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GRAPHS AND GRAPH ALGORITHMS in .NET Incoporate Code 128C in .NET GRAPHS AND GRAPH ALGORITHMS




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GRAPHS AND GRAPH ALGORITHMS use .net code 128a integrated torender code-128c in .net Microsoft Office Development. Microsoft Office 2000/2003/2007/2010 Vertex A B C D E F G Visited False False False False False False False Weight 0 In nity In nity In nity In nity In nity In nity Via Path 0 n/a n/a n/a n/a n/a n/a After A is Visual Studio .NET barcode standards 128 visited, the table looks like this:. Vertex A B C D E F G Visited True False False False False False False Weight 0 2 In nity 1 In nity In nity In nity Via Path 0 A n/a A n/a n/a n/a. Next we visit vertex D:. Vertex A B C D E F G Visited True False False True False False False Weight 0 2 3 1 3 9 5 Via Path 0 A D A D D D. Finding the Shortest Path The vertex B is next visited:. Vertex A B barcode code 128 for .NET C D E F G Visited True True False True False False False Weight 0 2 3 1 3 9 5 Via Path 0 A D A D D D. And so on u ntil we visit the last vertex G:. Vertex A B Code 128 Code Set A for .NET C D E F G Visited True True True True True True False Weight 0 2 3 1 3 6 5 Via Path 0 A D A D D D. Code for Dijkstra s Algorithm The rst pi code 128 barcode for .NET ece of code for the algorithm is the Vertex class, which we ve seen before:. public clas s Vertex { public string label; public bool isInTree;. GRAPHS AND GRAPH ALGORITHMS public Vert ex(string lab) { label = lab; isInTree = false; } }. We also nee .net vs 2010 Code 128A d a class that helps keep track of the relationship between a distant vertex and the original vertex used to compute shortest paths. This is called the DistOriginal class:.

public clas s DistOriginal { public int distance; public int parentVert; public DistOriginal(int pv, int d) { distance = d; parentVert = pv; } }. The Graph c VS .NET Code 128 lass that we ve used before now has a new set of methods for computing shortest paths. The rst of these is the Path() method, which drives the shortest path computations:.

public void Path() { int startTree = 0; vertexList[startTree].isInTree = true; nTree = 1; for(int j = 0; j <= nVerts-1; j++) { int tempDist = adjMat(startTree, j); sPath[j] = new DistOriginal(startTree, tempDist); } while (nTree < nVerts) { int indexMin = GetMin(); int minDist = sPath[indexMin].distance; currentVert = indexMin; startToCurrent = sPath[indexMin].

distance; vertexList[currentVert].isInTree = true;. Finding the Shortest Path nTree++; Ad justShortPath(); } DisplayPaths(); nTree = 0; for(int j = 0; j <= nVerts-1; j++) vertexList[j].isInTree = false; }. This method Visual Studio .NET code128b uses two other helper methods, getMin and adjustShortPath. Those methods are explained shortly.

The for loop at the beginning of the method looks at the vertices reachable from the beginning vertex and places them in the sPath array. This array holds the minimum distances from the different vertices and will eventually hold the nal shortest paths. The main loop (the while loop) performs three operations: 1.

Find the entry in sPath with the shortest distance. 2. Make this vertex the current vertex.

3. Update the sPath array to show distances from the current vertex. Much of this work is performed by the getMin and adjustShortPath methods:.

public int GetMin() { double minDist = Double.PositiveInfinity; int indexMin = 0; for(int j = 1; j <= nVerts-1; j++) if (!(vertexList[j].isInTree) && (sPath[j].

distance < minDist)) { minDist = sPath[j].distance; indexMin = j; } return indexMin; } public void AdjustShortPath() { int column = 1; while (column < nVerts) if (vertexList[column].isInTree) column++;.

GRAPHS AND GRAPH ALGORITHMS else { int currentToFringe = adjMat[currentVert, column]; int startToFringe = startToCurrent + currentToFringe; int sPathDist = sPath[column].distance; if (startToFringe < sPathDist) { sPath[column].parentVert = currentVert; sPath[column].

distance = startToFringe; } } } }. The getMin .NET Code 128B method steps through the sPath array until the minimum distance is determined, which is then returned by the method. The adjustShortPath method takes a new vertex, nds the next set of vertices connected to this vertex, calculates shortest paths, and updates the sPath array until a shorter distance is found.

Finally, the displayPaths method shows the nal contents of the sPath array. To make the graph available for other algorithms, the nTree variable is set to 0 and the isInTree ags are all set to false. To put all this into context, here is a complete application that includes all the code for computing the shortest paths using Dijkstra s algorithm, along with a program to test the implementation:.

public clas s DistOriginal { int distance; int parentVert; public DistOriginal(int pv, int d) { distance = d; parentVert = pv; } } public class Vertex { public string label; public bool isInTree; public Vertex(string lab) { label = lab;.
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