dynamic-programming

Maximum-weight independent set problem for a path graph

a 夏天 提交于 2020-12-26 03:57:19
问题 While taking the Algorithms: Design and Analysis II class, one of the questions asks about the maximum-weight independent set problem for a path graph. shown below is a (blurry) screenshot of the problem statement, and the corresponding lecture videos are on YouTube: https://www.youtube.com/watch?v=0awkct8SkxA https://www.youtube.com/watch?v=pLOkbHGRsv0 https://www.youtube.com/watch?v=Im_zjFkZDCY This problem can be elegantly solved by dynamic programming, with literally one line of code. a[i

What are overlapping subproblems in Dynamic Programming (DP)?

爷,独闯天下 提交于 2020-12-13 07:04:47
问题 There are two key attributes that a problem must have in order for dynamic programming to be applicable: optimal substructure and overlapping subproblems [1]. For this question, we going to focus on the latter property only. There are various definitions for overlapping subproblems , two of which are: A problem is said to have overlapping subproblems if the problem can be broken down into subproblems which are reused several times OR a recursive algorithm for the problem solves the same

Gas Station Dynamic Programming

不想你离开。 提交于 2020-12-12 18:01:53
问题 You and your friends are driving to Tijuana for springbreak. You are saving your money for the trip and so you want to minimize the cost of gas on the way. In order to minimize your gas costs you and your friends have compiled the following information. First your car can reliably travel m miles on a tank of gas (but no further). One of your friends has mined gas-station data off the web and has plotted every gas station along your route along with the price of gas at that gas station.

Gas Station Dynamic Programming

徘徊边缘 提交于 2020-12-12 17:55:59
问题 You and your friends are driving to Tijuana for springbreak. You are saving your money for the trip and so you want to minimize the cost of gas on the way. In order to minimize your gas costs you and your friends have compiled the following information. First your car can reliably travel m miles on a tank of gas (but no further). One of your friends has mined gas-station data off the web and has plotted every gas station along your route along with the price of gas at that gas station.

What is a good algorithm for getting the minimum vertex cover of a tree?

为君一笑 提交于 2020-11-25 13:18:32
问题 What is a good algorithm for getting the minimum vertex cover of a tree? INPUT: The node's neighbours. OUTPUT: The minimum number of vertices. 回答1: I hope here you can find more related answer to your question. I was thinking about my solution, probably you will need to polish it but as long as dynamic programing is in one of your tags you probably need to: For each u vertex define S+(u) is cover size with vertex u and S-(u) cover without vertex u. S+(u)= 1 + Sum(S-(v)) for each child v of u.

What is a good algorithm for getting the minimum vertex cover of a tree?

徘徊边缘 提交于 2020-11-25 13:17:34
问题 What is a good algorithm for getting the minimum vertex cover of a tree? INPUT: The node's neighbours. OUTPUT: The minimum number of vertices. 回答1: I hope here you can find more related answer to your question. I was thinking about my solution, probably you will need to polish it but as long as dynamic programing is in one of your tags you probably need to: For each u vertex define S+(u) is cover size with vertex u and S-(u) cover without vertex u. S+(u)= 1 + Sum(S-(v)) for each child v of u.

What is a good algorithm for getting the minimum vertex cover of a tree?

删除回忆录丶 提交于 2020-11-25 13:11:46
问题 What is a good algorithm for getting the minimum vertex cover of a tree? INPUT: The node's neighbours. OUTPUT: The minimum number of vertices. 回答1: I hope here you can find more related answer to your question. I was thinking about my solution, probably you will need to polish it but as long as dynamic programing is in one of your tags you probably need to: For each u vertex define S+(u) is cover size with vertex u and S-(u) cover without vertex u. S+(u)= 1 + Sum(S-(v)) for each child v of u.

What is a good algorithm for getting the minimum vertex cover of a tree?

拟墨画扇 提交于 2020-11-25 13:11:08
问题 What is a good algorithm for getting the minimum vertex cover of a tree? INPUT: The node's neighbours. OUTPUT: The minimum number of vertices. 回答1: I hope here you can find more related answer to your question. I was thinking about my solution, probably you will need to polish it but as long as dynamic programing is in one of your tags you probably need to: For each u vertex define S+(u) is cover size with vertex u and S-(u) cover without vertex u. S+(u)= 1 + Sum(S-(v)) for each child v of u.