Sequence Assembly
... • Could use Hamiltonian path approach, but not useful due to NP-completeness • Instead, use Eulerian path approach • Eulerian path: A path through a graph that traverses every edge exactly once • Construct graph with all (k-1)-mers as vertices • For each k-mer in spectrum, add edge from vertex re ...
... • Could use Hamiltonian path approach, but not useful due to NP-completeness • Instead, use Eulerian path approach • Eulerian path: A path through a graph that traverses every edge exactly once • Construct graph with all (k-1)-mers as vertices • For each k-mer in spectrum, add edge from vertex re ...
Quadratic Functions - Fundamental Coaching Centre
... In this section, we will learn the general characteristics of quadratic functions by plotting their graphs. Then these characteristics will be used to sketch other quadratic graphs. ...
... In this section, we will learn the general characteristics of quadratic functions by plotting their graphs. Then these characteristics will be used to sketch other quadratic graphs. ...
open pdf file
... work and 4 hours of finishing. Each slalom ski requires 8 hours of design and 12 hours of finishing. Furthermore, the total number of hours allocated for design work is 160, and the total available hours for finishing work is 180 hours. Finally, the number b off ttrick i k skis ki produced d d mustt ...
... work and 4 hours of finishing. Each slalom ski requires 8 hours of design and 12 hours of finishing. Furthermore, the total number of hours allocated for design work is 160, and the total available hours for finishing work is 180 hours. Finally, the number b off ttrick i k skis ki produced d d mustt ...
Practice Problems Test 1 - Clayton State University
... Math 1101 Test 1 Practice Problems These problems are not intended to cover all possible test topics. These problems should serve as on activity in preparing for your test, but other study is required to fully prepare. These problems contain some mulitple choice question, please consult with your in ...
... Math 1101 Test 1 Practice Problems These problems are not intended to cover all possible test topics. These problems should serve as on activity in preparing for your test, but other study is required to fully prepare. These problems contain some mulitple choice question, please consult with your in ...
Planar Point Location - Brown Computer Science
... a query point means identifying first the slab, then the trapezoid that contains it. The primary data structure is a segment tree T . Each segment represents a horizontal slab of the plane. Each leaf of T contains a balanced tree. These secondary structures contain all the graph edges that pass thro ...
... a query point means identifying first the slab, then the trapezoid that contains it. The primary data structure is a segment tree T . Each segment represents a horizontal slab of the plane. Each leaf of T contains a balanced tree. These secondary structures contain all the graph edges that pass thro ...
Sample Activity 3
... Table of Values, Graph) Explain to the students that there are many different types of patterns but the focus for representing a given pattern in many different ways will be on patterns that increase/decrease by the same amount. i. Have students translate a concrete or pictorial pattern to a table o ...
... Table of Values, Graph) Explain to the students that there are many different types of patterns but the focus for representing a given pattern in many different ways will be on patterns that increase/decrease by the same amount. i. Have students translate a concrete or pictorial pattern to a table o ...
Ch2-Sec2.5
... as x gets increasingly larger. 2.716923932 As we can see from the table, the values approach a 2.718145927 number whose 2.718280469 approximation is 2.718 ...
... as x gets increasingly larger. 2.716923932 As we can see from the table, the values approach a 2.718145927 number whose 2.718280469 approximation is 2.718 ...
Name
... Non vertical lines are parallel if they have the same slope and different y-intercepts. The graphs of y = 2x 6 and y = 2x + 3 are parallel because they have the same slope, 2, but different y-intercepts, 6 and 3. ...
... Non vertical lines are parallel if they have the same slope and different y-intercepts. The graphs of y = 2x 6 and y = 2x + 3 are parallel because they have the same slope, 2, but different y-intercepts, 6 and 3. ...
talk
... problem, as a means to speed up several computations on sparse matrices during the fifties. The bandwidth problem for graphs was first posed as an open problem during a graph theoretical meeting in 1967 by Harary. For more detailed survey of graph layout problems see. The Minimal Cutwidth Linear Arr ...
... problem, as a means to speed up several computations on sparse matrices during the fifties. The bandwidth problem for graphs was first posed as an open problem during a graph theoretical meeting in 1967 by Harary. For more detailed survey of graph layout problems see. The Minimal Cutwidth Linear Arr ...
2.2
... Quadratic Regression on the Graphing Calculator To see the scatter plot of these data points press 2nd Y= to get STAT PLOT. Press ENTER on #1. If Plot 2-3 are ON, then change those to OFF. You can turn all plots off by pressing #4. Then return to this screen and press #1 to turn this plot on. This ...
... Quadratic Regression on the Graphing Calculator To see the scatter plot of these data points press 2nd Y= to get STAT PLOT. Press ENTER on #1. If Plot 2-3 are ON, then change those to OFF. You can turn all plots off by pressing #4. Then return to this screen and press #1 to turn this plot on. This ...
