南开大学学报(自然科学版) ›› 2021 ›› Issue (2): 27-.

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自由和绑定生成森林中树的数目对(英文)

  

  • 出版日期:2021-04-20 发布日期:2021-06-27

  • Online:2021-04-20 Published:2021-06-27

摘要: Let N be the set of pairs (k,l ) ∈ (N ∪ {∞})2 such that on some infinite electric network, wired spanning forest has l trees almost surely, while free spanning forest has k trees with positive probability.It's proved that N = {(k,l ) ∈ N2 | k ≤ l } ∪ {(∞,∞) } ∪ {(k,∞) | k ∈ N } .

关键词: free spanning forest, wired spanning forest, tree number pair

Abstract: