3. For each n > 1, let S, be the graph obtained by taking a collection of n paths P,..., Pn and connecting the corresponding vertices of P, and P+1. The graphs S, for n = 1,2,3 and 4 are drawn below. n = 1 2 3 (a) Find the number of vertices, edges and faces in S.

3. For each n > 1, let S, be the graph obtained by taking a collection of n paths P,..., Pn and connecting the corresponding vertices of P, and P+1. The graphs S, for n = 1,2,3 and 4 are drawn below. n = 1 2 3 (a) Find the number of vertices, edges and faces in S.

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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please send handwritten solution for Q3 part a

3. For each n > 1, let S, be the graph obtained by taking a collection of n paths P,..., Pn and connecting
the corresponding vertices of P; and P+1. The graphs S, for n = 1,2,3 and 4 are drawn below.
n = 1
2
3
(a) Find the number of vertices, edges and faces in S,.
(b) Draw the dual to S4.
(c) For which n does S, have an (i) Euler circuit? and (ii) Euler trail? Fully justify your answer.

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