for the specific random numbers n, m, and k obtained, an undirected graph Gn,m,k = (Vn,m,...

Question

Question

for the specific random numbers n, m, and k obtained, an undirected graph Gn,m,k = (Vn,m,...

for the specific random numbers n, m, and k obtained, an undirected graph

Gn,m,k = (Vn,m, En,m,k) is defined as follows.

Vn,m= {A | A is a subset of {1,2, .., n} and |A|= m},

E n,m,k={{A, B} | A∩B | = k}

where | A | for the set A denotes the number of elements of A.

(A) Illustrate G4,2.1.

(B) Find the number of vertices and sides of G6,3,2.

(C) Find the condition for n so that Gn,3,1 (n>= 4) has an Euler open circuit. Also show the derivation process.

math Advanced-Math

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

1

2

Add a comment

Answer 2

Similar Homework Help Questions

3. (10 points) Let G be an undirected graph with nodes vi,..Vn. The adja.- cency matriz represent...

Please show work clearly. Thanks 3. (10 points) Let G be an undirected graph with nodes vi,..Vn. The adja.- cency matriz representation for G is the nx n matrix M given by: Mij-1 if there is an edge from v, to ty. and M,',-0 otherwise. A triangle is a set fvi, vjof 3 distinct vertices so that there is an edge from v, to vj, another from v to k and a third from vk to v. Give and analyze...
1) Show that if U is a non-empty open subset of the real numbers then m(U) > O. 2) Give an exa...

1) Show that if U is a non-empty open subset of the real numbers then m(U) > O. 2) Give an example of an unbounded open set with finite measure. Justify your answer, 3) If a is a single point on the number line show that m ( a ) = O. 4) Prove that if K is compact and U is open with K U then m(K) m(U). 5) show that the Cantor set C is compact and m(C)...
I need help trying to understand what (S1) and (S2) are saying. Maybe in other words or pictures because the book is more confusing 3.1.1. Let M CR" be a nonempty set and 1 s k n. Then k . Then...

I need help trying to understand what (S1) and (S2) are saying. Maybe in other words or pictures because the book is more confusing 3.1.1. Let M CR" be a nonempty set and 1 s k n. Then k . Then M is a -dimensional regular surface (briefly, regul each point xo there ar kf class CP (p)i nd amapping of class C e M there exist an open set AC such that (SI) there exists an open set U...

2 Super Mario Run A Mario world M consists of a k × k grid. Each field in the grid is either empt...

Big O run time of algorithm 2 Super Mario Run A Mario world M consists of a k × k grid. Each field in the grid is either empty or brick. Two empty fields are marked as start and goal (see Fig. 2(a)). The goal of the game is to move the player, called Mario, from the start field to the goal field. When Mario is in field (x, y) he has the following options Forward Mario moves to the...
2. Consider a mass m moving in R3 without friction. It is fasten tightly at one...

2. Consider a mass m moving in R3 without friction. It is fasten tightly at one end of a string with length 1 and can swing in any direction. In fact, it moves on a sphere, a subspace of R3 1 0 φ g 2.1 Use the spherical coordinates (1,0,) to derive the Lagrangian L(0,0,0,0) = T-U, namely the difference of kinetic energy T and potential energy U. (Note r = 1 is fixed.) 2.2 Calculate the Euler-Lagrange equations, namely...

for the specific random numbers n, m, and k obtained, an undirected graph Gn,m,k = (Vn,m,...

Homework Answers

Add Answer to:
for the specific random numbers n, m, and k obtained, an undirected graph Gn,m,k = (Vn,m,...

Post as a guest

Earn Coins

3. (10 points) Let G be an undirected graph with nodes vi,..Vn. The adja.- cency matriz represent...

1) Show that if U is a non-empty open subset of the real numbers then m(U) > O. 2) Give an exa...

I need help trying to understand what (S1) and (S2) are saying. Maybe in other words or pictures because the book is more confusing 3.1.1. Let M CR" be a nonempty set and 1 s k n. Then k . Then...

2 Super Mario Run A Mario world M consists of a k × k grid. Each field in the grid is either empt...

2. Consider a mass m moving in R3 without friction. It is fasten tightly at one...

for the specific random numbers n, m, and k obtained, an undirected graph Gn,m,k = (Vn,m,...

Homework Answers

Add Answer to: for the specific random numbers n, m, and k obtained, an undirected graph Gn,m,k = (Vn,m,...

Post as a guest

Earn Coins

3. (10 points) Let G be an undirected graph with nodes vi,..Vn. The adja.- cency matriz represent...

1) Show that if U is a non-empty open subset of the real numbers then m(U) > O. 2) Give an exa...

I need help trying to understand what (S1) and (S2) are saying. Maybe in other words or pictures because the book is more confusing 3.1.1. Let M CR" be a nonempty set and 1 s k n. Then k . Then...

2 Super Mario Run A Mario world M consists of a k × k grid. Each field in the grid is either empt...

2. Consider a mass m moving in R3 without friction. It is fasten tightly at one...

Add Answer to:
for the specific random numbers n, m, and k obtained, an undirected graph Gn,m,k = (Vn,m,...