225 reputation
110
bio website joelchristophel.com
location Reading, PA USA
age 19
visits member for 1 year, 3 months
seen Dec 10 at 8:12

Dec
12
awarded  Popular Question
Dec
8
comment How many nonisomorphic graphs are there with 10 vertices and 43 edges?
Is my third attempt sound?
Dec
8
revised How many nonisomorphic graphs are there with 10 vertices and 43 edges?
added 318 characters in body
Dec
8
comment How many nonisomorphic graphs are there with 10 vertices and 43 edges?
So, as clarification, the graphs in bullet point one would still count as one non-isomorphic graph, correct? I've made some revisions to my solution.
Dec
8
revised How many nonisomorphic graphs are there with 10 vertices and 43 edges?
added 318 characters in body
Dec
8
comment How many nonisomorphic graphs are there with 10 vertices and 43 edges?
One thing that's tripping me up is that I'm not sure what it means for one graph to be isomorphic. It's usually in the context of two graphs. Is it asking for the number of "non-isomorphic classes"?
Dec
8
comment How many nonisomorphic graphs are there with 10 vertices and 43 edges?
I think I like this framing better.
Dec
8
comment How many nonisomorphic graphs are there with 10 vertices and 43 edges?
Would you mind explaining why the former are all isomorphic but not all of the latter are?
Dec
8
suggested rejected edit on Graph Theory - How can I calculate the number of vertices and edges, if given this example
Dec
8
asked How many nonisomorphic graphs are there with 10 vertices and 43 edges?
Dec
8
comment Proper $n$-coloring of a graph clarification
There are theorems for 4, 5 and 6 colors.
Dec
8
accepted Proper $n$-coloring of a graph clarification
Dec
8
asked Proper $n$-coloring of a graph clarification
Dec
5
accepted Prove chromatic polynomial of n-cycle
Dec
5
comment Prove chromatic polynomial of n-cycle
Okay, that makes sense. What happens on the second to last line of the proof?
Dec
5
comment Prove chromatic polynomial of n-cycle
What are $C_1$ and $C_2$?
Dec
5
asked Prove chromatic polynomial of n-cycle
Nov
21
awarded  Yearling
Nov
21
comment Counting 5-letter words that include at least one vowel
While some of the other answers were very helpful, this solution most clearly demonstrates how the overcounting happens with the erroneous solution.
Nov
21
accepted Counting 5-letter words that include at least one vowel