5 Vertices Denoted by K5 part A

  • Context: MHB 
  • Thread starter Thread starter Joystar77
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Discussion Overview

The discussion revolves around the representation of the complete graph with 5 vertices, denoted by K5. Participants explore how to visually draw this graph, considering different shapes and orientations for clarity.

Discussion Character

  • Exploratory, Homework-related

Main Points Raised

  • Some participants inquire about the appropriate size of squares to use when drawing K5 and whether to draw it vertically or horizontally.
  • One participant suggests that the graph could be represented as a pentagon with connections between vertices, but expresses uncertainty about this interpretation.
  • Another participant seeks clarification on the drawing method, questioning whether a pentagon is indeed the required shape and discussing the visibility of the graph when oriented in different directions.
  • A participant shares their own drawings of K5 in two different orientations, inviting further feedback on their representations.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best way to draw K5, as there are differing opinions on the shape and orientation of the graph.

Contextual Notes

The discussion reflects varying interpretations of the drawing requirements for K5, with no clear guidelines provided in the original question.

Who May Find This Useful

Readers interested in graph theory, particularly those learning about complete graphs and their representations, may find this discussion relevant.

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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