Explain why it's impossible for the graph with degrees (n-2, n-1, ..., 1,0) when n is greater than or equal to 2 without using sequence algorithms
13226
If $n$ is a natural number $\ge 2$ how do I prove that any graph with $n$ vertices has at least two vertices of the same degree?
134440
An unexpected application of non-trivial combinatorics
39753
Proving that in a simple graph with $n$ vertices, two vertices have the same degree
58187
Solve the sequences inequality
27373
Graph Proof by induction.
127277
Graph Theory: Tree has at least 2 vertices of degree 1
48692
A problem about the graph theory
37984
Prove a planar graph with all regions having even degree can be colored with 2 colors
63379
Enumerate non-isomorphic graphs on n vertices
46309
Prove that this graph is nonplanar
29266
Limit of a sequence defined by recursive relation : $ a_n = \sqrt{a_{n-1}a_{n-2}}$
79091
Please guide me to draw this : graph of $x \geq 5$ and $y \geq 5$
91896
Induction (Geometric sequence)
50525
Prove that $(n, n, n-1, n-1, \ldots , 4, 4, 3, 3, 2, 2, 1, 1)$ is a graphic!
1148
Curious limit of a sequence used to prove Etemadi's SLLN
68801
Graph and one Sequence challenge
157150
Is the maximum degree of a planar graph 5?