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Titlebook: Discrete Mathematics and Theoretical Computer Science; 4th International Co Cristian S. Calude,Michael J. Dinneen,Vincent Vajn Conference p

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Combinatorial Problems Arising in SNP and Haplotype Analysiss paper presents a number of algorithmic and combinatorial problems that arise when studying a very common form of genomic variation, single nucleotide polymorphisms (SNPs). We review recent results and present challenging open problems.
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Listing Vertices of Simple Polyhedra Associated with Dual , Systemshm is based on a characterisation of their graphical basis structures, whose set of edges are shown to consist of vertex-disjoint components that are either a tree or a subgraph with only one cycle. The algorithm generates vertices via operations on the basis graph, rather than by simplex transforma
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On the Order Dual of a Riesz Spacectionals, and their relation to the strong extensionality, are examined. A necessary and sufficient condition for the existence of the supremum of two elements of the order dual of a Rieszs pace with unit is obtained.
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Efficient Algorithms for Disjoint Matchings among Intervals and Related Problems Such problems find applications in schedules planning. First, we propose a new incremental algorithm to compute maximum disjoint matchings among intervals. We show that this algorithm runs in .(.) time if the intervals are given ordered in input. Additionally, a shorter algorithm is given for the c
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On Functions and RelationsIn order to compare classes of multi-valued and single-valued functions with respect to the existence of refinements we extend the so called operator method [.,.] to make it applicable to such cases. Our approach sheds new light on well-studied classes like NPSV and NPMV, allows to give simpler proo
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