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6
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2answers
53 views

Compute relational composition in $O(|E||V|)$

Definitions: Let $G=(V,E)$ be a DAG without self-loops, and $X \subseteq G$ and $Y \subseteq G$ be graphs. Input: $X,Y$. Output: The relational composition relational composition $X \circ Y$ in ...
6
votes
2answers
161 views

Maximise sum of “non-overlapping” numbers in square array - help with proof

A question was posted on Stack Overflow asking for an algorithm to solve this problem: I have a matrix (call it A) which is nxn. I wish to select a subset (call it B) of points from matrix A. ...
4
votes
1answer
124 views

What is the complexity of this subset merge algorithm?

Updated Algorithm: There was a major flaw in my original presentation of the algorithm which could have impacted the results. I apologize for the same. The correction has been posted underneath. The ...
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vote
1answer
471 views

Inventory planning problem solved through dynamic programming

I am working on problem (15-11) Inventory planning from Introduction to Algorithms (CLRS, 3rd Ed). 15-11: Inventory Planning, p.411 The Rinky Dink Company makes machines that resurface ice ...