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(a) Apply the (i) depth-first search and (ii) breadth-first search algorithms to the following graph. Root your search tree at 1 and use the natural ordering on the vertices. 11 10 (b) Let G = (V, E) be a connected planar multigraph. Consider a planar embedding of G with F faces. Recall that the degree of a face is the length of its facial walk. Show that if every face has degree 4, then |E| = 2|V-4.

(a) Apply the (i) depth-first search and (ii) breadth-first search algorithms to the following graph. Root your search tree at 1 and use the natural ordering on the vertices. 11 10 (b) Let G = (V, E) be a connected planar multigraph. Consider a planar embedding of G with F faces. Recall that the degree of a face is the length of its facial walk. Show that if every face has degree 4, then |E| = 2|V-4.

Database System Concepts
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
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please send handwritten answer for part b
(a) Apply the (i) depth-first search and (ii) breadth-first search algorithms to the following graph. Root your search tree at 1 and use the natural ordering on the vertices. 10 5 (b) Let G = (V, E) be a connected planar multigraph. Consider a planar embedding of G with F faces. Recall that the degree of a face is the length of its facial walk. Show that if every face has degree 4, then |E2|V-4.
Transcribed Image Text:(a) Apply the (i) depth-first search and (ii) breadth-first search algorithms to the following graph. Root your search tree at 1 and use the natural ordering on the vertices. 10 5 (b) Let G = (V, E) be a connected planar multigraph. Consider a planar embedding of G with F faces. Recall that the degree of a face is the length of its facial walk. Show that if every face has degree 4, then |E2|V-4.
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