Head 1
Head 2
Head 3
Head 4
Head 5
Text some text....
performatted text performatted textperformatted textperformatted textperformatted textperformatted textperformatted textperformatted textperformatted textperformatted textperformatted textperformatted text
| Col1 | Col2 | Col3 |
| Row1 | - | - |
- numbered list
- marked list
- marked list
- numbered list
- numbered list
some text
bold
marker
<script>
alert('Hello Algo');
</script>
meta: The value and use of the Dijkstra algorithm, the shortest paths algorithm, which provides efficient optimization of selected paths in modern fields of science such as artificial intelligence, web mapping, robotics, and networking.
\( x = \sqrt[3]{2a^3 + b^3} \)
social media: Since the beginning of time, humans have sought for methods that would reduce costs and save time and energy in every aspect of their lives. In order to optimize workflow, mathematicians created several “Greedy algorithms” that would make systems more efficient. One such algorithm is the famous shortest paths Dijkstra algorithm, which has a variety of applications in the modern world. Interested to learn more about this unique algorithm and how it works? Read our article here ____ (link)
Shortest Paths Dijkstra Algorithm
In Python
Since the dawn of time, humans have looked for methods that reduce costs and save both time and energy in every aspect of their lives. Achieving the same goals with the least cost has always been an important approach to survival for our ancestors. In this same perspective, and in order to satisfy this need for optimization that coexists in our modern societies, mathematicians developed several algorithms called 'Greedy algorithms’. As you can guess, the strategy adopted by those algorithms is to make greedy decisions at each node while selecting the next hop. Among those algorithms, Dijkstra has proved to be valuable especially in IT. It was developed by Edsger W. Dijkstra in 1956 and applied in many researches.
So, what is the shortest paths algorithm? What is the mathematical background of the Dijkstra algorithm (DA)? How can we conceive Dijkstra in python?
Shortest Path Algorithms (SPA)
Shortest paths algorithms put the light on numerous and large variety of problems. They aim to find out the paths of minimal weights among a variety of other possible paths. (A path is composed of nodes and weighted links between those nodes) .
Different SPA has been conceived to solve various natures of graphs and inputs. For example, for directed acyclic graphs -Fig (a)- we recommend Topological Sorting (TS) method, while for general weighted graphs (containing both negative and positive values) -Fig (b)- we mostly use the Bellman-Ford algorithm. But for positively weighted graphs –Fig(c)- we invite you to apply the Dijkstra algorithm.
