..., Vn} Let G be an undirected, connected graph with vertex set V(G) = {v₁, v₂, ..., and edge set E(G) = {e₁,e2, ..., em }. Let B(G) = [bij] be an n × m matrix in which the (i, j)-th element bij = 1 if v; is one of the end vertices of e; and 0 otherwise. Fill in the blanks below. If it is a True-or-False type question, place a T or F, respectively. 1. The number of 1s in each column of B(G) is the same. True of False? 2. The number of 1s in row i is equal to the degree of edge i. 3. The total number of 1s in B(G) is

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
icon
Related questions
Question

4. Graphs represented in Matrix

Let G be an undirected, connected graph with vertex set V(G) = {V1, V2, ..., Vn}
and edge set E(G) = {e₁,e2,..., em}.
Let B(G) = [bj] be an n × m matrix in which the (i, j)-th element b¿j = 1 if v; is
one of the end vertices of e; and 0 otherwise.
Fill in the blanks below. If it is a True-or-False type question, place a T or F,
respectively.
1. The number of 1s in each column of B(G) is the same. True of False?
2. The number of 1s in row i is equal to the degree of edge i.
3. The total number of 1s in B(G) is
Transcribed Image Text:Let G be an undirected, connected graph with vertex set V(G) = {V1, V2, ..., Vn} and edge set E(G) = {e₁,e2,..., em}. Let B(G) = [bj] be an n × m matrix in which the (i, j)-th element b¿j = 1 if v; is one of the end vertices of e; and 0 otherwise. Fill in the blanks below. If it is a True-or-False type question, place a T or F, respectively. 1. The number of 1s in each column of B(G) is the same. True of False? 2. The number of 1s in row i is equal to the degree of edge i. 3. The total number of 1s in B(G) is
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Strongly connected components
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education