We extend Ahlbrandt and Ziegler’s reconstruction results ([AZ]) to the metric setting: we show that separably categorical structures are determined, up to bi-interpretability, by their automorphism groups.

An L(2, 1)-labeling of a graph G is a function f from the vertex set V (G) into the set of nonnegative integers such that | f (x) − f (y)| ≥ 2 if d(x, y) = 1 and | f (x) − f (y)| ≥ 1 if d(x, y) = 2, where d(x, y) denotes the distance between x and y in G. The L(2, 1)-labeling number, λ(G), of G is the minimum k where G has an L(2, 1)-labeling f with k being the absolute difference between the l...

School choice has presented economists with opportunities to study and design student assignment systems, which in turn have helped push forward the frontiers of mechanism design theory. In this survey, we discuss the student assignment problem in school choice, related issues, assignment mechanisms and new developments in the theory and practice of mechanism design within the context of school...

Robust object tracking is required by many vision applications, and it will be useful for the motion analysis of moving object if we can not only track the object, but also make clear the corresponding relation of each part between consecutive frames. For this purpose, we propose a new method for moving object extraction and tracking based on the exclusive block matching. We build a cost matrix...

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Given a flight schedule, which is a set of flight segments with specified departure and arrival times, and a set of aircraft:, the fleet assignment problem is to determine which aircraft type should fly each flight segment. The objective is to maximize revenue minus operating costs. In the basic fleet assignment problem considered by Hane et al. (1995) a daily, domestic fleet assignment prohlem...

a New York State Office of Children and Family Services, Room 313 South, 52 Washington Street, Rensselaer, NY 12144, United States b Center for Applied Behavioral Health Policy, Arizona State University, Mail Code 3220, 500 N. 3rd St. Ste 200, Phoenix, AZ 85004–2135, United States c School of Criminal Justice, University at Albany, 135 Western Ave., Albany, NY 12222, United States d School of S...