Resource Allocation using Virtual Clusters Mark Stillwell1 David Schanzenbach1 Fr´ed´eric Vivien2,3,4,1 Henri Casanova1 1 Department of Information and Computer Sciences, University of Hawai‘i at M¯anoa, Honolulu, U

Source URL: navet.ics.hawaii.edu

• Management
• Planning
• Convex optimization
• Linear programming
• Scheduling
• Algorithm
• Greedy algorithm
• Resource allocation
• Bin packing problem
• Mathematics
• Operations research
• Applied mathematics

CCCG 2003, Halifax, Nova Scotia, August 11–13, 2003 A Combinatorial Maximum Cover Approach to 2D Translational Geometric Covering K. Daniels

Source URL: www.cccg.ca

• Heuristics
• Discrete geometry
• Mathematical optimization
• Operations research
• Minkowski addition
• Polygon
• Packing problem
• Triangle
• Geometry
• Mathematics
• Euclidean plane geometry

PRL 100, week ending 20 JUNEPHYSICAL REVIEW LETTERS

Source URL: cherrypit.princeton.edu

• Crystallography
• Lattice points
• Sphere packing
• Spheres
• Packing problem
• Circle packing
• Crystal structure
• Lattice
• Geometry of numbers
• Geometry
• Mathematics
• Discrete geometry

CCCG 2014, Halifax, Nova Scotia, August 11–13, 2014 Sphere Packing with Limited Overlap Mabel Iglesias-Ham ∗

Source URL: www.cccg.ca

• Crystallography
• Spheres
• Cubes
• Sphere packing
• Packing problem
• Lattice
• Cubic crystal system
• Brillouin zone
• Voronoi diagram
• Geometry
• Mathematics
• Discrete geometry

IMPROVE-MINT CHALLENGE: MATH ITEM 1 The figure above shows the graph of a circle with center O. If PQRO is a rectangle with area 12, what is the area of Circle O? (A) 3 (B) 4

Source URL: www.cambridgeed.com

• Quadrilaterals
• Triangle geometry
• Area
• Rectangle
• Triangle
• Radius
• Pi
• Semicircle
• Packing problem
• Geometry
• Circles
• Triangles

CCCG 2011, Toronto ON, August 10–12, 2011 New Lower Bounds for the Three-dimensional Orthogonal Bin Packing Problem∗ Chia-Hong Hsu†

Source URL: 2011.cccg.ca

PHYSICAL REVIEW E 79, 041309 共2009兲 Optimal packings of superballs Y. Jiao,1 F. H. Stillinger,2 and S. Torquato2,3,4,5 1

Source URL: cherrypit.princeton.edu

• Mathematics
• Chemistry
• Condensed matter physics
• Lattice points
• Spheres
• Sphere packing
• Packing problem
• Kepler conjecture
• Crystal structure
• Geometry
• Crystallography
• Discrete geometry

Three Dimensional Bin Packing Problem with Variable Bin Height Yong Wu a,b,∗ , Wenkai Li b , Mark Goh b,c , Robert de Souza b a Institute b The

Source URL: www98.griffith.edu.au

• Packaging
• Operations research
• Discrete geometry
• Bin packing problem
• Mathematical optimization
• Computational complexity theory
• Packing problem
• Carton
• Bounded-error probabilistic polynomial
• Theoretical computer science
• Mathematics
• Applied mathematics

JOURNAL OF MATHEMATICAL PHYSICS 51, 043302 共2010兲 Spherical codes, maximal local packing density, and the golden ratio Adam B. Hopkins,1 Frank H. Stillinger,1 and Salvatore Torquato1,2,3,4,a兲 1

Source URL: cherrypit.princeton.edu

• Spheres
• Crystallography
• Elementary geometry
• Packaging
• Packing problem
• Sphere packing
• Sphere
• Kissing number problem
• N-sphere
• Geometry
• Mathematics
• Discrete geometry

PHYSICAL REVIEW E 80, 041104 共2009兲 Dense packings of polyhedra: Platonic and Archimedean solids 1 S. Torquato1,2,3,4,5,6 and Y. Jiao6

Source URL: cherrypit.princeton.edu

• Discrete geometry
• Platonic solids
• Archimedean solids
• Crystallography
• Spheres
• Packing problem
• Sphere packing
• Honeycomb
• Truncated tetrahedron
• Geometry
• Euclidean geometry
• Convex geometry