Discrete mathematics graph Draw all possible directed simple graphs of three vertices with two edges, three edges and four edges respectively (assuming isomorphic graphs are indistinguishable)

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1. How to judge the maximum, minimum, maximum and minimum elements according to hastur's intuitionistic judgment, that is, a = {1,2 ·· 9}, R is the partial ordered set of integral division of A, Draw its hastur, and judge its maximum, minimum, maximum and minimum elements
2. The partial order relation on the set a = {2,3,6,12,24,36} is an integral division relation, which is to draw a Haas diagram. How to find Cova? Explain the specific lecture in detail
3. A certain element of hastu is not comparable with several elements of different layers. Which layer is it drawn on
4. Discrete mathematics problem map urgent! What is the difference between the complement of a subgraph relative to the original graph and the complement of a complete graph?
5. On the problem of graph It is known that: "in a graph of order n, if there is a path from vertex u to vertex v (U is not equal to V), then there must be a primary path from u to V, and the length of the path is less than n-1." and "in a graph of order n, the length of any primary circuit is not greater than n." my question is: the primary path includes the primary circuit, so why is the length of any primary circuit not greater than N, rather than n-1 in a graph of order n?
6. What does P mean if and only if Q in discrete mathematics
7. On Discrete Mathematics p - > (Q - > P) The original question is like this Non p - > (P - > q) P - > (Q - > P) How is it proved?
8. How to deduce the discrete mathematics P → (P → q) P → q? And what is the value of P ∨ P, P ∧ p
9. Draw a simple graph with four vertices Be sure to draw a picture
10. The problem of set transitivity in discrete mathematics Let a = {a, B, C}, then the above relation R={,,,} S = {} is transitive Why are R and s transitive? Can r be understood as not meeting all the delivery possibilities?
11. Which of the following objects does hastow describe? A. Equivalence relation B. Partial order relation C. Digraph D. Undirected graph
12. Let a be an sxn matrix and B be an mxn matrix composed of the first m rows of A. It is proved that if the rank of the row vector group of a is r, then R (b) > = R + m-s
13. It is proved that the mxn matrix A with rank r (r > 0) can be decomposed into the sum of R mxn matrices with rank 1 Is m x n matrix Detailed process
14. Let a be mxn real matrix and prove rank (ATA) = rank (a) emergency
15. Excuse me, teacher, why is "the rank of a matrix equal to the rank of its column vector group, and also equal to the rank of its row vector group"? How to understand the relationship between the rank of matrix and the rank of vector group, please click in detail
16. The rank of the sum of two matrices is less than or equal to the sum of the ranks of two matrices? How to prove
17. Is the row rank of a matrix always equal to the column rank and equal to the rank of a matrix? Another problem is that if a matrix A is m rows and N columns, and M
18. What is a positive definite matrix? What are the properties of a positive definite matrix? If a is a positive definite matrix, then a [i] [i] must be greater than 0?
19. Let a be a real symmetric idempotent matrix of order n, that is, a & # 178; = a (1) It is proved that there is an orthogonal matrix Q such that (Q-1) AQ = diag (1,1,...) ,1,0,…… ,0） (2) If the rank of a is r, DET (a-2i) is calculated
20. What are the applications of idempotent matrix