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question give an algorithm that determines whether a graph has a spanning tree finds such a tree if it exists and takes
question it is also possible to write a version of the randomized selection algorithm analogous to slower quicksort
question compare and contrast some of the most important sorting algorithms in terms of their complexity and when they
question describe the search techniques used by the crawlers and spiders in different search engines on the
question describe an algorithm based on depth-first search to find the strongly connected components of a directed
question describe an algorithm based on depth-first search for finding the articulation points of a
question define the type of graph known as a mesh of trees explain how this graph is used in applications to very large
question describe the techniques used by chess-playing programs such as deep blue explain the properties of the deep
question define a heap and explain how trees can be turned into heaps why are heaps useful in
question find a minimum spanning tree of the graph that connects the capital cities of the 50 states in the united
question compare the number of comparisons needed to sort lists of n elements for n 100 1000 and 10000 from the set of
question compute the number of different spanning trees of kn for n 1 2 3 4 5 6 conjecture a formula for the number of
question suppose that e is an edge in a weighted graph that is incident to a vertex v such that the weight of e does
question suppose that g is a directed graph with no circuits describe how depth-first search can be used to carry out a
question show that if every circuit not passing through any vertex other than its initial vertex more than once in a
question in this exercise we will develop an algorithm to find the strong components of a directed graph g v e recall
question devise an algorithm for constructing a rooted tree from the universal addresses of its leaves a cut set of a
question show that the vertex of largest degree in bk is the root a rooted tree t is called an sk-tree if it satisfies
question a describe kruskals algorithm and prims algorithm for finding minimum spanning treesb illustrate how kruskals
question a what is a minimum spanning tree of a connected weighted graphb describe at least two different applications
question a explain how backtracking can be used to determine whether a simple graph can be colored using n colorsb show
question a describe two different algorithms for finding a spanning tree in a simple graphb illustrate how the two
question a what is a spanning tree of a simple graphb which simple graphs have spanning treesc describe at least two
question a explain how to use preorder in order and post order traversals to find the prefix infix and postfix forms of
question a define preorder in order and post order tree traversalb give an example of preorder post order and in order