Adjacency matrix of data Structures (C + +)

Source: Internet
Author: User

#include <iostream>
#include <stdlib.h>
#include <string.h>
#define INFINITY 1000//MAX ∞
#define MAX_VERTEX_NUM 20//maximum number of vertices
#define MAXLISTSIZE 100//maximum capacity of the cyclic queue
#define TRUE 1
#defineFALSE 0
using namespace Std;
typedef ENUM{DG, DN, AG, An}graphkind; Type flag {forward graph, have to net, no direction graph, no net}
typedef int VRTYPE;
typedef char Vertextype;
typedef int ELEMTYPE;

BOOL Visited[max_vertex_num]; Global variables, Access flags array

typedef struct ARCCELL
{//ARC definition
Vrtype adj; Vrtype is a vertex relationship type. In the case of an unauthorized graph, a value of 1 or 0 is used to denote adjacent no;
}arccell, Adjmatrix[max_vertex_num][max_vertex_num];
Definition of typedef struct{//diagram
Vertextype Vexs[max_vertex_num]; Vertex information
Adjmatrix arcs; A two-dimensional array that represents the relationship between vertices
int Vexnum, arcnum; Number of current vertices and arcs (edges) of the graph
int kind; The type of the graph symbol
}mgraph;

typedef struct
{
Elemtype *elem; Storage space Base
int rear; Team Tail Hands
int front; Team Head pointer
int queuesize; Maximum allowable storage space, in element units
}queue;

void Initqueue (Queue &q, int maxsize)
{
Constructs an empty queue with a maximum storage space of maxsize Q
if (maxsize = = 0)
MaxSize = maxlistsize;
Q.elem = new Elemtype[maxsize]; Allocating storage space for a circular queue
if (! Q.elem) exit (1); Storage Allocation failure
Q.queuesize = maxsize;
Q.front = q.rear = 0;
}//initqueue

BOOL EnQueue (Queue &q, Elemtype e)
{
If the current queue is dissatisfied, this is after the tail element of the current queue, inserting element e as a new queue tail element, and returning true, otherwise false
if ((q.rear + 1)% Q.queuesize = = Q.front)
return FALSE;
Q.elem[q.rear] = e;
Q.rear = (q.rear+1)% Q.queuesize;
return TRUE;
}

BOOL DeQueue (Queue &q, Elemtype &e)
{
If the queue is not empty, delete the header element in the current queue Q, return its value with E, and return true, otherwise FALSE
if (Q.front = = q.rear)
return FALSE;
e = Q.elem[q.front];
Q.front = (q.front+1)% Q.queuesize;
return TRUE;
}

BOOL Queueempty (Queue Q)
{
if (Q.front = = q.rear)
return TRUE;
Else
return FALSE;
}

void Destroyqueue (Queue &q)
{
Delete[] Q.elem;
q.queuesize = 0;
}

int Locatevex (mgraph G, Vertextype v)
{//Initial conditions: Figure G exists, V and g vertices have the same characteristics
Operation Result: If there is a vertex u in G, the vertex is returned in the figure position; otherwise 1
int i;
for (i = 0; i < g.vexnum; ++i)
if (v = = G.vexs[i])
return i;
return-1;
}

Void Createdg (Mgraph &g)
{//the array (adjacency matrix) notation is used to construct the graph G.
int I, j, K;
Vertextype va, VB;//vertex
cout << "Please enter the number of vertices and sides of the adjacency matrix:";
CIN >> G.vexnum >> G.arcnum;
cout << "Enter the vertices of the adjacency matrix:";
for (i = 0; i < g.vexnum; ++i)//construct vertex vector
Cin >> g.vexs[i];
for (i = 0; i < g.vexnum; ++i)//Initialize adjacency matrix
for (j = 0; j < G.vexnum; ++j)
{
G.arcs[i][j].adj = 0;//NET, initialized to 0}
for (k = 0; k < g.arcnum; ++k)//construct adjacency matrix
{
cout << "Enter the beginning (line) and end point (column) of the" arc "):"; Br>cin >> va >> vb; Enter the vertex attached to an edge
I = Locatevex (G, VA);
j = Locatevex (G, VB); Determine the position of VA and VB in G
G.arcs[i][j].adj = 1;//vertices have an edge assignment of 1
}//for
}//createdg

