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author:

Wang, Xiuwen (Wang, Xiuwen.) [1] | Lin, Qizhong (Lin, Qizhong.) [2]

Indexed by:

EI

Abstract:

For any bipartite graph H, let us denote the bipartite Ramsey number brk(H;Kn,n) to be the minimum integer N such that any edge-coloring of the complete bipartite graph KN,N by k+1 colors contains a monochromatic copy of H in some color i for 1≤i≤k, or a monochromatic copy of Kn,n in the last color. In this note, it is shown that for any fixed integers t≥2 and s≥(t−1)!+1, there exists a constant c=c(t)>0 such that br2(Kt,s;Kn,n)≥c()t for sufficiently large n; and for k≥3, brk(Kt,s;Kn,n)=Θ(). © 2016 Elsevier B.V.

Keyword:

Color Graph theory

Community:

  • [ 1 ] [Wang, Xiuwen]Center for Discrete Mathematics, Fuzhou University, Fuzhou; 350108, China
  • [ 2 ] [Lin, Qizhong]Center for Discrete Mathematics, Fuzhou University, Fuzhou; 350108, China

Reprint 's Address:

  • [lin, qizhong]center for discrete mathematics, fuzhou university, fuzhou; 350108, china

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Source :

Discrete Applied Mathematics

ISSN: 0166-218X

Year: 2016

Volume: 213

Page: 238-242

0 . 9 5 6

JCR@2016

1 . 0 0 0

JCR@2023

ESI HC Threshold:177

JCR Journal Grade:2

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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