数据结构17-邻接表及广度优先遍历

邻接表是图的一种最主要存储结构,用来描述图上的每一个点。对图的每个顶点建立一个容器（n个顶点建立n个容器），第i个容器中的结点包含顶点Vi的所有邻接顶点。实际上邻接矩阵就是一种未离散化每个点的边集的邻接表。

AdjacencyListPtr graphToAdjacentList(GraphPtr pPtr){
	int i,j,tempNum;
	AdjacentNodePtr p,q;
	tempNum = pPtr->numNodes;
	AdjacencyListPtr resultPtr = (AdjacencyListPtr)malloc(sizeof(AdjacencyList));
	resultPtr->numNodes = tempNum;
	resultPtr->headers = (AdjacencyNode*)malloc(tempNum * sizeof(AdjacencyNode));

	for(i = 0;i < tempNum;i++){
		p = &(resultPtr->headers[i]);
		p->column = -1;
		p->next = NULL;
		
		for(j = 0;j < tempNum;j++){
			if(pPtr->connections[i][j] > 0){
				q = (AdjacentNodePtr)malloc(sizeof(AdjacencyNode));
				q->column = j;
				q->next = NULL;
				
				p->next = q;
				p = q;
			}
		}
	}
	
	return resultPtr;	
}

void widthFirstTranverse(AdjacencyListPtr pListPtr,int pStart){
	printf("width first rn");
	int i,j,tempNode;
	AdjacentNodePtr p;
	i = 0;
	
	visitedPtr = (int*)malloc(pListPtr->numNodes * sizeof(int));
	
	for(i = 0;i < pListPtr->numNodes;i++){
		visitedPtr[i] = 0;
	}
	
	QueuePtr tempQueuePtr = iniQueue();
	printf("%d ",pStart);
	visitedPtr[pStart] = 1;
	enqueue(tempQueuePtr,pStart);
	while(!isQueueEmpty(tempQueuePtr)){
		tempNode = dequeue(tempQueuePtr);
		
		for(p = &(pListPtr->headers[tempNode]);p != NULL;p = p->next){
			j = p->column;
			if(visitedPtr[j]){
				continue;
			}
			printf("%d ",j);
			visitedPtr[j] = 1;
			enqueue(tempQueuePtr,j);
		}
	}
}

#include 
#include 
#define QUEUE_SIZE 10

int* visitedPtr;

typedef struct Graph{
	int** connections;
	int numNodes;
} *GraphPtr;

GraphPtr iniGraph(int paraSize, int** paraData) {
	int i, j;
	GraphPtr resultPtr = (GraphPtr)malloc(sizeof(struct Graph));
	resultPtr -> numNodes = paraSize;
	
	resultPtr -> connections = (int**)malloc(paraSize * sizeof(int*));
	for (i = 0; i < paraSize; i ++) {
		resultPtr -> connections[i] = (int*)malloc(paraSize * sizeof(int));
		for (j = 0; j < paraSize; j ++) {
			resultPtr -> connections[i][j] = paraData[i][j];
		}
	}
	
	return resultPtr;
}

typedef struct GraphNodeQueue{
	int* nodes;
	int front;
	int rear;
}GraphNodeQueue, *QueuePtr;

QueuePtr iniQueue(){
	QueuePtr resultQueuePtr = (QueuePtr)malloc(sizeof(struct GraphNodeQueue));
	resultQueuePtr->nodes = (int*)malloc(QUEUE_SIZE * sizeof(int));
	resultQueuePtr->front = 0;
	resultQueuePtr->rear = 1;
	return resultQueuePtr;
}

bool isQueueEmpty(QueuePtr paraQueuePtr){
	if ((paraQueuePtr->front + 1) % QUEUE_SIZE == paraQueuePtr->rear) {
		return true;
	}

	return false;
}

void enqueue(QueuePtr paraQueuePtr, int paraNode){
	
	if ((paraQueuePtr->rear + 1) % QUEUE_SIZE == paraQueuePtr->front % QUEUE_SIZE) {
		printf("Error, trying to enqueue %d. queue full.rn", paraNode);
		return;
	}
	paraQueuePtr->nodes[paraQueuePtr->rear] = paraNode;
	paraQueuePtr->rear = (paraQueuePtr->rear + 1) % QUEUE_SIZE;
}

