Application Of Graph Coloring In Sudoku

Graph coloring problem is to assign colors to certain elements of a graph subject to certain constraints. Enumerate the 81 cells of the sudoku board with numbers from 81.

A Sudoku Solver Using Graph Coloring Codeproject

application of graph coloring in sudoku

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Each vertex in sudoku is given a color from 1 to 9.

Application of graph coloring in sudoku. While the edge of the sudoku graph is the edges that correspond. The optimal solution in the case of the sudoku puzzle is to find a coloring using only 9 colors. 1451048 pallavi mazumder roll no.

Each completed sudoku square then corresponds to a k coloring of the graph. Avoids jargon and technical terms. I i heritage institute of technology dept.

How to represent a sudoku as a graph. The given number in the puzzle cane be used to add additional edges to the graph we can then use graph coloring to find a 9 coloring of this graph colors 1 9 points of interest. A modified backtracking algorithm in which a color once assigned in the input is unchanged till the end is used.

In this project we created a sudoku solver application using graph coloring. Sudoku games using graph coloring theory. The graph will have 81 vertices with each vertex corresponding to a cell in the grid.

Manojit chakraborty roll no. Graph coloring and its applications 1. Two vertices are connected by an edge if the cells that they correspond to are in the same column row or 3x3 box.

Sudoku games with size n 2 x n can be solved by using graph coloring. Computer science and engineering 1st year section a project. 1451052 rishu raj roll no.

Given a sudoku puzzle we can build the associated graph. So if we see this problem as a graph coloring problem we can use this kind of algorithms or to compose new sudoku or to solve. 1451050 saptarshi kundu roll no.

Coloring of graphs and its applications group members. Here some problems that can be solved by concepts of graph coloring methodologies. Sudoku is one of the most interested number placement puzzle and it is also a variation of graph coloring problem.

Sudoku can be seen as a graph or 81 vertex with edges connecting each cell with the ones in their row column and 3x3 cell. Reviews five real world problems that can be modelled using graph colouring. Two distinct vertices will be adjacent if and only if the corresponding cells in the grid are either in the same row or same column or the same sub grid.

The sudoku was first transformed into a sudoku graph which had vertices n2 x n 2 and each vertex is labeled a number from 1 2 3 to n 2 x n 2. Then the graph associated with a sudoku puzzle consists of 81 vertices one for each cell of the board together with edges as follows.

Applications Of Graph Colouring Youtube