Monday, November 30, 2020

Look for Similarities Between Problems

 It is always a good idea to look for similarities between problems. By studying the differences and similarities between two problems, one usually gains insight into both problems. Given a new problem, the first question should be in almost all cases, "Is this problem similar to a known problem?" Sometimes, the similarities between two problems become apparent only after complicated reductions are exhibited. The reductions between matrix and graph algorithms are especially interesting.