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- W2182263535 abstract "Let D be a digraph, possibly infinite, V (D )a ndA(D) denote the sets of vertices and arcs of D, respectively. Ak ernelN of D is an independent set of vertices such that for every w ∈ V (D) − N there exists an arc from w to N .A setS ⊆ V (D )i s as emikernel ofD if it is independent and (u,v) ∈ A(D )w ithu ∈ S implies that there is an arc from v to some vertex in S. In this paper we introduce sufficient conditions for the existence of kernels in some kinds of infinite digraphs, such as transitive digraphs, symmetric digraphs, acyclic digraphs and digraphs without odd cycles. We use strongly the concept of semikernel." @default.
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- W2182263535 date "2010-01-01" @default.
- W2182263535 modified "2023-09-23" @default.
- W2182263535 title "Kernels in infinite digraphs" @default.
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- W2182263535 doi "https://doi.org/10.1080/09728600.2010.12088916" @default.
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