Cs6515 exam 1 - Study guides, Class notes & Summaries

CS6515 Exam 2 | Questions and Correct Answers | Latest Update 2024/2025 | Graded A+ Basic Properties of Trees - Answer -Tree's are undirected, connected and acyclic that connect all nodes. 1. Tree on n vertices has (n-1) edges -> would have a cycle otherwise (more than n-1 edges means cycle) 2. In tree exactly one path between every pair of vertices (otherwise it's not connected) - More than 1 path implies cycle - less than 1 path implies not connected 3. Any connected G(V, E) wi...

Steps to solve a Dynamic Programming Problem - ANSWER-1. Define the Input and Output. 2. Define entries in table, i.e. T(i) or T(i, j) is... 3. Define a Recurrence relationship - Based on a subproblem to the main problem. (hint: use a prefix of the original input 1 < i < n). 4. Define the Pseudocode. 5. Define the Runtime of the algorithm. Use Time Function notation here => T(n) = T(n/2) + 1... DP: Types of Subproblems (4) - ANSWER-Input = x1, x2, ..., xn 1) Subproblem = x1, x2...

What is the running time for Longest Increasing Subsequence (LIS) - ANSWER-O(n^2) What is the recurrence for Longest Increasing Subsequence (LIS)? - ANSWER-L(i) = 1 + max{ L(j) | xj < xi} This reads as the answer to index I is 1 + the maximum over all j's between 1 and i where xj is less than xi What is the recurrence for Longest Common Subsequence (LCS) - ANSWER-L(i,j) = 1 + L(i-1, j-1) if xi = yj L(i,j) = max(L(i-1,j),L(i,j-1)) otherwise What is the running time for Longest Common...

CS6515 Exam 2 Questions And Answers