Let Forb(n,m)(H) denote the class of all H-free graphs on n (labelled) vertices with m edges. In this note we estimate the cardinality of \Forb(n,m)(H)\ by establishing good bounds for the probability that a random graph in the G(n,m)-model does not contain a given subgraph.
机构:
Tel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Math & Comp Sci, IL-69978 Tel Aviv, IsraelTel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Math & Comp Sci, IL-69978 Tel Aviv, Israel
Alon, N
Krivelevich, M
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机构:Tel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Math & Comp Sci, IL-69978 Tel Aviv, Israel
Krivelevich, M
Sudakov, B
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机构:Tel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Math & Comp Sci, IL-69978 Tel Aviv, Israel
机构:
Nankai Univ, Ctr Combinator, Tianjin, Peoples R China
Nankai Univ, LPMC, Tianjin, Peoples R ChinaNankai Univ, Ctr Combinator, Tianjin, Peoples R China
Lan, Yongxin
Shi, Yongtang
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Nankai Univ, Ctr Combinator, Tianjin, Peoples R China
Nankai Univ, LPMC, Tianjin, Peoples R ChinaNankai Univ, Ctr Combinator, Tianjin, Peoples R China
Shi, Yongtang
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Song, Zi-Xia
[J].
ELECTRONIC JOURNAL OF COMBINATORICS,
2019,
26
(02):