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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
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.
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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