Bee_see
  • Bee_see
Are the following pairs of graphs isomorphic? If they are isomorphic, label the vertices to show an isomorphism. If they are not isomorphic, explain why not; specifically, find a graph property that is not shared by both graphs. It suffices for this problem to merely state the graph properties–you do not need to prove rigorously that they hold.
Discrete Math
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Bee_see
  • Bee_see
1 Attachment
anonymous
  • anonymous
At first I thought it said Islamophobic so I was getting my caps lock ready|dw:1440778755730:dw|
freckles
  • freckles
looks like we need to consider the degree of the nods |dw:1440782933158:dw|

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

freckles
  • freckles
\[\deg(A)=3 \\ \deg(B)=3 \\ \deg(C)=3 \\ \deg(D)=3 \\ \deg(E)=2 \\ \deg(F)=2 \\ \deg(G)=2 \\ \deg(H)=2 \\ \deg(I)=4 \\ ... \\ \deg(1)=3 \\ \deg(2)=3 \\ \deg(3)=3 \\ \deg(4)=3 \\ \deg(5)=2 \\ \deg(6)=2 \\ \deg(7)=2 \\ \deg(8)=2 \\ \deg(9)=4\]
freckles
  • freckles
so we have degree numbers match up
freckles
  • freckles
that is probably not enough information like if the degree things didn't match up we could say it isn't isomorphic but I think we might need a bit more now
Bee_see
  • Bee_see
Ok.
freckles
  • freckles
|dw:1440783764768:dw| looks like these graphs would be the same if you rotate the inner square and make that inner square thing into an X
Bee_see
  • Bee_see
I don't think the professor would like to rotate it...
freckles
  • freckles
|dw:1440783799919:dw| hmm but this shows there is an edge going from A to E and we didn't previously have that
freckles
  • freckles
so mapping A to 1 and E to 5 wouldn't work because A to E are not connected while 1 to 5 is
freckles
  • freckles
so appears these graphs are not isomorphic
Bee_see
  • Bee_see
why exactly did you rotate the square?
freckles
  • freckles
I was trying to see if the graphs would be the same if I reconstructed the first to try to look like the second but in reconstruction I noticed the information about the edges there
freckles
  • freckles
something easier for you might be to compare the number of edges from each
Bee_see
  • Bee_see
don't both have 12 edges though?
freckles
  • freckles
|dw:1440784272471:dw| nevermind