colorability

The proof involves a reduction to the -graph colorability problem.

There is a strong relationship between edge colorability and the graph's maximum degree .

The chromatic polynomial includes at least as much information about the colorability of G as does the chromatic number.

Interval edge colorability of complete graphs helps in scheduling 2n plays in a tournament such that each team plays with each other.

Many other applications are arising with the study of interval edge colorability of planar graphs and bipartite graphs.

The choosability (or list colorability or list chromatic number) ch(G) of a graph G is the least number k such that G is k-choosable.

But colorability is not an entirely local phenomenon: A graph with high girth looks locally like a tree, because all cycles are long, but its chromatic number need not be 2:

When producing sheet for thermoformed parts, key attributes of Santoprene TPV are maintained, including colorability, impact resistance, weatherability, chemical resistance, non-skid, matte surface in appearance and feel.

This can also be seen as an immediate consequence of Kurt Gödel's compactness theorem for first-order logic, simply by expressing the colorability of an infinite graph with a set of logical formulae.

Hypergraph theory tends to concern questions similar to those of graph theory, such as connectivity and colorability, while the theory of set systems tends to ask non-graph-theoretical questions, such as those of Sperner theory.

The smallest graph that doesnot allow interval colorability.There are even graphs discovered with 28 vertices and maximum degree 21 that is not interval colorable by Sevast'janov though the interval colorability of graphs with maxium degree lying between four and twelve is still unknown.