Name: Date: Period:____ A12 Graphing Square Root Functions Gra
... Name:_________________________________________________ A12 Graphing Square Root Functions ...
... Name:_________________________________________________ A12 Graphing Square Root Functions ...
Graph points on the coordinate plane to solve real
... The numbers on a coordinate grid are used to locate points. Each point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an xcoordinate, and a number on the y-axis called a ycoordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate). The o ...
... The numbers on a coordinate grid are used to locate points. Each point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an xcoordinate, and a number on the y-axis called a ycoordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate). The o ...
Poster file
... C = the number of black squares and black up-pointing triangles in the top part C’= the number of white squares and white down-pointing triangles in the bottom part h = the number of rows of black squares + the number of rows of black up-pointing triangles in the top part = the number of rows of whi ...
... C = the number of black squares and black up-pointing triangles in the top part C’= the number of white squares and white down-pointing triangles in the bottom part h = the number of rows of black squares + the number of rows of black up-pointing triangles in the top part = the number of rows of whi ...
THE CHEMICAL FORMULA CnH2n+2 AND ITS MATHEMATICAL
... If v3 is of degree one, then Theorem 1 is satisfied. Therefore we need to consider only the case when deg(v3 ) > 1. Then v3 has at least two neighbors, of which one is v2 and another is, say, v4 . The vertex v4 must be different from v0 and v1 , since in the opposite case T would contain a four- or ...
... If v3 is of degree one, then Theorem 1 is satisfied. Therefore we need to consider only the case when deg(v3 ) > 1. Then v3 has at least two neighbors, of which one is v2 and another is, say, v4 . The vertex v4 must be different from v0 and v1 , since in the opposite case T would contain a four- or ...
Vertex cover in cubic graphs with large girth
... The length of the smallest cycle (girth of G ) is large C ⊂ V s.t. every edge has at least one endpoint in C ...
... The length of the smallest cycle (girth of G ) is large C ⊂ V s.t. every edge has at least one endpoint in C ...
UE Mathematics for Computer Science Counting stacks (10 points)
... Traveling salesman problem (10 points) Let us consider a salesman who wants to organize the visit of his clients as best as possible. It consists in visiting them in various cities with his vehicle. Of course, he must go in every cities and his objective is to minimize the total distance done with h ...
... Traveling salesman problem (10 points) Let us consider a salesman who wants to organize the visit of his clients as best as possible. It consists in visiting them in various cities with his vehicle. Of course, he must go in every cities and his objective is to minimize the total distance done with h ...
Activity overview - TI Education
... Part 2 – Draw and Explore Tangent Line with Technology Press c and select New Document. (Unless you want to save what you are working on, arrow over to “No” and press ·.) Select Add Graphs by using arrows and pressing ·. Graph the equation y = x2 in f1 by pressing X q ·. Draw a tangent line on the g ...
... Part 2 – Draw and Explore Tangent Line with Technology Press c and select New Document. (Unless you want to save what you are working on, arrow over to “No” and press ·.) Select Add Graphs by using arrows and pressing ·. Graph the equation y = x2 in f1 by pressing X q ·. Draw a tangent line on the g ...
Graph coloring
In graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called ""colors"" to elements of a graph subject to certain constraints. In its simplest form, it is a way of coloring the vertices of a graph such that no two adjacent vertices share the same color; this is called a vertex coloring. Similarly, an edge coloring assigns a color to each edge so that no two adjacent edges share the same color, and a face coloring of a planar graph assigns a color to each face or region so that no two faces that share a boundary have the same color.Vertex coloring is the starting point of the subject, and other coloring problems can be transformed into a vertex version. For example, an edge coloring of a graph is just a vertex coloring of its line graph, and a face coloring of a plane graph is just a vertex coloring of its dual. However, non-vertex coloring problems are often stated and studied as is. That is partly for perspective, and partly because some problems are best studied in non-vertex form, as for instance is edge coloring.The convention of using colors originates from coloring the countries of a map, where each face is literally colored. This was generalized to coloring the faces of a graph embedded in the plane. By planar duality it became coloring the vertices, and in this form it generalizes to all graphs. In mathematical and computer representations, it is typical to use the first few positive or nonnegative integers as the ""colors"". In general, one can use any finite set as the ""color set"". The nature of the coloring problem depends on the number of colors but not on what they are.Graph coloring enjoys many practical applications as well as theoretical challenges. Beside the classical types of problems, different limitations can also be set on the graph, or on the way a color is assigned, or even on the color itself. It has even reached popularity with the general public in the form of the popular number puzzle Sudoku. Graph coloring is still a very active field of research.Note: Many terms used in this article are defined in Glossary of graph theory.