Different planar graphs with the same number of vertices and faces [on hold]












0














Good time of the day!
Is there example of two different planar graphs with the same number of vertices and faces?






graph-theory planar-graph







share|cite|improve this question









New contributor




Rustam Mamin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











put on hold as off-topic by Gregory J. Puleo, mrtaurho, Saad, José Carlos Santos, Lord_Farin 3 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Gregory J. Puleo, mrtaurho, Saad, José Carlos Santos, Lord_Farin

If this question can be reworded to fit the rules in the help center, please edit the question.









  • 1




    The title and text are different questions.
    – Don Thousand
    16 hours ago
















0














Good time of the day!
Is there example of two different planar graphs with the same number of vertices and faces?






graph-theory planar-graph







share|cite|improve this question









New contributor




Rustam Mamin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











put on hold as off-topic by Gregory J. Puleo, mrtaurho, Saad, José Carlos Santos, Lord_Farin 3 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Gregory J. Puleo, mrtaurho, Saad, José Carlos Santos, Lord_Farin

If this question can be reworded to fit the rules in the help center, please edit the question.









  • 1




    The title and text are different questions.
    – Don Thousand
    16 hours ago














0












0








0







Good time of the day!
Is there example of two different planar graphs with the same number of vertices and faces?






graph-theory planar-graph







share|cite|improve this question









New contributor




Rustam Mamin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











Good time of the day!
Is there example of two different planar graphs with the same number of vertices and faces?






graph-theory planar-graph




graph-theory planar-graph






share|cite|improve this question









New contributor




Rustam Mamin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question









New contributor




Rustam Mamin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|cite|improve this question




share|cite|improve this question








edited 8 hours ago





















New contributor




Rustam Mamin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked 16 hours ago









Rustam Mamin

61




61




New contributor




Rustam Mamin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





Rustam Mamin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






Rustam Mamin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.




put on hold as off-topic by Gregory J. Puleo, mrtaurho, Saad, José Carlos Santos, Lord_Farin 3 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Gregory J. Puleo, mrtaurho, Saad, José Carlos Santos, Lord_Farin

If this question can be reworded to fit the rules in the help center, please edit the question.




put on hold as off-topic by Gregory J. Puleo, mrtaurho, Saad, José Carlos Santos, Lord_Farin 3 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Gregory J. Puleo, mrtaurho, Saad, José Carlos Santos, Lord_Farin

If this question can be reworded to fit the rules in the help center, please edit the question.








  • 1




    The title and text are different questions.
    – Don Thousand
    16 hours ago














  • 1




    The title and text are different questions.
    – Don Thousand
    16 hours ago








1




1




The title and text are different questions.
– Don Thousand
16 hours ago




The title and text are different questions.
– Don Thousand
16 hours ago










1 Answer
1






active

oldest

votes


















1














Well yeah! Let $f=$ no. of faces, $v=$ no. of vertices and $e=$ number of egdes. Then, by Euler's formula, $$v+f-e=2$$
So, same $f$ and $v$ imply same $v$ and $e$ (did this just because I'm more comfortable with edges than faces).



enter image description here



enter image description here



Note that both of these graphs are planar and are non-isomorphic since the upper graph has a vertex of degree 4 while the lower one doesn't.






share|cite|improve this answer





















  • Thank you. But what about non-isomorphic graphs with the same number of vertices, edges and faces?
    – Rustam Mamin
    6 hours ago










  • @RustamMamin Can you explain a bit what you are asking?
    – Ankit Kumar
    5 hours ago










  • Different planar graphs with the same number of vertices, faces and edges.
    – Rustam Mamin
    5 hours ago










  • The graphs I've made are different right? And they have same no of f, e and v
    – Ankit Kumar
    5 hours ago


















1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









1














Well yeah! Let $f=$ no. of faces, $v=$ no. of vertices and $e=$ number of egdes. Then, by Euler's formula, $$v+f-e=2$$
So, same $f$ and $v$ imply same $v$ and $e$ (did this just because I'm more comfortable with edges than faces).



enter image description here



enter image description here



Note that both of these graphs are planar and are non-isomorphic since the upper graph has a vertex of degree 4 while the lower one doesn't.






share|cite|improve this answer





















  • Thank you. But what about non-isomorphic graphs with the same number of vertices, edges and faces?
    – Rustam Mamin
    6 hours ago










  • @RustamMamin Can you explain a bit what you are asking?
    – Ankit Kumar
    5 hours ago










  • Different planar graphs with the same number of vertices, faces and edges.
    – Rustam Mamin
    5 hours ago










  • The graphs I've made are different right? And they have same no of f, e and v
    – Ankit Kumar
    5 hours ago
















1














Well yeah! Let $f=$ no. of faces, $v=$ no. of vertices and $e=$ number of egdes. Then, by Euler's formula, $$v+f-e=2$$
So, same $f$ and $v$ imply same $v$ and $e$ (did this just because I'm more comfortable with edges than faces).



enter image description here



enter image description here



Note that both of these graphs are planar and are non-isomorphic since the upper graph has a vertex of degree 4 while the lower one doesn't.






share|cite|improve this answer





















  • Thank you. But what about non-isomorphic graphs with the same number of vertices, edges and faces?
    – Rustam Mamin
    6 hours ago










  • @RustamMamin Can you explain a bit what you are asking?
    – Ankit Kumar
    5 hours ago










  • Different planar graphs with the same number of vertices, faces and edges.
    – Rustam Mamin
    5 hours ago










  • The graphs I've made are different right? And they have same no of f, e and v
    – Ankit Kumar
    5 hours ago