Void Createdn (Mgraph &g)
{//the array (adjacency matrix) notation is used to construct the net G.
int I, j, K;
Vrtype W;//Weight
Vertextype va, VB;//vertex
cout << Please enter the number of vertices and sides of the adjacency matrix: ";
CIN >> G.vexnum >> G.arcnum;
cout << "Enter the vertices of the adjacency matrix:";
for (i = 0; i < g.vexnum; ++i)//construct vertex vector
Cin >> g.vexs[i];
for (i = 0; i < g.vexnum; ++i)//Initialize adjacency matrix
for (j = 0; j < G.vexnum; ++j)
{
G.arcs[i][j].adj = INFINITY;//NET, Initialize to a maximum of
}
for (k = 0; k < g.arcnum; ++k)//construct adjacency matrix
{
cout << "Enter section" << K + 1 << "beginning (line) and end of Arc" Points (columns) and weights: ";
Cin >> va >> vb >> w;//enter vertices and weights attached to an edge
I = Locatevex (G, VA);
j = Locatevex (G, VB); Determine the position of VA and VB in G
G.arcs[i][j].adj = w;//w as weight
}//for
}//createdn

Void Createag (Mgraph &g)
{//the array (adjacency matrix) notation is used to construct the graph G.
int I, j, K;
Vertextype va, VB;//vertex
cout << "Please enter the number of vertices and sides of the adjacency matrix:";
CIN >> G.vexnum >> G.arcnum;
cout << "Enter the vertices of the adjacency matrix:";
for (i = 0; i < g.vexnum; ++i)//construct vertex vector
Cin >> g.vexs[i];
for (i = 0; i < g.vexnum; ++i)//Initialize adjacency matrix
for (j = 0; j < G.vexnum; ++j)
{
G.arcs[i][j].adj = 0;//no map, initialize to 0}
for (k = 0; k < g.arcnum; ++k)//construct adjacency matrix
{
cout << "Please enter the two vertices of" << K + 1 << "arc:";
Cin >> va >> vb;//Enter the vertex attached to the edge
i = Locatevex (G, VA);
j = Locatevex (G, VB); Determine the position of VA and VB in G
G.arcs[i][j].adj = 1;//vertices have an edge assignment of 1
g.arcs[j][i] = g.arcs[i][j];
} For
}//createag

Void Createan (Mgraph &g)
{//the array (adjacency matrix) notation is used to construct the net-free G.
int I, j, K;
Vrtype W;//Weight
Vertextype va, VB;//vertex
cout << Please enter the number of vertices and sides of the adjacency matrix: ";
CIN >> G.vexnum >> G.arcnum;
cout << "Enter the vertices of the adjacency matrix:";
for (i = 0; i < g.vexnum; ++i)//construct vertex vector
Cin >> g.vexs[i];
for (i = 0; i < g.vexnum; ++i)//Initialize adjacency matrix
for (j = 0; j < G.vexnum; ++j)
{
G.arcs[i][j].adj = INFINITY;//No NET, Initialize to a maximum of
}
for (k = 0; k < g.arcnum; ++k)//construct adjacency matrix
{
cout << "Enter the two vertices and weights of the arc" << K + 1 << ": ";
Cin >> va >> vb >> w;//enter vertices and weights attached to an edge
I = Locatevex (G, VA);
j = Locatevex (G, VB); Determine the position of VA and VB in G
G.arcs[i][j].adj = w;//w as weight
G.arcs[j][i] = g.arcs[i][j];
} For
}//createan


