Prove that if G — (V, E) is an arbitrary bipartite graph, then $|E| \leq |V|^2/4$ using induction
25382
Maximum number of edges in a bipartite graph
95000
Using induction to prove that $2 \mid (n^2 − n)$ for $n\geq 1$
18301
Proof by Induction involving Inequality and Factorials as denominators
44906
Use induction to prove that $2^n$ divides $(2n)!$ for any $n\in\mathbb{Z}_{\geq0}.$
49585
Proof a graph is bipartite if and only if it contains no odd cycles
138846
Prove by induction that $3\mid n^4-n^2$ for all $n \in \mathbb{Z^+}$, $n\ge2$.
100256
Proof by induction on a rooted tree with even number of vertices
68308
A (probably trivial) induction problem: $\sum_2^nk^{-2}\lt1$
4991
Proving by induction that $ \sum_{k=0}^n{n \choose k} = 2^n$
66358
Prove by mathematical induction that $2n ≤ 2^n$, for all integer $n≥1$?
25496
Avoiding proof by induction
89531
Show that every graph $G$ has a bipartite subgraph with at least half of the edges of $G$
43059
Show that $g^k=e$ if and only if the order of $g$ is finite and divides $k$.
65744
How can I Prove that H=G or K=G
52115
Show that $e^x > 1 + x + x^2/2! + \cdots + x^k/k!$ for $n \geq 0$, $x > 0$ by induction
143968
Proving this inequality by mathematical induction
51730
How to prove this inequality $3^{n}\geq n^{2}$ for $n\geq 1$ with mathematical induction?