書誌事項
- タイトル別名
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- Graphs for menshikov Zuev s problems on r percolation model
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In 1993, Menshikov and Zuev introduced ρ−percolation model, in which a path of a graph is ρ−passable in a bond percolation configuration if the concentration of open bonds on it is at least ρ, and concerning this model, they gave four open problems. In this paper, we answer three problems out of them : the first one is whether the ρ−percolation critical probability is equal to the critical probability corresponding to finite/infinite expectation of the number of ρ−connectable vertices from a fixed vertex, the second is whether the 1-p ercolation critical probability is equal to the Bernoulli bond percolation critical probability, and finally the third is whether the probability of the existence of ρ−passable path of length exceeding n starting from a fixed vertex always decays exponentially in the subcritical phase.
収録刊行物
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- 岡山大学経済学会雑誌
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岡山大学経済学会雑誌 40 (4), 115-125, 2009-03-10
岡山大学経済学会
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詳細情報 詳細情報について
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- CRID
- 1390009224595274368
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- NII論文ID
- 40016483066
- 120002308476
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- NII書誌ID
- AN00032897
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- ISSN
- 03863069
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- NDL書誌ID
- 10183118
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- IRDB
- NDL
- CiNii Articles