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

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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

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

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