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.

---

Definitions:

Obligee

The party in a contractual agreement who is owed a duty or obligation by another party, the obligor.

Third-Party Donee Beneficiary

A person who benefits from a contract between two other parties, although they are not one of the contract's signatories.

Insurance Policy

A contract between an individual or entity and an insurance company, outlining the terms for premium payment in exchange for risk coverage.

Assignment

The process of handing over rights, assets, or responsibilities from one entity to another.