Please help me solve this two problems. For each degree sequence below, determine whether there is a graph with 5 verticesthat have these degrees. If a graph exists, draw it. If it doesn't, justify that it doesn't exist.(а) 4,4, 3, 3, 2.(b) 5, 3, 2, 2, 2.(c) 4, 4, 3, 2, 2.(d) 4, 4, 3, 2, 1.Recall that K, is the complete graph with n vertices'. Let u, v be two differentvertices in Kn. Give the formula for the number of hamiltonian paths² from u to v. Justify youranswer.

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For each degree sequence below, determine whether there is a graph with 5 vertices that have these degrees. If a graph exists, draw it. If it doesn't, justify that it doesn't exist. (а) 4, 4, 3, 3, 2. (b) 5, 3, 2, 2, 2. (с) 4, 4, 3, 2, 2. (а) 4, 4, 3, 2, 1.

For each degree sequence below, determine whether there is a graph with 5 vertices that have these degrees. If a graph exists, draw it. If it doesn't, justify that it doesn't exist. (а) 4, 4, 3, 3, 2. (b) 5, 3, 2, 2, 2. (с) 4, 4, 3, 2, 2. (а) 4, 4, 3, 2, 1.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Please help me solve this two problems.

For each degree sequence below, determine whether there is a graph with 5 vertices
that have these degrees. If a graph exists, draw it. If it doesn't, justify that it doesn't exist.
(а) 4,4, 3, 3, 2.
(b) 5, 3, 2, 2, 2.
(c) 4, 4, 3, 2, 2.
(d) 4, 4, 3, 2, 1.
Recall that K, is the complete graph with n vertices'. Let u, v be two different
vertices in Kn. Give the formula for the number of hamiltonian paths² from u to v. Justify your
answer.

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