PPT-Matroid

Secretary for Regular and Decomposable Matroids Michael Dinitz Guy Kortsarz Weizmann Institute of Science Johns Hopkins University Rutgers University Camden Secretary Problem Basic 2 Danny Polo. MA F I N I C Av Prof Gama Pinto 2 1699 Lisboa Codex Portugal Komei Fukuda C N RS Paris and Graduate School of Systems Management University of Tsukuba 329l Otsuka Bunkyoku Tokyo 112 Japan Maria Leonor Moreira Centro de Matematica da Univ do Porto A Mini-Survey. Chandra . Chekuri. Univ. of Illinois, Urbana-Champaign. Submodular Set Functions. A function . f. : 2. N. . . . R . is submodular if. . f(A. ) + . f(B. ) ≥ . f(A. . B. ) + . from. Lossless Expander Graphs. Nick Harvey. U. Waterloo. TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. A. A. A. A. Maria-. Florina. . Balcan. Georgia Tech. & Representative Sets. Daniel . Lokshtanov. Alice . vs. Bob. F = {{. a,b,c. },. {. a,c,d. },. {. b,c,e. }}. {b, e}. {. a,c,d. }. {a, c}. Rules . of. . the. game. Board:. . universe. Lecture 5 – Part 1. M. Pawan Kumar. pawan.kumar@ecp.fr. Slides available online http://. cvn.ecp.fr. /personnel/. pawan. /. Submodular. Functions. Examples. Outline. Submodular. Function. Set S. Function f over power set of S. A Mini-Survey. Chandra . Chekuri. Univ. of Illinois, Urbana-Champaign. Submodular Set Functions. A function . f. : 2. N. . . . R . is submodular if. . f(A. ) + . f(B. ) ≥ . f(A. . B. ) + . Reading Group. Matroid. . Polytopes. , . Polymatroid. M. Pawan Kumar. http://. www.robots.ox.ac.uk. /~oval/. Linear Programming. Matroid. . Polytopes. Polymatroid. Outline. Polyhedron. A. x. ≤ . M. Pawan Kumar. pawan.kumar@ecp.fr. Slides available online http://. mpawankumar.info. Operations on . Matroids. Truncation. Deletion. Contraction. Duality of Deletion and Contraction. Maximum Weight Independent Set. Workshop, Adelaide, 14-15 December, 2012. David G. Glynn, CSEM. Outline of Talk. Cubic graph. Hamilton Cycle/Edge 3-colouring. Circuits, Bonds. Bond . Matroid. (Dual to Cycle . Matroid. ) of the Graph. Ola Svensson. Joint work with Moran Feldman (Open University) and Rico . Zenklusen. (ETHZ). Classic secretary problem. “job”. Classic secretary problem. GOAL: . Select best out of . job offers with probability as high as possible. Discrete Optimization Under Uncertainty Sahil singla Institute for Advanced Study and Princeton University Oct 2 nd , 2019 Example: How to Sell a Diamond? Sell One Diamond:        potential buyers with values 91 158-208 1992 Perfect Matroids ANDREAS W M DRESS AND WALTER WENZEL Department of Mathematics University qf Bielefeld Germany Matroids with an arbitrary domain of coefficients have been introduced in TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. A. A. A. A. A. Maria . Florina. . Balcan. LGO, . 11/16/2010. f(S)+f(T) . ¸. f(S . Å. T) + f(S . [. T), . Matroids. , . Submodular. Functions . M. Pawan Kumar. http://. www.robots.ox.ac.uk. /~oval/. Submodularity. Reading Group. Until 1980s. Matroids. , . Submodularity. , . Polymatroids. Submodular. Function Minimization is “Easy”.