zhang, Taoye.

In: Discrete Mathematics, Vol. 309, No. 5, 28.03.2009, p. 1025-1032.

Research output: Contribution to journalArticle

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AB - Tutte [W.T. Tutte, On the algebraic theory of graph colorings, J. Combin. Theory 1 (1966) 15-20] conjectured that every bridgeless Petersen-minor free graph admits a nowhere-zero 4-flow. Let (P10)over(μ, ̄) be the graph obtained from the Petersen graph by contracting μ edges from a perfect matching. In this paper we prove that every bridgeless (P10)over(3, ̄)-minor free graph admits a nowhere-zero 4-flow.

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