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楼主: Menthol
发表于 2025-3-30 10:37:37 | 显示全部楼层
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Automated Results and Conjectures on Average Distance in Graphs,ower and upper bounds, functions of the order . of . and ⊕ ∈ −, + ×, /. In 24 out of 48 cases simple bounds are obtained and proved by the system. In 21 more cases, the system provides bounds, 16 of which are proved by hand.
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https://doi.org/10.1007/978-3-662-28405-6rom . to .. The goal of this paper is to establish some basic structural properties of this (and other related) quasi-orders. For instance, we show that ≻ has antichains of arbitrarily large finite size. It appears to be an interesting question to determine if ≻ has an infinite antichain.
发表于 2025-3-31 11:32:48 | 显示全部楼层
On Edge-maps whose Inverse Preserves Flows or Tensions,rom . to .. The goal of this paper is to establish some basic structural properties of this (and other related) quasi-orders. For instance, we show that ≻ has antichains of arbitrarily large finite size. It appears to be an interesting question to determine if ≻ has an infinite antichain.
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https://doi.org/10.1007/978-1-4039-7854-7 is also well covered and has the same independence number. The notion of a 1-well-covered graph was introduced by J. Staples in her 1975 dissertation and was further investigated by M. Pinter in 1991 and later. In this note the 1-well-covered graphs with no 4-cycles are characterized.
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