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generate at random simple graphs with 10 vertices stop when you have constructed one with a hamilton circuit display a
find the shortest path a traveling salesperson can take to visit each of the capitals of the 50 states in the united
explain what community structure is in a graph representing a network such as a social network a computer network an
describe algorithms for drawing a graph on paper or on a display given the vertices and edges of the graph what
write a fortran subroutine which accepts a number to the base betin with the nin digits contained in the
a table of values of cos x is required so that linear interpolation will yield six-decimal place accuracy for any value
form a difference table for the following data and estimate the degree of the interpolating polynomial needed to
find an interval containing the real positive zero of the function fx x 2 - 2x - 2 use algorithms 31 and 32 to compute
because of the use of the product fafm in the subroutine bisect overflow or underflow may occur during the execution of
binary search the problem of table lookup consists in finding for given x an integer i such that x lies between table i
find the smallest positive root of each of the following equations to maximum precision on your computer using
write a program for the composite simpson rule inputs to the program should be fx the interval ab and the number of
use the program for simpsons rule to calculate an approximation to the integralswhich are correct to six decimal places
write a program for the corrected trapezoid rule in this case input will consist of fx facutex ab and n apply this
1 southern sporting good company makes basketballs and footballs each product is produced from two resources rubber and
build a binary search tree for the words oenology phrenology campanology ornithology ichthyology limnology alchemy and
how many comparisons are needed to locate or to add each of the words in the search tree for exercise 2 starting fresh
how many weighings of a balance scale are needed to find a counterfeit coin among eight coins if the counterfeit coin
find the least number of comparisons needed to sort five elements and devise an algorithm that sorts these elements
draw a game tree for nim if the starting position consists of three piles with one two and three stones respectively
draw a game tree for nim if the starting position consists of two piles with two and three stones respectively when
given n 1 symbols x1 x2xn xn1 appearing 1 f1 fshy2fn times in a symbol string respectively where fj is the j th
using the symbols 0 1 and 2 use ternary m 3 huffman coding to encode these letters with the given frequencies a 025 e
construct the universal address system for the given ordered rooted tree then use this to order its vertices using the
suppose that the address of the vertex v in the ordered rooted tree t is 34524a at what level is vb what is the address