Based on the undirected Graph G: es e₁ e10 es е6 e10 V4 e6 e3 V4 e9 e11 e3 eg e7 e11 e₂ e12 Undirected Graph G a) Find the degree of each vertex in the undirected Graph G. b) Find the adjacency matrix and incidence matrix of Graph G. c) If undirected Graph G is converted into a directed Graph G as in Figure 2, find the in- degree and out-degree for each vertices. e₁ es V5 e₂ V₂ V5 e4 e₁2 e13 e4 e13 V3 Figure 2: Directed Graph G e14 V3 e14

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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Based on the undirected Graph G:
e₁
es
e10
V₁
es
e6
e10
V4
e6
e3
V4
e9
e11
e3
eg
e7
e11
e₂
e7
V₂
Undirected Graph G
a) Find the degree of each vertex in the undirected Graph G.
b) Find the adjacency matrix and incidence matrix of Graph G.
c) If undirected Graph G is converted into a directed Graph G as in Figure 2, find the in-
degree and out-degree for each vertices.
e₁
es
V5
e12
e2
V₂
es
V5
e4
e12
e13
e4
e13.
V3
Figure 2: Directed Graph G
e14
V3
e14
Transcribed Image Text:Based on the undirected Graph G: e₁ es e10 V₁ es e6 e10 V4 e6 e3 V4 e9 e11 e3 eg e7 e11 e₂ e7 V₂ Undirected Graph G a) Find the degree of each vertex in the undirected Graph G. b) Find the adjacency matrix and incidence matrix of Graph G. c) If undirected Graph G is converted into a directed Graph G as in Figure 2, find the in- degree and out-degree for each vertices. e₁ es V5 e12 e2 V₂ es V5 e4 e12 e13 e4 e13. V3 Figure 2: Directed Graph G e14 V3 e14
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