Dijkstra's algorithm: why does it work? (not how)

Posted by BeeBand on Stack Overflow See other posts from Stack Overflow or by BeeBand
Published on 2010-05-18T11:17:27Z Indexed on 2010/05/18 11:20 UTC
Read the original article Hit count: 395

Filed under:

algorithm

I understand what Dijkstra's algorithm is but I don't understand why it works.

When selecting the next vertice to examine, why does Dijkstra's algorithm select the one with the smallest weight? Why not just select a vertex arbitrarily, since the algorithm visits all vertices anyway?

Related posts about algorithm

Jpeg Algorithm vs BMP Algorithm?

as seen on Super User - Search for 'Super User'
I'm just wonder, what the differences are between creating a BMP file algorithm and JPG file algorithm ? If you know the others images' format algorithm, please post them. Thanks. >>> More
word disambiguation algorithm (Lesk algorithm)

as seen on Stack Overflow - Search for 'Stack Overflow'
Hii.. Can anybody help me to find an algorithm in Java code to find synonyms of a search word based on the context and I want to implement the algorithm with WordNet database. For example, "I am running a Java program". From the context, I want to find the synonyms for the word "running", but the… >>> More
Search algorithm (with a sort algorithm already implemented)

as seen on Stack Overflow - Search for 'Stack Overflow'
Hello, Im doing a Java application and Im facing some doubts in which concerns performance. I have a PriorityQueue which guarantees me the element removed is the one with greater priority. That PriorityQueue has instances of class Event (which implements Comparable interface). Each Event is associated… >>> More
Is there any algorithm for finding LINES by PIXEL COLORS on picture?

as seen on Stack Overflow - Search for 'Stack Overflow'
So I have Image like this I want to get something like this (I hevent drawn all lines I want but I hope you can get my idea) I need algorithm for finding all straight lines on it by just reading colors of pixels. No hard math, no Haar, no Hough. Some algorithm which would be based on points… >>> More
collsion issues with quadtree [on hold]

as seen on Game Development - Search for 'Game Development'
So i implemented a Quad tree in Java for my 2D game and everything works fine except for when i run my collision detection algorithm, which checks if a object has hit another object and which side it hit.My problem is 80% of the time the collision algorithm works but sometimes the objects just go… >>> More

Developer IT

Dijkstra's algorithm: why does it work? (not how) - Developer IT

Dijkstra's algorithm: why does it work? (not how)

algorithm

Related posts about algorithm

Jpeg Algorithm vs BMP Algorithm?

word disambiguation algorithm (Lesk algorithm)

Search algorithm (with a sort algorithm already implemented)

Is there any algorithm for finding LINES by PIXEL COLORS on picture?

collsion issues with quadtree [on hold]

Categories cloud