void Creategraph (Mgraph &g)
{//use array (adjacency matrix) notation, construct figure G.
cout << "Please enter the type of the graph (enter the preceding number) {0.), 1. The direction of the net, 2. No direction, 3. No net}:" << Endl;
Cin >> G.kind;
Switch (g.kind)
{
Case DG:
CREATEDG (G); Construct a map with direction
Break
Case DN:
Createdn (G); Construct a network with a direction
Break
Case AG:
Createag (G); Constructing the graph without direction
Break
Case an:
Createan (G); Construct the non-direction net
Break
Default
cout << "Type error of the input graph:" << Endl;
Break
}
Return
}

int Firstadjvex (mgraph G, int v)
{
Int J, k =-1;
for (j = 0; J < G.vexnum; J + +)
if (g.arcs[v][j].adj==1)
{
K = J;
Break
}
return k;
}

int Nextadjvex (mgraph G, int v, int w)
{
Int J, k =-1;
for (j = w + 1; j < G.vexnum; J + +)
if (g.arcs[v][j].adj==1)
{
K = J;
Break
}
return k;
}

void DFS (mgraph G, int v)
{
Int J;
cout << G.vexs[v] << "";
VISITED[V] = TRUE;
for (j = 0; J < G.vexnum; J + +)
{
if (G.kind = = DG | | G.kind = = AG)
if (!visited[j] && G.arcs[v][j].adj = = 1)
DFS (G, J);
if (G.kind = = DN | | G.kind = = an)
if (!visited[j] && G.arcs[v][j].adj! = INFINITY)
DFS (G, J);
}
}

void Dfstraverse (Mgraph G)
{
int V;
for (v = 0; v < g.vexnum; v++)
VISITED[V] = FALSE; Initialize to False, and change to true after traversal
for (v = 0; v < g.vexnum; v++)
if (!visited[v])
DFS (G, v);
}

Void Bfstraverse (Mgraph g)
{//The breadth-first search for the graph G represented in array storage traversal
Queue Q;//queue Q
int u, V, W;
for (v = 0; v < g.vexnum; ++v)
Visited[v] = FALSE;
Initqueue (Q, g.vexnum); Set empty queue Q
for (v = 0; v < g.vexnum; ++v)
if (!visited[v])
{//From each unreachable vertex for breadth-first search
Visited[v] = TRUE;
cout << G.vexs[v] << ""; Accesses the V vertex in the output graph
EnQueue (Q, v);//v into the queue
while (! Queueempty (q))
{
DeQueue (q, u);//Team head element out of line and set to U
for (w = 0; w < g.vexnum; w++)
if (G.arcs[u][w].adj & &! VISITED[W])
{
Visited[w] = TRUE;
cout << g.vexs[w] << ""; Accesses the first W vertex of the output graph
EnQueue (q, W),/////Current access vertex W into queue Q
}//if
}//while
}//if
Destroyqueue (q);
} Bfstraverse

int main (void)
{
Mgraph G;
int I, J;
Creategraph (G);
cout << "adjacency matrix:" << Endl;
for (i = 0; i < g.vexnum; i++)
{
for (j = 0; J < G.vexnum; J + +)
{
cout << G.arcs[i][j].adj << "\ t";
}
cout << Endl;
}
cout << "Depth-first traversal:";
Dfstraverse (G);
cout << Endl;
cout << "breadth-first traversal:";
Bfstraverse (G);
cout << Endl;
return 0;
}

Adjacency matrix of data Structures (C + +)

Contact Us

The content source of this page is from Internet, which doesn't represent Alibaba Cloud's opinion; products and services mentioned on that page don't have any relationship with Alibaba Cloud. If the content of the page makes you feel confusing, please write us an email, we will handle the problem within 5 days after receiving your email.

If you find any instances of plagiarism from the community, please send an email to: info-contact@alibabacloud.com and provide relevant evidence. A staff member will contact you within 5 working days.

A Free Trial That Lets You Build Big!

Start building with 50+ products and up to 12 months usage for Elastic Compute Service

  • Sales Support

    1 on 1 presale consultation

  • After-Sales Support

    24/7 Technical Support 6 Free Tickets per Quarter Faster Response

  • Alibaba Cloud offers highly flexible support services tailored to meet your exact needs.