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Nankai Symposium on Physics,Geometry and Number Theory 2017
Nankai Symposium Physics,Geometry and Number Theory 2017
2017/3/28
Nankai Symposium on Physics,Geometry and Number Theory 2017 is sponsored by the Chen Shengshen Institute,Nankai University.Dates:July 31-August 5,2017.
Tight Oracle Bounds for Low-rank Matrix Recovery from a Minimal Number of Random Measurements
Matrix completion The Dantzig selector oracle inequalities norm of random matrices convex optimization and semidefinite programming
2015/6/17
This paper presents several novel theoretical results regarding the recovery of a low-rank matrix from just a few measurements consisting of linear combinations of the matrix entries. We show that pro...
Computing the obstacle number of a plane graph
obstacle number of a plane graph Computational Geometry
2011/10/9
Abstract: An obstacle representation of a plane graph G is V(G) together with a set of opaque polygonal obstacles such that G is the visibility graph on V(G) determined by the obstacles. We investigat...
The number of convex pentagons and hexagons in an $n$-triangular net
n-triangular net convex pentagon convex hexagon regular hexagon
2011/2/22
In this paper, we obtain the counting formulaes of convex pentagons and convex hexagons, respectively, in an n-triangular net by solving the corresponding recursive formulaes.
On the heterochromatic number of hypergraphs associated to geometric graphs and to matroids
hypergraphs associated geometric graphs matroids
2010/11/24
The heterochromatic number hc(H) of a non-empty hypergraph H is the smallest integer k such that for every colouring of the vertices of H with exactly k colours, there is a hyperedge of H all of whos...
Edge-intersection graphs of grid paths: the bend-number
Edge-intersection graphs of grid paths bend-number
2010/12/6
We investigate edge-intersection graphs of paths in the plane grid re-garding a parameter called the bend-number. The bend-number is related to the interval-number and the track-number of a graph.
On the Probability of the Number of Solutions for the P4P Problem
Camera calibration pose determination perspective four point problem P4P probability number of solutions
2013/9/9
This paper studies the multi-solution phenomenon for the perspective four point(P4P) problem from geometric and algebraic aspects. We give a pure geometric proof that the P4P problem could have up to ...