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question describe dynamic algorithms for data compression based on letter frequencies as they change as characters are
question define quad trees and explain how images can be represented using them describe how images can be rotated
question compute the number of different ways n queens can be arranged on an n times n chessboard so that no two queens
question construct a huffman code for the symbols with ascii codes given the frequency of their occurrence in
question find a minimum spanning tree of each of these graphs where the degree of each vertex in the spanning tree does
question three couples arrive at the bank of a river each of the wives is jealous and does not trust her husband when
question suppose that in a long bit string the frequency of occurrence of a 0 bit is 09 and the frequency of a 1 bit is
question which of the graphs in exercise are caterpillarsexercise a tree with n vertices is called graceful if its
question a prove or disprove that all trees whose edges form a single path are gracefulb prove or disprove that all
question find a degree-constrained spanning tree of the given graph where each vertex has degree less than or equal to
question given the adjacency matrix of a rooted tree and a vertex in the tree find the parent children ancestors
question draw the game tree for nim if the starting position consists of two piles with one and four stones
question a describe the huffman coding algorithm for constructing an optimal code for a set of symbols given the
question show that every forest can be colored using two colors a b-tree of degree k is a rooted tree such that all its
question show that if g is a weighted graph with distinct edge weights then for every simple circuit of g the edge of
question a how many edges does a tree with n vertices haveb what do you need to know to determine the number of edges
question a what is the height of a rooted treeb what is a balanced treec how many leaves can an m-ary tree of height h
question find a maximum spanning tree for the weighted graph in exerciseexercise prims algorithm to find a minimum
question find the second least expensive communications network connecting the five computer centers in the problem
question give an algorithm to build a rooted spanning tree for connected directed graphs in which each vertex has the
question describe a variation of depth-first search that assigns the smallest available positive integer to a vertex
question use mathematical induction to prove that breadth-first search visits vertices in order of their level in the
question show that if g is a directed graph and t is a spanning tree constructed using depth-first search then g
question use exercise i to construct an algorithm for determining whether a directed graph contains a circuitexercise
question the roads represented by this graph are all unpaved the lengths of the roads between pairs of towns are