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,An Equivalent Version of the Caccetta-Häggkvist Conjecture in an Online Load Balancing Problem, 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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Moderner Tunnelbau bei der Münchner U-Bahnphs. (A set . of vertices of a graph . is called (.,.). if for every vertex . ∈ ., |. ∩ .(.)| ∈ ., and for every . ∉ ., |. ∩ .(.)| ∈ ., where . and . are sets of nonnegative integers and .(.) denotes the open neighborhood of the vertex . in ..) It was known that for any two nonempty finite sets . an
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https://doi.org/10.1007/978-3-322-95052-9ch a way that (.) ∈ . if and only if |.. ∩ ..| ≥ min (..,..). No algorithm for recognizing tolerance graphs in general is known. In this paper we present an .(. + .) algorithm for recognizing tolerance graphs that are also bipartite, where . and . are the number vertices and edges of the graph, resp
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