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A graph G = (V,E) is 2-colorable if each vertex can be labeled either red or blue in such a way that for any (u, v) 2 E, u and v are allotted different colors. Illustrate how to use depth-first search to find out in time O(|E|+|V |) whether undirected graph is 2-colorable. Describe and explain your strategy.
Assume we have problem space where there is uniform branching factor b and there is single goal node at depth m. Determine the minimum number of nodes expanded and storage required for BFS and DFS?
A prefix of a string is a substring string at the beginning of the given string. The prefixes of "carbon" are: c, ca, car, carb, carbo and carbon.
Create the graphical representation of Newick format tree given below. Label each leaf with appropriate sequence identifier, and label each branch with its appropriate length.
In array is pointer to linked list of nodes each of which starts with corresponding letter. Write algorithms to insert the entry into list and to find entry in the list.
Consider the following algorithm for finding the smallest element in an unsorted array: RANDOMMIN(A[1 .. n]). What is the exact expected number of executions of line ( )?
Write down the program which does the basic stack operations: Make the stack. Push element into the stack. Pop element from the stack.
Write an algorithm or code segment for locating the nth successor of an item in a circlar linked list (the nth item that follows the given item in the list).
Discuss and define normalization and what are the basic steps of the normalization process?
Show the result of inserting these keys using linear probing, using quadratic probing with c1 = 1 and c2 = 3, and using double hashing with h2(k) = 1 + (k mod (m ¡ 1)).
Under normal situations, auditing focuses on failures to access rather than successful accesses. Explain why it might be a good concept to audit successful access to documents in a directory that contains highly confidential documents.
Discuss how does a programmer typically get access to a Graphics object when coding an applet?
Explain the process of insertion into a heap-implemented priority queue, and informally explain its complexity and the process of removal from a heap-implemented priority queue, and informally explain its complexity.
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