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author:

Chen, Xun (Chen, Xun.) [1] | Lin, Qi-zhong (Lin, Qi-zhong.) [2] (Scholars:林启忠)

Indexed by:

SCIE

Abstract:

for graphs F and G, let F -> (G, G) denote that any red/blue edge coloring of F contains a monochromatic G. De ne Folkman number f(G; t) to be the smallest order of a graph F such that F -> (G, G) and omega(F) <= t. It is shown that f(G; t) <= cn for p-arrangeable graphs with n vertices, where p >= 1, c = c(p) and t = t(p) are positive constants.

Keyword:

Folkman linear Folkman number Multi-partite regularity lemma

Community:

  • [ 1 ] [Chen, Xun]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350108, Peoples R China
  • [ 2 ] [Lin, Qi-zhong]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350108, Peoples R China

Reprint 's Address:

  • 陈勋

    [Chen, Xun]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350108, Peoples R China

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Source :

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES

ISSN: 0168-9673

CN: 11-2041/O1

Year: 2021

Issue: 1

Volume: 37

Page: 69-74

0 . 6 9 1

JCR@2021

0 . 9 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:36

JCR Journal Grade:4

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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