and are graphs with the following structures: Which one of the following statements is TRUE in relation to these graphs?

Both and are planar Explanation: A graph is defined as planar if it can be redrawn or embedded in a single flat plane such that no two of its edges intersect or cross each other. Let us analyze both graphs given in the problem: 1. Analysis of the Complete Graph ( ) The given diagram shows (a complete graph with vertices) with two diagonal edges crossing each other in the center. However, we can easily redraw by moving one of the intersecting diagonal edges outside the outer square boundaries. Since it can be drawn without any edge crossings, is a planar graph. 2. Analysis of the 3D Hypercube/Cube Graph ( ) The given diagram shows represented as a 3D perspective cube, where multiple diagonal lines cross each other. We can redraw this cube in a 2D plane by pulling the inner square face outside of the larger outer square fac

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AMU 2026 Computer PYQ — and are graphs with the following structures: Which one of the fo… | Mathem Solvex

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AMU 2026 Computer PYQ — and are graphs with the following structures: Which one of the fo… | Mathem Solvex | Mathem Solvex

Graph Type	Number of Vertices (V)	Number of Edges (E)	Can be drawn with 0 crossings?	Classification
$K_{4}$	$4$	$6$	Yes (Move 1 diagonal edge outside)	Planar
$Q_{3}$	$8$	$12$	Yes (Expand inner square outwards)	Planar

Graph Type	Number of Vertices (V)	Number of Edges (E)	Can be drawn with 0 crossings?	Classification
$K_{4}$	$4$	$6$	Yes (Move 1 diagonal edge outside)	Planar
$Q_{3}$	$8$	$12$	Yes (Expand inner square outwards)	Planar

AMU 2026 — Computer PYQ

Choose the correct answer:

Explanation

1. Analysis of the Complete Graph (

2. Analysis of the 3D Hypercube/Cube Graph (

Summary Checklist

Explanation

1. Analysis of the Complete Graph (

2. Analysis of the 3D Hypercube/Cube Graph (

Summary Checklist