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The creation and growth of components of a given complexity in a random graph process are studied. In particular, the expected number and total size of all such components is found...
We consider three variants of the open-end bin packing problem. Such variants of bin packing allow the total size of items packed into a bin to exceed the capacity of a bin, provi...
Two players want to eat a sliced pizza by alternately picking its pieces. The pieces may be of various sizes. After the first piece is eaten every subsequently picked piece must be...
Given a set of m identical bins of size 1, the online input consists of a (potentially, infinite) stream of items in (0, 1]. Each item is to be assigned to a bin upon arrival. The ...
We show that the Parikh image of the language of an NFA with n states over an alphabet of size k can be described as a finite union of linear sets with at most k generators and to...
Consider the following file caching problem: in response to a sequence of requests for files, where each file has a specified size and retrieval cost, maintain a cache of files of ...
Given a set R of red points and a set B of blue points in the plane of total size n, we study the problem of determining all angles for which there exists an L-shape containing al...
Farnaz Sheikhi, Mark de Berg, Ali Mohades, Mansoor...