Online Bin Stretching is a semi-online variant of bin packing in which the algorithm has to use the same number of bins as an optimal packing, but is allowed to slightly overpack the bins. The goal is to minimize the amount of overpacking, i.e., the...
Rod packings in the 3-torus encode information of some crystal structures in crystallography. They can be viewed as links in the 3-torus, and tools from 3-manifold geometry and topology can be used to study their complements. In this paper, we initia...
The bin packing problem is an optimization problem, in which items of different sizes must be packed into a finite number of bins or containers, each
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A variant of the Largest Area Fit First (LAFF) algorithm + brute force algorithm (⭐ 526)
May 20, 2025 · Packing and moving can feel overwhelming, but with the right strategies, the process can feel less overwhelming. Whether you're moving across town or to a new state, these tips will help …
I ship out April 29th and was just putting everything together. I used advice from the AF packing list, my recruiter, and of course Reddit. Just wanted to know if I'm good or if i should remove/add an...
In geometry, circle packing is the study of the arrangement of circles (of equal or varying sizes) on a given surface such that no overlapping occurs
May 21, 2025 · From packing methods to toiletries and souvenirs, discover practical, space-saving tips to help you travel lighter and smarter on any trip.
How’s my packing I have, Shaving stuff up to two weeks A hoodie 10 pairs of underwear 1 pair of shorts 1 pair of sweat pants 3 pairs of jeans 10 pairs of socks 6 shirts 3 spandex A power bank ...
In geometry, a sphere packing is an arrangement of non-overlapping spheres within a containing space. The spheres considered are usually all of identical
Packing mishaps range from inconvenient (heading to the Caribbean without a swimsuit) to disastrous (discovering you left the country without your wallet), but most are preventable. We've created...
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Sep 25, 2025 · If you're on a mission to stay a little more organized on your next trip, you've come to the right place, because I'm sharing my 15 golden rules of packing that I think every traveler should...
In the Colored Bin Packing problem a sequence of items of sizes up to $1$ arrives to be packed into bins of unit capacity. Each item has one of $c\geq 2$ colors and an additional constraint is that we cannot pack two items of the same color next to e...
It was recently proved that every claw-free cubic graph admits a (1, 1, 2, 2)-packing coloring--that is, its vertex set can be partitioned into two 1-packings and two 2-packings. This result was established by Brešar, Kuenzel, and Rall [Discrete Mat...
We link the thermodynamics of colloidal suspensions to the statistics of regular and random packings. Random close packing has defied a rigorous definition yet, in three dimensions, there is near universal agreement on the volume fraction at which...
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For bin packing, the input consists of n items with sizes s_1,...,s_n in [0,1] which have to be assigned to a minimum number of bins of size 1. The seminal Karmarkar-Karp algorithm from '82 produces a solution with at most OPT + O(log^2 OPT) bins....