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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.
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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:
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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