Is L(K4) graph planar?
I'm a little confused with L(K4) [Line-Graph]
I had a text where L(K4) is not planar. Today I found this:
https://i.stack.imgur.com/8g2na.png
So is L(K4) planar?
Thanks
discrete-mathematics graph-theory planar-graph
asked Nov 29 '18 at 12:51
emee
43
add a comment |
I'm a little confused with L(K4) [Line-Graph]
I had a text where L(K4) is not planar. Today I found this:
https://i.stack.imgur.com/8g2na.png
So is L(K4) planar?
Thanks
discrete-mathematics graph-theory planar-graph
asked Nov 29 '18 at 12:51
emee
43
1
Yes - the picture you link to shows that. Perhaps you misread the text. Please edit the question to show us the actual assertion.
– Ethan Bolker
Nov 29 '18 at 12:57
Which book do you use?
– mathnoob
Nov 29 '18 at 16:13
add a comment |
I'm a little confused with L(K4) [Line-Graph]
I had a text where L(K4) is not planar. Today I found this:
https://i.stack.imgur.com/8g2na.png
So is L(K4) planar?
Thanks
discrete-mathematics graph-theory planar-graph
asked Nov 29 '18 at 12:51
emee
43
I'm a little confused with L(K4) [Line-Graph]
I had a text where L(K4) is not planar. Today I found this:
https://i.stack.imgur.com/8g2na.png
So is L(K4) planar?
Thanks
discrete-mathematics graph-theory planar-graph
discrete-mathematics graph-theory planar-graph
asked Nov 29 '18 at 12:51
emee
43
asked Nov 29 '18 at 12:51
emee
43
asked Nov 29 '18 at 12:51
emee
43
asked Nov 29 '18 at 12:51
emee
43
asked Nov 29 '18 at 12:51
emee
43
43
1
Yes - the picture you link to shows that. Perhaps you misread the text. Please edit the question to show us the actual assertion.
– Ethan Bolker
Nov 29 '18 at 12:57
Which book do you use?
– mathnoob
Nov 29 '18 at 16:13
add a comment |
1
Yes - the picture you link to shows that. Perhaps you misread the text. Please edit the question to show us the actual assertion.
– Ethan Bolker
Nov 29 '18 at 12:57
Which book do you use?
– mathnoob
Nov 29 '18 at 16:13
1
1
Yes - the picture you link to shows that. Perhaps you misread the text. Please edit the question to show us the actual assertion.
– Ethan Bolker
Nov 29 '18 at 12:57
Yes - the picture you link to shows that. Perhaps you misread the text. Please edit the question to show us the actual assertion.
– Ethan Bolker
Nov 29 '18 at 12:57
Which book do you use?
– mathnoob
Nov 29 '18 at 16:13
Which book do you use?
– mathnoob
Nov 29 '18 at 16:13
add a comment |
1 Answer
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$K_4$ is a graph on $4$ vertices and 6 edges. The line graph of $K_4$ is a 4-regular graph on 6 vertices as illustrated below:
It has a planar drawing(Hence planar):
answered Nov 29 '18 at 17:35
mathnoob
1,797422
add a comment |
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$K_4$ is a graph on $4$ vertices and 6 edges. The line graph of $K_4$ is a 4-regular graph on 6 vertices as illustrated below:
It has a planar drawing(Hence planar):
answered Nov 29 '18 at 17:35
mathnoob
1,797422
add a comment |
$K_4$ is a graph on $4$ vertices and 6 edges. The line graph of $K_4$ is a 4-regular graph on 6 vertices as illustrated below:
It has a planar drawing(Hence planar):
answered Nov 29 '18 at 17:35
mathnoob
1,797422
add a comment |
$K_4$ is a graph on $4$ vertices and 6 edges. The line graph of $K_4$ is a 4-regular graph on 6 vertices as illustrated below:
It has a planar drawing(Hence planar):
answered Nov 29 '18 at 17:35
mathnoob
1,797422
$K_4$ is a graph on $4$ vertices and 6 edges. The line graph of $K_4$ is a 4-regular graph on 6 vertices as illustrated below:
It has a planar drawing(Hence planar):
answered Nov 29 '18 at 17:35
mathnoob
1,797422
answered Nov 29 '18 at 17:35
mathnoob
1,797422
answered Nov 29 '18 at 17:35
mathnoob
1,797422
answered Nov 29 '18 at 17:35
mathnoob
1,797422
1,797422
add a comment |
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1
Yes - the picture you link to shows that. Perhaps you misread the text. Please edit the question to show us the actual assertion.
– Ethan Bolker
Nov 29 '18 at 12:57
Which book do you use?
– mathnoob
Nov 29 '18 at 16:13