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,An Equivalent Version of the Caccetta-H?ggkvist 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 H?ggkvist (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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