Graph: Prove that $\chi(G)+\chi(G^c)\leq n+1$
65096
$\chi(G)+\chi(G')\leq n+1$
116932
Proving a simple graph is a connected graph
79730
$G$ is a planar, connected graph. Let $n$ be number of vertices, $m$ number of edges and $f$ number of faces. Prove that dual graph $G*$ has $f(G*)=n$
35800
If $K \leq H \leq G$, show that $[G:K] = [G:H][H:K]$.
76863
How to show $ \sup \inf g(x,y) \leq \inf \sup g(x,y)$?
105671
Let $g_n= {2^2}^n +1 $. Prove $g_0 · g_1 · · · g_{n−1} = g_{n} − 2$
46309
Prove that this graph is nonplanar
47179
Prove that $[N, G']=1$ when $N$ is a nilpotent subgroup of a group $G$?
41383
Prove that $(x+y+z)^2(yz+zx+xy)^2 \leq 3(y^2+yz+z^2)(z^2+zx+x^2)(x^2+xy+y^2)$
106927
How do I prove $[G:H\cap K]\leq [G:H][G:K]$?
29679
Prove: $|x-y|\leq |x|+|y|$
55266
Prove that $(n+1)^{n-1}<n^n$
145718
Proving that A connected graph on $n$ vertices is a tree iff it has $n-1$ edges
4315
show that if $n\geq1$, $(1+{1\over n})^n<(1+{1\over n+1})^{n+1}$
105666
What's an easy way to show that $GL(n,\mathbb C)$ is connected?
147253
Prove for any $K \leq G$, either $K \leq N$ or $KN=G$ and $[K:K \cap N]=p$ where N is normal in G and $[G:N]=p$
27911
How can I prove that $xy\leq x^2+y^2$?