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author:

Chu, Yanan (Chu, Yanan.) [1] | Fan, Genghua (Fan, Genghua.) [2] (Scholars:范更华) | Liu, Qinghai (Liu, Qinghai.) [3] (Scholars:刘清海)

Indexed by:

SCIE

Abstract:

Gallai's conjecture asserts that a connected graph G on n vertices can be decomposed into [n/2] paths. In this paper, we prove that a connected graph with maximum degree 6, in which the vertices of degree 6 form an independent set, can be decomposed into n/2 paths, unless it is K-3, K-5 and K-5(-). (C) 2020 Elsevier B.V. All rights reserved.

Keyword:

Decomposition Gallai's conjecture Path

Community:

  • [ 1 ] [Chu, Yanan]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350108, Fujian, Peoples R China
  • [ 2 ] [Fan, Genghua]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350108, Fujian, Peoples R China
  • [ 3 ] [Liu, Qinghai]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350108, Fujian, Peoples R China

Reprint 's Address:

  • 刘清海

    [Liu, Qinghai]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350108, Fujian, Peoples R China

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Source :

DISCRETE MATHEMATICS

ISSN: 0012-365X

Year: 2021

Issue: 2

Volume: 344

0 . 9 6 1

JCR@2021

0 . 7 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:36

JCR Journal Grade:3

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 3

SCOPUS Cited Count: 5

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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