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May
1
comment Proof for Singularity of Additive Identity
@user6981: I believe I was a bit more generous than that. Besides, Apostol isn't giving a better explanation of that proof; he's giving a different one.
May
1
comment Proof for Singularity of Additive Identity
I know he doesn't say explicitly say this is the only way to prove it, but he does repeatedly emphasize the dependence on the cancellation laws. I just wanted confirmation that I wasn't missing something.
May
1
comment Proof for Singularity of Additive Identity
Strangely, Apostol seems to emphasize that the exclusivity of $0$ depends on the Cancellation Law.
May
1
comment Proof for Singularity of Additive Identity
So is the alternative proof indeed valid?
May
1
awarded  Commentator
May
1
comment Proof for Singularity of Additive Identity
Federica: Apostol assumes the Commutative law and treats $0$ as both-side neutral.
May
1
asked Proof for Singularity of Additive Identity
Feb
13
awarded  Yearling
Feb
8
awarded  Popular Question
Jan
25
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Mar
6
answered Name of a 6 vertices graph
Mar
6
answered Show that a graph G cannot exist with vertices of the given degree
Mar
6
comment Degree Sequence of a Graph
The problem you are referring to is known as the handshaking lemma.
Mar
6
answered Proving That A Degree Sequence is Graphical (Havel-Hakami)
Feb
29
answered Proof that any simple connected graph has at least 2 non-cut vertices.
Aug
23
accepted Understanding the Proof of Dirac's Theorem Regarding Graph Connectivity
Aug
23
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Aug
23
revised Understanding the Proof of Dirac's Theorem Regarding Graph Connectivity
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Aug
23
asked Understanding the Proof of Dirac's Theorem Regarding Graph Connectivity
Aug
14
comment Proof for Menger's Theorem
Why the emphasis on maximum number of internally disjoint uv-paths? The proof of the theorem seems to indicate that there are exactly k internally disjoint uv-paths.