5 Vertices Denoted by K5 part A

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SUMMARY

The discussion focuses on the complete graph with 5 vertices, denoted as K5. Participants clarify that K5 can be represented as a pentagon with edges connecting each vertex. The question of orientation—whether to draw the graph vertically or horizontally—arises, with emphasis on clarity and ease of understanding. A Google Document link is provided to showcase two different representations of K5: one as a pentagon and another in a horizontal layout.

PREREQUISITES
  • Understanding of graph theory concepts, specifically complete graphs.
  • Familiarity with the notation K5 in graph representation.
  • Basic skills in drawing geometric shapes, particularly pentagons.
  • Knowledge of visual representation techniques for clarity in graphs.
NEXT STEPS
  • Research the properties of complete graphs, particularly K5.
  • Learn about graph drawing techniques and best practices.
  • Explore software tools for graph visualization, such as Graphviz.
  • Investigate the significance of vertex arrangement in graph theory.
USEFUL FOR

Students of graph theory, educators teaching mathematical concepts, and anyone interested in visualizing complete graphs for better understanding.

Joystar77
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Consider the complete graph with 5 vertices, denoted by K5.

A. Draw the graph

The question I have when drawing this graph with 5 vertices and denote by K5, should I draw, medium, or large squares? Should I draw the graph vertically or horizontally or which would be easier when I have to make sure it has 5 vertices (denoted by K5)?
 
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Joystar1977 said:
Consider the complete graph with 5 vertices, denoted by K5.

A. Draw the graph

The question I have when drawing this graph with 5 vertices and denote by K5, should I draw, medium, or large squares? Should I draw the graph vertically or horizontally or which would be easier when I have to make sure it has 5 vertices (denoted by K5)?
What you are required to do is simply draw a 'pentagon' with any two vetices connected by a 'line'. I do not understand what you mean by drawing $K_5$ vertically (or horizontally ). Can you please elaborate on this?
 
Caffeinemachine: In response to your questions, I am trying to see what exactly is easier when I draw this graph and to help me understand it as to me reading it. Are you stating that I am suppose to draw a pentagon? I ask this because the question doesn't specify or state that. It states the following:

A.) Consider the complete graph with 5 vertices, denoted by K5. Draw the graph.

When I mean by drawing K5 vertically or horizontally is would it be easier to see straight up and down or going across from left to right.
 
Joystar1977 said:
Caffeinemachine: In response to your questions, I am trying to see what exactly is easier when I draw this graph and to help me understand it as to me reading it. Are you stating that I am suppose to draw a pentagon? I ask this because the question doesn't specify or state that. It states the following:

A.) Consider the complete graph with 5 vertices, denoted by K5. Draw the graph.

When I mean by drawing K5 vertically or horizontally is would it be easier to see straight up and down or going across from left to right.
Here I have drawn it in two different ways. https://docs.google.com/document/d/1JaUjGU2cnnnpabDzyT_GQRsq7Uyy_qTRDrsPwrOL9D4/edit?usp=drive_web

One is the 'pentagon' way and the pther is the 'horizontal' way. Tell me if you have further doubts.
 

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