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- W3048159377 abstract "For graphs G, F and H, let (Grightarrow (F,H)) signify that any edge coloring of G by red and blue contains either a red F or a blue H. Thus the Ramsey number R(F, H) is (min {r;|; K_rrightarrow (F,H)}). In this note, we consider an optimization problem as follows. For an integer (kge 1), let ({mathbb {G}}={G_k,G_{k+1},dots }) be a class of graphs (G_n) with (delta (G_n)ge 1). We define the critical Ramsey number (R_{mathbb {G}}(F,H)) as (max {n;|;K_rsetminus G_n rightarrow (F,H),;G_nin mathbb {G}}), where (r=R(F,H)). For some pairs F and H, we shall determine (R_{mathbb {G}}(F,H)), where ({mathbb {G}}) consists of books, matchings and complete graphs, respectively." @default.
- W3048159377 created "2020-08-13" @default.
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- W3048159377 date "2020-01-01" @default.
- W3048159377 modified "2023-09-24" @default.
- W3048159377 title "Maximum Subgraphs in Ramsey Graphs" @default.
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- W3048159377 doi "https://doi.org/10.1007/978-3-030-57602-8_38" @default.
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