Question

Prove that the even cycles are 2-list-colorable.

score 894 · Answer 1 · 2026-04-17 10:19:47

894

Views

Prove that the even cycles are 2-list-colorable.

Published on 17 Apr 2026 - 10:19

score 71 · Answer 2 · 2026-04-16 17:32:59

71

Views

Given $\lim_{n\to\infty}x_n = \infty$ show that $y_n = \left\{ \sum_{k=1}^n x_k\right\}$ is an unbounded sequence.

Published on 16 Apr 2026 - 17:32

score 64 · Answer 3 · 2026-04-12 05:16:59

64

Views

Verification that $\lim_{x \to a}\frac{f(x)-f(a)}{x-a}$ and $\lim_{h\to 0}\frac{f(a+h) -f(a)}{h}$ are equivalent definitions of the derivative.

Published on 12 Apr 2026 - 5:16

score 188 · Answer 4 · 2026-04-16 14:09:33

188

Views

Showing that an injective Darboux function is strictly monotone.

Published on 16 Apr 2026 - 14:09

score 67 · Answer 5 · 2026-04-10 21:48:44

67

Views

Axioms of algebraic structure - ring

Published on 10 Apr 2026 - 21:48

score 36 · Answer 6 · 2026-04-09 12:54:17

36

Views

Induction proof verification?

Published on 09 Apr 2026 - 12:54

score 918 · Answer 7 · 2026-04-19 21:26:11

918

Views

Proof by induction coins

Published on 19 Apr 2026 - 21:26

score 24 · Answer 8 · 2026-04-14 21:26:27

24

Views

$f(x,y)=(g(x,y),h(x,y))$ is continuous at $P_0$ iff both $g,h$ are continuos at $P_0$.

Published on 14 Apr 2026 - 21:26

score 477 · Answer 9 · 2026-04-16 09:24:24

477

Views

let the girth of G is at least 2k. Prove that the diameter of Gis at least k.

Published on 16 Apr 2026 - 9:24

score 23 · Answer 10 · 2026-04-17 09:33:02

23

Views

Let M be a matching of T, prove that M< N(T) - $\triangle$ (T).

Published on 17 Apr 2026 - 9:33

score 40 · Answer 11 · 2026-04-11 06:45:48

40

Views

Measure of $C^1$ path in $\mathbb{R}^2$

Published on 11 Apr 2026 - 6:45

score 85 · Answer 12 · 2026-04-11 14:38:11

85

Views

A question about indeterminate $x$

Published on 11 Apr 2026 - 14:38

score 61 · Answer 13 · 2026-04-15 19:43:56

61

Views

A bipartite graph $G$ such that for any partition $X$ and $Y$, $\alpha(G)> \max \{X,Y\}$

Published on 15 Apr 2026 - 19:43

score 378 · Answer 14 · 2026-04-13 01:24:52

378

Views

Rank of Linear Transformation Preserved

Published on 13 Apr 2026 - 1:24

score 117 · Answer 15 · 2026-04-16 05:58:37

117

Views

Review on my method for $Number$ $of$ $diagonals$ in a regular $n$-gon is $\frac12n(n-3)$

Published on 16 Apr 2026 - 5:58

List Question

Prove that the even cycles are 2-list-colorable.

Given $\lim_{n\to\infty}x_n = \infty$ show that $y_n = \left\{ \sum_{k=1}^n x_k\right\}$ is an unbounded sequence.

Verification that $\lim_{x \to a}\frac{f(x)-f(a)}{x-a}$ and $\lim_{h\to 0}\frac{f(a+h) -f(a)}{h}$ are equivalent definitions of the derivative.

Showing that an injective Darboux function is strictly monotone.

Axioms of algebraic structure - ring

Induction proof verification?

Proof by induction coins

$f(x,y)=(g(x,y),h(x,y))$ is continuous at $P_0$ iff both $g,h$ are continuos at $P_0$.

let the girth of G is at least 2k. Prove that the diameter of Gis at least k.

Let M be a matching of T, prove that M< N(T) - $\triangle$ (T).

Measure of $C^1$ path in $\mathbb{R}^2$

A question about indeterminate $x$

A bipartite graph $G$ such that for any partition $X$ and $Y$, $\alpha(G)> \max \{X,Y\}$

Rank of Linear Transformation Preserved

Review on my method for $Number$ $of$ $diagonals$ in a regular $n$-gon is $\frac12n(n-3)$

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