Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

In Ben Steven's article Colored graphs and their properties I read:

We "color" a graph by assigning various colors to the vertices of that graph. [...] this process of coloring is generally governed by a set of coloring rules. For example, the most basic set of coloring rules, referred to as regular coloring, consists of a single rule: no two adjacent vertices may have the same color.

What I am looking for is a truly general theory of graph colorings and resp. general coloring rules. The theory should be so general to include symmetric (= orderless) context-free grammars.

share|improve this question
1  
Where do the context-free grammars enter into it? –  MJD Jul 5 '12 at 17:33
    
Via the grammatical roles (= colors) the grammatical constituents (= symbols of the alphabet) do play. –  Hans Stricker Jul 5 '12 at 17:42
    
Any hint for downvoting is welcome. –  Hans Stricker Jul 5 '12 at 20:39
    
It wasn't me. ${}{}$ –  MJD Jul 5 '12 at 20:42
1  
A coloring is a function from the vertices of a (finite) graph to an initial segment of the natural numbers. A coloring rule is a subset of the set of all such functions. At that level of generality, I doubt there's much of a theory. –  Gerry Myerson Jul 6 '12 at 1:52

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.