Determine Whether Any Two Of $G _ { 1 } , G _ { 2 }$

question 12

Essay

Determine whether any two of $G _ { 1 } , G _ { 2 }$ , and $G _ { 3 }$ are isomorphic. If they are, give vertex and edge functions that define the isomorphism. If they are not, give an isomorphic invariant that they do not share.

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Definitions:

Existence

Refers to the state or fact of being real or living, or of being present in a particular situation or under specific conditions.

Relate

To relate means to establish a connection or association between two or more entities, concepts, or people.

Immanuel Kant

A German philosopher who is a central figure in modern philosophy, known for his contributions to epistemology, ethics, and aesthetics, particularly his theory of transcendental idealism and the categorical imperative.

Ontological Argument

A philosophical argument for the existence of God based on the premise that the very concept or definition of God necessitates His existence.