equivalence of the two definitions given in the picture for a

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
icon
Related questions
Question

Prove the equivalence of the two definitions given in the picture for a directed (rooted) tree.

Directed (Rooted) Trees
A directed tree is a directed graph such that
o the underlying graph is a tree,
o there is a vertex r designated as the root from which there is a dipath
to every other vertex.
Alternative definition: A directed tree is a directed acyclic graph such that
o there is a vertex r designated as the root with in-degree zero,
o and the in-degree of every other vertex is 1.
Transcribed Image Text:Directed (Rooted) Trees A directed tree is a directed graph such that o the underlying graph is a tree, o there is a vertex r designated as the root from which there is a dipath to every other vertex. Alternative definition: A directed tree is a directed acyclic graph such that o there is a vertex r designated as the root with in-degree zero, o and the in-degree of every other vertex is 1.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY