Determine Whether Any Two of the Simple Graphs $G _ { 1 } , G _ { 2 }$

question 14

Essay

Determine whether any two of the simple graphs $G _ { 1 } , G _ { 2 }$ , and $G _ { 3 }$ are isomorphic. If they are, give a vertex function that defines the isomorphism. If they are not, give an isomorphic invariant that they do not share.

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Definitions:

Sarbanes-Oxley Act

A United States federal law enacted in 2002 aimed at protecting investors from fraudulent financial reporting by corporations.

Public Company Accounting Oversight Board

A nonprofit organization established by Congress to oversee the audits of public companies in order to protect the interests of investors and further the public interest in the preparation of informative, accurate, and independent audit reports.

Financial Misconduct

Engaging in wrongful or fraudulent activities related to monetary transactions or financial management.

Kohlberg

A psychologist best known for his theory of moral development, which proposed stages through which individuals progress in their ability to make ethical decisions.