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Look on the web for a data base that can be converted to an undirected graph. For example, in Science there is a data base of proteins and their interactions. Each protein can be represented by a vertex and two proteins that interact are connected with an edge. Find a data set that will yield a graph with at least 1000 vertices and a number of edges that is roughly in the range or one to two times the number of vertices. Thus, the graph will be quite sparse and have many connected components. Find all connected components and create a table with the number of components of each size. For example, 312 isolated vertices. 124 components consisting of two vertices connected by an edge, 29 components with three vertices, etc.
Submit solutions for all of the following questions. Remember to set out your answers showing all steps completely and explicitly justify your steps. 1. Provide, in no more than
i need help in math
Differentiate following. f ( x ) = sin (3x 2 + x ) Solution It looks as the outside function is the sine & the inside function is 3x 2 +x. The derivative is then.
evaluate limit as x approaches 0 (x squared times sin (1/x)
Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2, Subject to the constraints: X1+ X2 = 4 X1+ X2 = 2 X1, X2 = 0
52/7
Importance of positioning
1/8 +2 3/4
Find x and y in each paarallelogram.
As noted, Euler's method is little used in practice, as there are much better ways of solving initial value problems. By better, we mean, "able to achieve a result of the same prec
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