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author:

Jiang, Hongbi (Jiang, Hongbi.) [1] | Yang, Daqing (Yang, Daqing.) [2]

Indexed by:

Scopus SCIE

Abstract:

The fractional arboricity of a graph G, denoted by I"(f) (G), is defined as . The celebrated Nash-Williams' Theorem states that a graph G can be partitioned into at most k forests if and only if I"(f) (G)aek. The Nine Dragon Tree (NDT) Conjecture [posed by Montassier, Ossona de Mendez, Raspaud, and Zhu, in "Decomposing a graph into forests", J. Combin. Theory Ser. B 102 (2012) 38-52] asserts that if, then G decomposes into k+1 forests with one having maximum degree at most d. In this paper, we prove the Nine Dragon Tree (NDT) Conjecture.

Keyword:

arboricity decomposition of a graph fractional arboricity Nash-Williams' Theorem Nine Dragon Tree (NDT) Conjecture

Community:

  • [ 1 ] [Jiang, Hongbi]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350003, Fujian, Peoples R China
  • [ 2 ] [Yang, Daqing]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350003, Fujian, Peoples R China

Reprint 's Address:

  • 杨大庆

    [Yang, Daqing]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350003, Fujian, Peoples R China

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Source :

COMBINATORICA

ISSN: 0209-9683

Year: 2017

Issue: 6

Volume: 37

Page: 1125-1137

1 . 4 0 6

JCR@2017

1 . 0 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:71

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 12

SCOPUS Cited Count: 10

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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