In our program development process will often need to draw graphs and histogram, etc., especially when doing statistical functions. But sometimes we feel that there is no need to use third party controls (such as zedgraph, etc.), which is the ability to write our own code to implement these graphical drawings. The following is my use in the development process of two pieces of code, is to share everyone, I
proof of the problem
Network of schools (POJ 1236) A number of schools is connected to A computer network. Agreements has been developed among those Schools:each School maintains a list of schools to which it distributes Softwa Re (the "Receiving schools"). Note that if B was in the distribution list of school A, then a does not necessarily appear in the list of school BYou is to write a program this computes the minimal number of schools that must r
removed is connected, then the directed graph is called weakly connected. A full graph is a graph with one edge between each pair of vertices.Two: the representation of graphsWe will consider the graph of the direction (the non-graph can be similar to the representation)A simple way to represent graphs is to use two-dimensional arrays, called adjacency matrix representations. For each edge (u,v), we set a[u][v]=1, Otherwise the array element is set t
table.
2. Adjacent matrix method: This method is suitable for dense graphs and can quickly determine whether two vertices are adjacent.
The adjacent matrix first numbers the vertices in the graph. 1... | v |, after the number, A | v | x | v | matrix is used to represent the graph. Whether the element AIJ in the matrix is 0 indicates whether there is an edge between VI and vj, the storage space of the matrix is O (| v | ^ 2), independent of the numbe
/** * 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
2-3for one with Na graph of the vertices, if the adjacency matrix is represented, the size of the matrix is: (2 points)
N? 1
N
(N? 1)? 2??
N? 2??
Author : DS Course GroupUnit : Zhejiang University2-4If a forward graph is represented by an adjacency matrix, the first Ithe degree to which a node is entered is: (2 points)
Section I number of elements in the row
Section I number of non-0 elements in a row
Section I number of non-0 elements of the column
......Sno_of_streets eno_of_streetsThe first line of all data set contains a positive integer no_of_intersections (greater than 0 and less or equal to 120), Which is the number of intersections in the town. The second line contains a positive integer no_of_streets, and which is the number of streets in the town. The next no_of_streets lines, one for each street in the town, is randomly ordered and represent the town ' s streets. The line corresponding to Street K (k There is no blank lines betwe
This article mainly introduces how to use matplotlib of Python to draw data graphs in Linux. matplotlib is an extension of Scientific Computing Based on Numpy, if you want to obtain an efficient, automated, and high-quality scientific drawing solution in Linxu, you should try the matplotlib library. Matplotlib is an open source scientific ing package based on python and is released based on the python Software Foundation license. A large number of doc
Storage structure of graphs (adjacency matrices)Let programming change the worldThe
Storage structure of graphsThe storage structure of graphs is much more complex than linear tables and trees.We look back, for linear tables, is a one-to-one relationship, so with arrays or linked lists can be easily stored. The tree structure is a one-to-many relationship, so we want to combine the attributes of the a
Title Link: http://www.lydsy.com:808/JudgeOnline/problem.php?id=1143This is my first ctsc problem, the water I was shocked ... It is said that Bzoj only the first question, did not ask the second question, because no data, no wonder so water ...First we need to know the concept of a separate set of binary graphs :The independent set of a binary graph is a set of vertices that are not connected to any two points in a binary graph.maximum independent se
The nature of the dichotomy: in the graph G, there must be at least two points. If there is a loop, then the loop must be an even-edged loop.
match : In graph theory, a match is a set of edges, where any two edges have no public vertices.maximum match: A match with the largest number of matched edges in all matches of a graph, called the maximum match of this graphMaximum matches: the number of matching edges that match the maximumPerfect Match : if one of the
Group coveragePerfect picture = companion Perfect picture. The chord chart is the perfect picture.9. The interval diagram is a chord chart.10. Given n intervals, it is required to select the most interval so that the intervals do not overlap each other. is actually the maximum point independent set of interval graphs.11. There are n bricks, height is 1, the width of the first building block is [Li, Ri], select a block of falling order to make the fin
, Figure 4, is the match of Figure 2.We define matching points , matching edges , unmatched points , mismatched edges , and they are very obvious. Example 3, 1, 4, 5, 7 is the matching point, the other vertices are unmatched points, 1-5, 4-7 is the matching edge, the other edges are non-matching edges.Maximum match : A match with the largest number of matched edges in all matches of a graph, called the maximum match for this graph. Figure 4 is a maximum match that contains 4 matching edges.Perfe
What is a graph | ω ・')
Figure G is an Ordered Binary Group (V, E), where V is called the Vertices Set, E is called the Edges set, and E is not intersecting with V. They can also be written as V (G) and E (G ).The elements of E are binary groups, expressed by (x, y), where x, y, and V. (From Baidu encyclopedia)
In short, a graph is composed of vertices and edges. It can also be understood as the abstract representation of the relationship between several elements, and the edge represents the re
from it. If not, then further backtracking. When all vertices are accessed, the entire depth-first traversal process is completed.Recursive algorithmThe Depthfirstsearch (v,visited)//visited is an array that represents the access of each vertex, and the initial value of the visited array is 0.DFSearch1. [Initialize]Print (v).Visited (v) =1.P=adjacent (Head[v]).//adjacent () is the head pointer of the Benking that holds the vertex, and the vertex table name is headDFSearch2. [Depth-first travers
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