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发表于 2025-3-28 15:12:11 | 显示全部楼层
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https://doi.org/10.1007/978-3-540-72941-9 a method by Crescenzi . (2004). We show that an exact analysis of their competitive ratio on certain “uniform” instances would resolve a fundamental conjecture by Caccetta and Häggkvist (1978). The conjecture is that any digraph on . nodes and minimum outdegree . must contain a directed cycle invol
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https://doi.org/10.1007/978-3-662-65584-9 whenever the corresponding colourings differ on precisely one vertex of .. We consider the following question : given ., how easily can we decide whether or not . is connected? We show that the 3-colour graph of a 3-chromatic graph is never connected, and characterise the bipartite graphs for which
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https://doi.org/10.1007/978-3-540-87399-0ng trees, bipartite perfect matchings, and ice models. The notion of an .-orientation unifies many different combinatorial structures, including the afore mentioned. We ask for the number of .-orientations and also for special instances thereof, such as Schnyder woods and bipolar orientations. The m
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https://doi.org/10.1007/978-3-663-13176-2ategies is simplified by taking into account that there exist some that never backtrack..Fomin . (2005) introduced an important graph searching variant, called ., that unifies visible and invisible graph searching. In this variant, the fugitive is invisible, and the searchers can query an oracle tha
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Computational Complexity of Generalized Domination: A Complete Dichotomy for Chordal Graphs,n flavor of existentionality - we are not able to characterize such pairs (.,.) by a structural description, but at least we can provide a recursive algorithm for their recognition. If . contains the 0 element, every graph contains a (.,.)-dominating set (the empty one), and so the nontrivial questi
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Monotonicity of Non-deterministic Graph Searching,ategies is simplified by taking into account that there exist some that never backtrack..Fomin . (2005) introduced an important graph searching variant, called ., that unifies visible and invisible graph searching. In this variant, the fugitive is invisible, and the searchers can query an oracle tha
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