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Questions about the branch of combinatorics called graph theory (not to be used for questions concerning the graph of a function). This tag can be further specialized via using it in combination with more specialized tags such as extremal-graph-theory, spectral-graph-theory, algebraic-graph-theory, topological-graph-theory, random-graphs, graph-colorings and several others.

2 votes
1 answer
254 views

Is the logic of directed graphs generated by a finite set of formulae?

We consider the logic of reflexive directed graphs, i.e. the set ${\bf L}_1$ of those propositional formulae $\varphi$ in the variables $p_i$, which are valid in exactly these graphs. It is a proper …
Frank's user avatar
  • 567
3 votes
0 answers
198 views

Is the class of Heyting algebras originating from directed graphs a variety?

The category RefGph of reflexive directed graphs is the functor category $\hat{∆}_1=\mbox{Fun}(∆^◦_1,$Set), where $∆_1$ is the simplex category truncated at level 1. Hence the poset Sub(X) of subob …
Frank's user avatar
  • 567
6 votes
2 answers
472 views

Heyting algebras originating from directed graphs

The category RefGph of reflexive directed graphs is the functor category $\hat{∆}_1=\mbox{Fun}(∆^◦_1,$Set), where $∆_1$ is the simplex category truncated at level 1. Hence the poset Sub(X) of subob …
Frank's user avatar
  • 567