WebDec 4, 2024 · We study the online maximum coverage problem on a line, in which, given an online sequence of sub-intervals (which may intersect among each other) of a target large interval and an integer k, we aim to select at most k of the sub-intervals such that the total covered length of the target interval is maximized. The decision to accept or reject … Webthe interval-set-cover problem with O(nα/(1−α)) update time (modulo the dependencies on the approximation parameter ε ). Using this data structure, we construct a dynamic
Re ned Algorithms for Hitting Many Intervals - Chalmers
WebOct 27, 2024 · On Competitive Permutations for Set Cover by Intervals. We revisit the problem of computing an optimal partial cover of points by intervals. We show that the greedy algorithm computes a permutation Π = π_1, π_2,… of the intervals that is 3/4-competitive for any prefix of k intervals. That is, for any k, the intervals π_1 ∪⋯∪π_k ... A set of intervals J is called a covering of P if each point in P is contained in at least one interval of Q. The Rainbow covering problem is the problem of finding a rainbow set Q that is a covering of P. The problem is NP-hard (by reduction from linear SAT). A more general notion is conflict-free covering. In this problem: See more In combinatorics and computer science, covering problems are computational problems that ask whether a certain combinatorial structure 'covers' another, or how large the structure has to be to do that. Covering … See more In some covering problems, the covering should satisfy some additional requirements. In particular, in the rainbow covering problem, each of the original objects has a "color", and it is required that the covering contains exactly one (or at most one) object of … See more There are various kinds of covering problems in graph theory, computational geometry and more; see Category:Covering problems. Other stochastic related versions of the problem can be found. For Petri nets, for example, the covering problem is defined … See more toby barrie
Greedy Approach for Solving Interval-Covering Problems
WebNov 22, 2024 · Abstract and Figures. We study the online maximum coverage problem on a line, in which, given an online sequence of sub-intervals (which may intersect among … WebJun 9, 2024 · We introduce a new decision problem, called Packed Interval Covering (PIC) and show that it is NP-complete. Example of an instance of the Packed Interval … WebOct 7, 2024 · It can be observed that the most optimal choice of the interval from a point p in the target range is the interval (u, v) such that u <= p and v is the maximum possible. … penny dale ten in the bed