DAB α - KSAintern
... On the boat to Denmark, a travel agency displays brochures for a bus tour. From previous experience it is known that 65% of the passengers read the brochure. 30% of the readers book the bus tour spontaneously, the rest of the readers will book the bus tour with a probability of 40% later. Find the p ...
... On the boat to Denmark, a travel agency displays brochures for a bus tour. From previous experience it is known that 65% of the passengers read the brochure. 30% of the readers book the bus tour spontaneously, the rest of the readers will book the bus tour with a probability of 40% later. Find the p ...
Combinatorial Geometry (CS 518)
... topics in combinatorial geometry will be covered in this course, with emphasis on currently open research problems. There are two primary texts, which will be supplemented with recent research papers which will be distributed in class. The students will be expected to know elementary probability the ...
... topics in combinatorial geometry will be covered in this course, with emphasis on currently open research problems. There are two primary texts, which will be supplemented with recent research papers which will be distributed in class. The students will be expected to know elementary probability the ...
MU UGET Maths Syllabus
... (iii) Cubic and biquadratic equations, relations between the roots and the co-efficients. Solutions of cubic and biquadratic equations given certain conditions (iv) Concept of synthetic division (without proof) and problems. Solution of equations by finding an integral root between - 3 and +3 by ins ...
... (iii) Cubic and biquadratic equations, relations between the roots and the co-efficients. Solutions of cubic and biquadratic equations given certain conditions (iv) Concept of synthetic division (without proof) and problems. Solution of equations by finding an integral root between - 3 and +3 by ins ...
Document
... • Parallelize the divide and merge steps • A trivial example is the MapReduce model • Independent map jobs followed by one or ...
... • Parallelize the divide and merge steps • A trivial example is the MapReduce model • Independent map jobs followed by one or ...
What Is...a Dimer?, Volume 52, Number 3
... (random) surfaces in R3 . Concretely, dimer coverings of the honeycomb or any of its simply connected subgraphs can be represented as tilings of the plane with 60◦ rhombi: in this case each atom is a triangle, and dimers are obtained by gluing adjacent triangles along an edge. See Figure 1 for an e ...
... (random) surfaces in R3 . Concretely, dimer coverings of the honeycomb or any of its simply connected subgraphs can be represented as tilings of the plane with 60◦ rhombi: in this case each atom is a triangle, and dimers are obtained by gluing adjacent triangles along an edge. See Figure 1 for an e ...
Graph/Network Visualization What is a Graph?
... Force Directed Edge Bundling Edges are modeled as flexible springs that are able to attract each other. ...
... Force Directed Edge Bundling Edges are modeled as flexible springs that are able to attract each other. ...
course notes
... We define a polygon to be the region of the plane bounded by a simple, closed polygonal curve. The term simple polygon is also often used to emphasize the simplicity of the polygonal curve. We will assume that the vertices are listed in counterclockwise order around the boundary of the polygon. Art ...
... We define a polygon to be the region of the plane bounded by a simple, closed polygonal curve. The term simple polygon is also often used to emphasize the simplicity of the polygonal curve. We will assume that the vertices are listed in counterclockwise order around the boundary of the polygon. Art ...
Planar separator theorem
In graph theory, the planar separator theorem is a form of isoperimetric inequality for planar graphs, that states that any planar graph can be split into smaller pieces by removing a small number of vertices. Specifically, the removal of O(√n) vertices from an n-vertex graph (where the O invokes big O notation) can partition the graph into disjoint subgraphs each of which has at most 2n/3 vertices.A weaker form of the separator theorem with O(√n log n) vertices in the separator instead of O(√n) was originally proven by Ungar (1951), and the form with the tight asymptotic bound on the separator size was first proven by Lipton & Tarjan (1979). Since their work, the separator theorem has been reproven in several different ways, the constant in the O(√n) term of the theorem has been improved, and it has been extended to certain classes of nonplanar graphs.Repeated application of the separator theorem produces a separator hierarchy which may take the form of either a tree decomposition or a branch-decomposition of the graph. Separator hierarchies may be used to devise efficient divide and conquer algorithms for planar graphs, and dynamic programming on these hierarchies can be used to devise exponential time and fixed-parameter tractable algorithms for solving NP-hard optimization problems on these graphs. Separator hierarchies may also be used in nested dissection, an efficient variant of Gaussian elimination for solving sparse systems of linear equations arising from finite element methods.