For two bipartite graphs G and H, define BRR(G, H) to be the least positive integer N such that any coloring of the edges of K-N,(N) with any number of colors will result in a monochromatic copy of G or a rainbow copy of H. In this paper, we determine the exact values for BRR(K-1,K-n, B(s,t)), BRR(B(t,t), K-1,K-n)and bounds for BRR(B(s, t), K-1,K-n)BRR(B(s, t), mK(2)) and BRR(B(t, t), mK(2)).
机构:
Inst Teknol Bandung, Fac Math & Nat Sci, Combinatorial Math Res Grp, Jl Ganesha 10, Bandung 40132, IndonesiaInst Teknol Bandung, Fac Math & Nat Sci, Combinatorial Math Res Grp, Jl Ganesha 10, Bandung 40132, Indonesia
Fitriani, D.
Salman, A. N. M.
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Inst Teknol Bandung, Fac Math & Nat Sci, Combinatorial Math Res Grp, Jl Ganesha 10, Bandung 40132, IndonesiaInst Teknol Bandung, Fac Math & Nat Sci, Combinatorial Math Res Grp, Jl Ganesha 10, Bandung 40132, Indonesia
机构:
Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo, BrazilUniv Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo, Brazil
Mota, G. O.
Sarkoezy, G. N.
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Worcester Polytech Inst, Dept Comp Sci, Worcester, MA 01609 USA
Hungarian Acad Sci, Alfred Renyi Inst Math, H-1364 Budapest, HungaryUniv Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo, Brazil
Sarkoezy, G. N.
Schacht, M.
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Univ Hamburg, Fachbereich Math, D-20146 Hamburg, GermanyUniv Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo, Brazil
Schacht, M.
Taraz, A.
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Tech Univ Hamburg, Inst Math, D-21073 Hamburg, GermanyUniv Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo, Brazil