This uses adjacency table to realize the depth first traversal of graphs, which is realized by recursion.
#include
Time Complexity of O (v+e).
Author: csdn Blog Duplan
adjacency Matrix : Information that stores data elements (vertices) and the relationships between data elements (edges or arcs) with two arrays.
Consider, for example, the following map:
If the adjacency matrix is stored, it can be expressed as:
1. Vertex array:
2. Adjacency Matrix:
Traversal of graphs:
Depth First (DFS):
The depth-first search traversal is similar to the first root traversal of a tree, which is the generalization of the
Here is a graph of the data generated from the dataset.
My dataset is the data read from the table Sendrec, there are id,sendid (order number), Sendtime (record time), Sendnum (unit time to send/I here is five minutes) several fields
The process is as follows:
public void Draw (Page page,dataset ds,int tnum) {}
Where page is used to pass a reference to the process of the page, so that the page is JPG directly to the client output generated graphs.
Basic method for basic storage of graphs three
Time limit:1000ms Memory limit:65536k in doubt. Dot here ^_^
Title Description
To solve the problem of graph theory, we must first think about how to store the graph. But Xiao Xin but how also can not understand how to save a map to help solve the problem. Can you help him to solve the problem? Enter multiple sets of inputs to the end of the file.
The first row of each group has two numbers n, m repr
Basic method of basic storage of graphs one
Time limit:1500ms Memory limit:65536k in doubt. Dot here ^_^
Title Description
To solve the problem of graph theory, we must first think about how to store the graph. But Xiao Xin but how also can not understand how to save a map to help solve the problem. Can you help him to solve the problem? Enter multiple sets of inputs to the end of the file.
The first row of each group has two numbers n, m repres
/** * Calculate the area of different shapes according to perimeter? Calculates the area of a variety of graphs, * and compares the maximum values of various graphic areas.The square area formula is: 0.0625*c*c.* Circle Area formula is: 0.0796*c*c, where c represents the perimeter of the graph. *//** * Calculate the area of different shapes according to perimeter? Calculates the area of a variety of graphs,
"Concept" loose graphs dense graphs:
The loose graph refers to a graph with few edges connected to it, whereas the opposite (point-connected Bendo) is a dense graph.
Tips: The adjacency matrix is more contiguous than the adjacency table, and the adjacency matrix is used for dense graphs.
Adjacency Matrix:
Open a two-dimensional array gr
This will be a long path. This path starts from a bipartite graph and its end point will be a quadratic matching problem (QAP ).
Recently I have been studying the assignment problem. I have seen binary graphs and searched for a lot of information about binary graphs on the Internet. However, I found that the definition of the concept of binary graphs in Chinese
Connectivity Graph Summary A Summary for Connected graph Ⅰ. ConceptStrong connectivityStrong connectivity: U,v (u,v) exists u→v, v→u u\to v,\ v\to u Two paths, called (u,v) (U,V) for strong connected strong connected graphs: any two vertices in the direction graph strongly connected strong connected components: The strongly connected sub-graphs of the undirected graphs
Analysis of connectivity concept of graphs
@ (data structure)
For non-directed graphs:
Connectivity: Paths exist from vertex v to vertex W. Maximal connectivity Sub-graph: This connected sub-graph contains all of the edges of the minimum connectivity sub-graph: To keep the diagram unobstructed, but also to make the least number of sides .
The spanning tree of graphs
path), the new match number is 1 higher than the original match number.
2.2 Algorithmic thinkingThe core idea is to find the augmented path and improve the match. Simply swap the identities of the matching and non-matching edges in the augmented path.We can add matching edges and matching points in the match by constantly looking for the augmented path. When the augmented path is not found, the maximum match is reached (this is the augmented path theorem).2.2 ApplicationsMany problems can
The graph has two standard representations, the adjacency matrix and the adjacency table (usually the adjacency matrix is used for dense graphs, and adjacency tables are used for sparse graphs). As follows:There are two ways to search for graphs: Depth-First search breadth-First search.Breadth-first searches (Breadth-first search)Breadth-First search expands the
];//MaxSize is a constant greater than or equal to the number of non-graph vertices + voidDFS (Vertexnode g[],intI//refine the search from the specified vertex i - { $Edgenode *p; $printf"%4d", G[i].vertex);//output vertex i information, i.e. access vertex i -visited[i]=1; -P=g[i].firstedge;//finds the first adjacency edge node of its adjacency table based on the pointer of vertex i firstedge the - while(P!=null)//When the adjacency node is not emptyWuyi { the if(!visited[p->ad
} - }Wuyi } the Else if(Dfn[t]//in particular, it is important to note that the phrase "dfn[t] - { Wu Stac.push (Make_pair (x,t)); -low[x]=min (low[x],dfn[t]); About } $ } - } - - voidFIND_BCC ()//find the points of the two connected components, placed in the BCC A { +Bcc_cnt= dfn_clock=0; thememset (Low,0,sizeof(Low)); -memset (Bcc_no,0,sizeof(Bcc_no)); $memset (DFN,0,sizeof(DFN)); the for(intI=1; i) the if(!dfn[i])
I can't tell myself this is a preview, or reviewBFS and DFS are finally starting.First review AThe storage structure of the so-called adjacency matrix (adjacency matrix) is to use a one-dimensional array to store the information of vertices in a graph, and to represent the adjacency between vertices in the graph with a matrix. Assuming that figure g= (v,e) has n determined vertices, v={v0,v1,..., vn-1}, the vertices in G are adjacent to a nxn matrix, and the elements of the matrix are:where Wij
the traversal of the graph is means from one vertex, access and only one time access to all remaining vertices in the diagram, not all edges of processing. Is the basis of the problems such as the connectivity of graphs, topological ordering, and path solving. A very basic graph traversal method has a depth-first search method and a breadth (width)-First search method.Depth-First search, Depth first Search,DFSThe Depth-first search method is the gener
Nagios the look like this (click to ENL Arge):And you ' ll also is able to the track those alert events in Graphite in graphs so look like this (click to enlarge, and note The vertical lines–those is the alert events.):Defining ContactsIn production, it's possible that the proper contacts and contact groups already exist. For testing (and maybe production) your might find that you want to limit who receives graphite
When dealing with the clustering of incomplete graphs, it is difficult to find an effective clustering algorithm to do clustering.For the point, the location of the 10th and 15th points is not so close, such as using ordinary clustering algorithm to do clustering, usually will be 10th points and 15th points clustered in a class, so the general clustering effect is not so good. and spectral clustering , it is very good to deal with such problems.Let's
8.2 Storage structure of graphs
The storage structure of the graph, in addition to storing information about each vertex in the graph, it also stores all the relationships between vertices and vertices (edge information), therefore, the structure of the graph is complex, it is difficult to represent the relationship between elements in the physical location of the data elements in the storage area, but also because of their arbitrary characteristics,
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