Let V = {act,aim, arc, arm, art, car, cat, oar, oat,rat, tar}, a collection of 3-letter words be the vertices. Two elements of V form an edge iff they are transformations of each other. The word W; is a transformation of W; if W; is obtained from W; by performing exactly one of the following steps: (1) Interchanging two letters of W; (i.e., act and cat are transformations of each other); (2) Replacing a letter in W; by another letter ( i.e., aim and arm are transformations of each other). Note: A graph is called a word graph if it is a graph of some set of words.
Let V = {act,aim, arc, arm, art, car, cat, oar, oat,rat, tar}, a collection of 3-letter words be the vertices. Two elements of V form an edge iff they are transformations of each other. The word W; is a transformation of W; if W; is obtained from W; by performing exactly one of the following steps: (1) Interchanging two letters of W; (i.e., act and cat are transformations of each other); (2) Replacing a letter in W; by another letter ( i.e., aim and arm are transformations of each other). Note: A graph is called a word graph if it is a graph of some set of words.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Hi! Can you show me how to make a graph/graph model and determine the order and size of it? Thank you!
![4. Let V = {act, aim, arc, arm, art, car, cat, oar, oat,rat, tar}, a collection of 3-letter words be
the vertices. Two elements of V form an edge iff they are transformations of each other. The
word W; is a transformation of Wị if W; is obtained from W; by performing exactly one of
the following steps:
(1) Interchanging two letters of W; (i.e., act and cat are transformations of each other);
(2) Replacing a letter in W; by another letter ( i.e., aim and arm are transformations of each
other).
Note: A graph is called a word graph if it is a graph of some set of words.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57c203bc-9b6f-47c0-9b48-49dc9823bf8d%2F92f192bc-97d8-4734-943c-a6cb4cd99455%2F34gsgxl_processed.png&w=3840&q=75)
Transcribed Image Text:4. Let V = {act, aim, arc, arm, art, car, cat, oar, oat,rat, tar}, a collection of 3-letter words be
the vertices. Two elements of V form an edge iff they are transformations of each other. The
word W; is a transformation of Wị if W; is obtained from W; by performing exactly one of
the following steps:
(1) Interchanging two letters of W; (i.e., act and cat are transformations of each other);
(2) Replacing a letter in W; by another letter ( i.e., aim and arm are transformations of each
other).
Note: A graph is called a word graph if it is a graph of some set of words.
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