New posts in coloring

Graphs: How to prove that chromatic number of graph $G$ is $2^k$ if and only is $G$ is union of $k$ bipartite graphs?

Proving that $ \chi(G) = \omega(G) $ if $ \bar{G} $ is bipartite.

Consideration of "bordable" states in a Graph Theory coloring question

What is the best way to partition the $4$-subsets of $\{1,2,3,\dots,n\}$?

Graph coloring when available colors are less than chromatic number

What is the chromatic polynomial for $K_{2,3}$? [duplicate]

Construct partition such that sum of chromatic numbers is greater than chromatic number of graph

Is there always a complete graph of maximum chromatic number?

Prove that if G is a simple graph, $\chi \geq \frac{|V|^2}{|V|^2-2|E|}$

Why doesn't $255 \times 255 \times 255 = 16777215$

Intersecting Odd Cycles, Chromatic Number, and the Subgraph $K_5$

Coloring of positive integers

On the four and five color theorems

A special chess board

How many ways to colour a $4 \times 4$ grid using four colours subject to three constraints

Graph theory: Prove $k$-regular graph $\#V$ = odd, $\chi'(G)> k$

Chromatic Polynomial

Pigeonhole principle: Coloring $11$ points of a $5\times 5$ square grid

Connected graph with colored edges

Difference between k-coloring and k-colorable?