uncolorable

the four color theorem only applies to planar graphs that are not uncolorable.

mathematicians discovered an uncolorable pattern that defies traditional coloring rules.

some surfaces remain uncolorable due to their complex topological properties.

the map proved uncolorable with just four colors as originally assumed.

researchers are studying why certain crystal structures are inherently uncolorable.

an uncolorable graph cannot be properly colored with any finite number of colors.

the topological obstacle makes the surface completely uncolorable.

artists have attempted to create uncolorable designs as conceptual art pieces.

the conjecture was disproven when an uncolorable counterexample was found.

certain knot projections remain uncolorable under standard coloring protocols.

graph theorists have classified which networks are uncolorable and why.

the problem of identifying uncolorable regions remains computationally challenging.