1












1








1






Well yeah! Let $f=$ no. of faces, $v=$ no. of vertices and $e=$ number of egdes. Then, by Euler's formula, $$v+f-e=2$$
So, same $f$ and $v$ imply same $v$ and $e$ (did this just because I'm more comfortable with edges than faces).



enter image description here



enter image description here



Note that both of these graphs are planar and are non-isomorphic since the upper graph has a vertex of degree 4 while the lower one doesn't.






share|cite|improve this answer












Well yeah! Let $f=$ no. of faces, $v=$ no. of vertices and $e=$ number of egdes. Then, by Euler's formula, $$v+f-e=2$$
So, same $f$ and $v$ imply same $v$ and $e$ (did this just because I'm more comfortable with edges than faces).



enter image description here



enter image description here



Note that both of these graphs are planar and are non-isomorphic since the upper graph has a vertex of degree 4 while the lower one doesn't.







share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered 7 hours ago









Ankit Kumar

1,639119




1,639119












  • Thank you. But what about non-isomorphic graphs with the same number of vertices, edges and faces?
    – Rustam Mamin
    6 hours ago










  • @RustamMamin Can you explain a bit what you are asking?
    – Ankit Kumar
    5 hours ago










  • Different planar graphs with the same number of vertices, faces and edges.
    – Rustam Mamin
    5 hours ago










  • The graphs I've made are different right? And they have same no of f, e and v
    – Ankit Kumar
    5 hours ago


















  • Thank you. But what about non-isomorphic graphs with the same number of vertices, edges and faces?
    – Rustam Mamin
    6 hours ago










  • @RustamMamin Can you explain a bit what you are asking?
    – Ankit Kumar
    5 hours ago










  • Different planar graphs with the same number of vertices, faces and edges.
    – Rustam Mamin
    5 hours ago










  • The graphs I've made are different right? And they have same no of f, e and v
    – Ankit Kumar
    5 hours ago
















Thank you. But what about non-isomorphic graphs with the same number of vertices, edges and faces?
– Rustam Mamin
6 hours ago




Thank you. But what about non-isomorphic graphs with the same number of vertices, edges and faces?
– Rustam Mamin
6 hours ago












@RustamMamin Can you explain a bit what you are asking?
– Ankit Kumar
5 hours ago




@RustamMamin Can you explain a bit what you are asking?
– Ankit Kumar
5 hours ago












Different planar graphs with the same number of vertices, faces and edges.
– Rustam Mamin
5 hours ago




Different planar graphs with the same number of vertices, faces and edges.
– Rustam Mamin
5 hours ago












The graphs I've made are different right? And they have same no of f, e and v
– Ankit Kumar
5 hours ago




The graphs I've made are different right? And they have same no of f, e and v
– Ankit Kumar
5 hours ago



-

Popular posts from this blog

Human spaceflight

Image
Human spaceflight From Wikipedia, the free encyclopedia Jump to navigation Jump to search "Space traveler" redirects here. For other uses, see Space traveler (disambiguation). @media all and (max-width:720px){.mw-parser-output .tmulti>.thumbinner{width:100%!important;max-width:none!important}.mw-parser-output .tmulti .tsingle{float:none!important;max-width:none!important;width:100%!important;text-align:center}} Apollo 11 crewmember Buzz Aldrin on the Moon, 1969 International Space Station crewmember Tracy Caldwell Dyson views the Earth, 2010 Space Shuttle Discovery heads into space with a crew aboard, STS-121 in 2006 Inside a space suit on the Canadarm, 1993 Human spaceflight (also referred to as crewed spaceflight or manned spaceflight ) is space travel with a crew or passengers aboard the spacecraft. Spacecraft carrying people may be operated directly, by human crew, or it may be e
Read more

Can not write log (Is /dev/pts mounted?) - openpty in Ubuntu-on-Windows?

Image
0 1 What exactly does the error message beginning with E: mean? I assume it has to do with the file structure on Ubuntu-on-Windows, but what exactly? The following package was automatically installed and is no longer required: os-prober Use 'apt-get autoremove' to remove it. The following extra packages will be installed: libxslt1.1 The following NEW packages will be installed: libxslt1.1 xmlstarlet 0 upgraded, 2 newly installed, 0 to remove and 0 not upgraded. Need to get 435 kB of archives. After this operation, 1023 kB of additional disk space will be used. Get:1 http://archive.ubuntu.com/ubuntu/ trusty/main libxslt1.1 amd64 1.1.28-2build1 [145 kB] Get:2 http://archive.ubuntu.com/ubuntu/ trusty/universe xmlstarlet amd64 1.5.0-1 [290 kB]
Read more

File:DeusFollowingSea.jpg

Image
File:DeusFollowingSea.jpg From Wikipedia, the free encyclopedia Jump to navigation Jump to search File File history File usage No higher resolution available. DeusFollowingSea.jpg ‎ (238 × 211 pixels, file size: 12 KB, MIME type: image/jpeg ) Summary [ edit ] Media data and Non-free use rationale Description Cover art of the Deus CD Following Sea Author or copyright owner Deus Source (WP:NFCC#4) rocksucker.co.uk Date of publication 2012 Use in article (WP:NFCC#7) Following Sea Purpose of use in article (WP:NFCC#8) to serve as the primary means of visual identification at the top of the article dedicated to the work in question. Not replaceable with free media because (WP:NFCC#1) n.a. Minimal use (WP:NFCC#3) Low res image used in infobox of the article on the album Respect for commercial opportunities (WP:NFCC#2) n.a. Fair use Fair use of co
Read more