By Nathan J. Muller

Bluetooth is a instant networking typical that enables seamless communique of voice, e mail and such like. This advisor to Bluetooth is helping to determine if it is correct to your services. It info the strengths and weaknesses of Bluetooth and has insurance of functions and items.

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Public static void breadthFirstSearch(int n, int m, int nodei[], int nodej[], int parent[], int sequence[]) { int i,j,k,enqueue,dequeue,queuelength,p,q,u,v; int queue[] = new int[n+1]; int firstedges[] = new int[n+2]; int endnode[] = new int[m+1]; boolean mark[] = new boolean[m+1]; boolean iterate,found; // set up the forward star representation of the graph for (j=1; j<=m; j++) mark[j] = true; firstedges[1] = 0; k = 0; for (i=1; i<=n; i++) { for (j=1; j<=m; j++) if (mark[j]) { if (nodei[j] == i) { k++; endnode[k] = nodej[j]; mark[j] = false; } else { if (nodej[j] == i) { k++; endnode[k] = nodei[j]; mark[j] = false; } } © 2007 by Taylor & Francis Group, LLC Chapter 2: Connectivity } firstedges[i+1] = k; } for (i=1; i<=n; i++) { sequence[i] = 0; parent[i] = 0; } k = 0; p = 1; enqueue = 1; dequeue = 1; queuelength = enqueue; queue[enqueue] = p; k++; sequence[p] = k; parent[p] = 0; iterate = true; // store all descendants while (iterate) { for (q=1; q<=n; q++) { // check if p and q are adjacent if (p < q) { u = p; v = q; } else { u = q; v = p; } found = false; for (i=firstedges[u]+1; i<=firstedges[u+1]; i++) if (endnode[i] == v) { // p and q are adjacent found = true; break; } if (found && sequence[q] == 0) { enqueue++; if (n < enqueue) enqueue = 1; queue[enqueue] = q; k++; parent[q] = p; sequence[q] = k; } } // process all nodes of the same height if (enqueue >= dequeue) { if (dequeue == queuelength) { queuelength = enqueue; } © 2007 by Taylor & Francis Group, LLC 45 A Java Library of Graph Algorithms and Optimization 46 p = queue[dequeue]; dequeue++; if (n < dequeue) dequeue = 1; iterate = true; // process other components } else { iterate = false; for (i=1; i<=n; i++) if (sequence[i] == 0) { dequeue = 1; enqueue = 1; queue[enqueue] = i; queuelength = 1; k++; sequence[i] = k; parent[i] = 0; p = i; iterate = true; break; } } } } Example: Apply a breadth-first search to the following graph.

Procedure parameters: int randomConnectedGraph (n, m, seed, weighted, minweight, maxweight, nodei, nodej, weight) randomConnectedGraph: int; exit: the method returns the following error code: 0: solution found with normal execution 1: value of m is too small, should be at least n−1 2: value of m is too large, should be at most n∗(n−1)/2 n: int; entry: number of nodes of the graph. Nodes of the graph are labeled from 1 to n. m: int; entry: number of edges of the graph. If m is less than n−1 then m will be set to n−1.

Let p(i) denote the unique predecessor of each node i in the tree, d(i) be the distance from node i to the root of T, b(i) be the label assigned to the edge (i,p(i)), and h(j) be a Boolean variable for marking edge j. For each component of the given graph, perform the following: Step 1. Set b(i) = 0, h(i) = false, for all i. Choose an arbitrary node r as the root. Initially T consists of the single node r, d(r) = 0, X is empty, Y = T, Z = V – {r}. Step 2. If Y is nonempty then select the most recent member of Y, say u, delete u from Y and continue with Step 3.