int dequeue(QueuePtr paraQueuePtr){
	if (isQueueEmpty(paraQueuePtr)) {
		printf("Error, empty queuern");
		return NULL;
	}
	paraQueuePtr->front = (paraQueuePtr->front + 1) % QUEUE_SIZE;

	return paraQueuePtr->nodes[paraQueuePtr->front];
}

typedef struct AdjacencyNode{
	int column;
	AdjacencyNode* next;
}AdjacencyNode,*AdjacentNodePtr;

typedef struct AdjacencyList{
	int numNodes;
	AdjacencyNode* headers;
}AdjacencyList,*AdjacencyListPtr;

AdjacencyListPtr graphToAdjacentList(GraphPtr pPtr){
	int i,j,tempNum;
	AdjacentNodePtr p,q;
	tempNum = pPtr->numNodes;
	AdjacencyListPtr resultPtr = (AdjacencyListPtr)malloc(sizeof(AdjacencyList));
	resultPtr->numNodes = tempNum;
	resultPtr->headers = (AdjacencyNode*)malloc(tempNum * sizeof(AdjacencyNode));

	for(i = 0;i < tempNum;i++){
		p = &(resultPtr->headers[i]);
		p->column = -1;
		p->next = NULL;
		
		for(j = 0;j < tempNum;j++){
			if(pPtr->connections[i][j] > 0){
				q = (AdjacentNodePtr)malloc(sizeof(AdjacencyNode));
				q->column = j;
				q->next = NULL;
				
				p->next = q;
				p = q;
			}
		}
	}
	
	return resultPtr;	
}

void printAdjacentList(AdjacencyListPtr pPtr){
	int i;
	AdjacentNodePtr p;
	int tempNum = pPtr->numNodes;
	
	printf("This is the graph:rn");
	for(i = 0;i < tempNum;i++){
		p = pPtr->headers[i].next;
		while(p != NULL){
			printf("%d, ",p->column);
			p = p->next;
		}
		printf("n");
	}
}

void widthFirstTranverse(AdjacencyListPtr pListPtr,int pStart){
	printf("width first rn");
	int i,j,tempNode;
	AdjacentNodePtr p;
	i = 0;
	
	visitedPtr = (int*)malloc(pListPtr->numNodes * sizeof(int));
	
	for(i = 0;i < pListPtr->numNodes;i++){
		visitedPtr[i] = 0;
	}
	
	QueuePtr tempQueuePtr = iniQueue();
	printf("%d ",pStart);
	visitedPtr[pStart] = 1;
	enqueue(tempQueuePtr,pStart);
	while(!isQueueEmpty(tempQueuePtr)){
		tempNode = dequeue(tempQueuePtr);
		
		for(p = &(pListPtr->headers[tempNode]);p != NULL;p = p->next){
			j = p->column;
			if(visitedPtr[j]){
				continue;
			}
			printf("%d ",j);
			visitedPtr[j] = 1;
			enqueue(tempQueuePtr,j);
		}
	}
}

void testGraphTranverse() {
	int i, j;
	int myGraph[5][5] = { 
		{0, 1, 0, 1, 0},
		{1, 0, 1, 0, 1}, 
		{0, 1, 0, 1, 1}, 
		{1, 0, 1, 0, 0}, 
		{0, 1, 1, 0, 0}};
	int** tempPtr;
	printf("Preparing datarn");
		
	tempPtr = (int**)malloc(5 * sizeof(int*));
	for (i = 0; i < 5; i ++) {
		tempPtr[i] = (int*)malloc(5 * sizeof(int));
	}
	 
	for (i = 0; i < 5; i ++) {
		for (j = 0; j < 5; j ++) {
			tempPtr[i][j] = myGraph[i][j];
		}
	}
 
	printf("Data readyrn");
	
	GraphPtr tempGraphPtr = iniGraph(5, tempPtr);
	AdjacencyListPtr tempListPtr = graphToAdjacentList(tempGraphPtr);

	printAdjacentList(tempListPtr);

	widthFirstTranverse(tempListPtr, 4);
}

int main(){
	testGraphTranverse();
	return 0;
}

Preparing data
Data ready
This is the graph:
1, 3,
0, 2, 4,
1, 3, 4,
0, 2,
1, 2,
width first
4 1 2 0 3