Titlebook: LATIN 2018: Theoretical Informatics; 13th Latin American Michael A. Bender,Martín Farach-Colton,Miguel A. M Conference proceedings 2018 Sp

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Finding Tight Hamilton Cycles in Random Hypergraphs Faster, edges correspond to consecutive segments of . vertices. We provide a first deterministic polynomial time algorithm, which finds a.a.s. tight Hamilton cycles in random .-uniform hypergraphs with edge probability at least ...Our result partially answers a question of Dudek and Frieze (Random Struct A

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Walking Through Waypoints,tion . that includes all vertices specified by a set .: the .. This waypoint routing problem finds immediate applications in the context of modern networked distributed systems. Our main contribution is an exact polynomial-time algorithm for graphs of bounded treewidth. We also show that if the numb

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Algorithms and Hardness Results for Nearest Neighbor Problems in Bicolored Point Sets,m with “training” data and design a method which uses the training data to classify new objects with the correct label. A standard scenario is that the examples are points from a metric space, and “nearby” points should have “similar” labels. In practice, it is desirable to reduce the size of the tr

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A Polynomial Sized Kernel for Tracking Paths Problem,e (minimum number of) trackers (or check points) at some specific intersections so that based on the sequence of trackers a person has encountered, we can identify the exact path traversed by the person. Motivated by such applications, we study the . problem in this paper. Given an undirected graph

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Partitioning Orthogonal Histograms into Rectangular Boxes,known except for a 4-approximation algorithm for 3D-histograms. In this paper we broaden the understanding of the 3D-histogram partitioning problem. We prove that partitioning a 3D-histogram into a minimum number of boxes is NP-hard, even for histograms of height two. This settles an open question p