基于Object-C语言的图层次遍历算法实现.docxVIP

基于Object-C语言的图层次遍历算法实现

在Objective-C中实现图的层次遍历（也称为广度优先有哪些信誉好的足球投注网站，BFS）算法，首先需要定义图的数据结构。图可以通过邻接表或邻接矩阵来表示，但在这里我们将使用邻接表，因为它在表示稀疏图时更加高效。

由于Objective-C本身并不直接支持集合或队列这样的数据结构（像C++中的std::queue），我们将需要使用NSMutableArray来模拟队列的行为。

以下是一个基于邻接表的图层次遍历算法的Objective-C实现：

//Graph.h

#importFoundation/Foundation.h

@interfaceGraphNode:NSObject

@property(nonatomic,copy)NSString*name;

@property(nonatomic,strong)NSMutableArray*neighbors;

-(instancetype)initWithName:(NSString*)name;

@end

@interfaceGraph:NSObject

@property(nonatomic,strong)NSMutableDictionary*adjacencyList;

-(void)addEdge:(GraphNode*)fromto:(GraphNode*)to;

-(void)bfs:(GraphNode*)startNode;

@end

//Graph.m

#importGraph.h

@implementationGraphNode

-(instancetype)initWithName:(NSString*)name{

self=[superinit];

if(self){

_name=name;

_neighbors=[NSMutableArrayarray];

}

returnself;

}

@end

@implementationGraph

-(instancetype)init{

self=[superinit];

if(self){

_adjacencyList=[NSMutableDictionarydictionary];

}

returnself;

}

-(void)addEdge:(GraphNode*)fromto:(GraphNode*)to{

[from.neighborsaddObject:to];

if(![_adjacencyList.allKeyscontainsObject:from]){

[_adjacencyListsetObject:[NSMutableArrayarrayWithObject:to]forKey:from];

}else{

NSMutableArray*neighbors=_adjacencyList[from];

if(![neighborscontainsObject:to]){

[neighborsaddObject:to];

}

}

}

-(void)bfs:(GraphNode*)startNode{

if(!startNode)return;

NSMutableArray*queue=[NSMutableArrayarray];

NSMutableSet*visited=[NSMutableSetset];

[queueaddObject:startNode];

[visitedaddObject:startNode];

while(queue.count0){

GraphNode*currentNode=queue.firstObject;

[queueremoveObjectAtIndex:0];

NSLog(@Visited%@,currentNode.name);

for(GraphNode*neighborincurrentNode.neighbors){

if(![visitedcontainsObject:neighbor]){

[q