(See attached file for full problem description)

---

Consider a graph having n vertices labeled 1,2,...n, and suppose that between each of the

n

2

pairs of distinct vertices an edge is, independently, present with probability p. The degree of vertex i, designated as Di, is the number of edges that have vertex i as one of its vertices.

(a) What is the distribution of Di

(b) Find correlation between Di and Dj

---

(See attached file for full problem description)

Consider a graph having n vertices labeled 1,2,...n, and suppose that

between each of the

n

2

pairs of distinct vertices an edge is, independently, present with

probability p. The degree of vertex i, designated as Di, is the number

of edges that have vertex i as one of its vertices.

(a) What is the distribution of Di

(b) Find correlation between Di and Dj

---

Consider a graph having n vertices labeled 1,2,...n, and suppose that between each of the

n

2

pairs of distinct vertices an edge is, independently, present with probability p. The degree of vertex i, designated as Di, is the number of edges that have vertex i as one of its vertices.

(a) What is the distribution of Di

(b) Find correlation between Di and Dj

---

(See attached file for full problem description)

Consider a graph having n vertices labeled 1,2,...n, and suppose that

between each of the

n

2

pairs of distinct vertices an edge is, independently, present with

probability p. The degree of vertex i, designated as Di, is the number

of edges that have vertex i as one of its vertices.

(a) What is the distribution of Di

(b) Find correlation between Di and Dj

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