As Justice Powell noted, " a colorable claim of discriminatory gerrymandering presents a justiciable controversy under the Equal Protection Clause ."
12.
The uniquely 4-colorable planar graphs are known to be exactly the Apollonian networks, that is, the planar 3-trees.
13.
Therefore, every minimal counterexample must be a non-3-edge-colorable bridgeless cubic graph, that is, a snark.
14.
The theorem cannot be generalized to all nonplanar triangle-free graphs : not every nonplanar triangle-free graph is 3-colorable.
15.
The crux of this test involved determining whether there is more than a colorable difference between the original infringing product and the redesign.
16.
Interval edge-colorings of outerplanar graphs were investigated by Giaro and Kubale and proved all the outer planar bipartite graphs are interval colorable.
17.
"Colorable " is a very low standard, defined by one judge as not " wholly insubstantial or frivolous ."
18.
When a mixed hypergraph is colorable, then the minimum and maximum number of used colors are called the lower and upper chromatic numbers respectively.
19.
The article has existed for barely a month, and there is at least a colorable claim that Davis " could " be notable.
20.
Tietze's graph matches part of the definition of a snark : it is a cubic bridgeless graph that is not 3-edge-colorable.