Graph factorizations constitute a fundamental area of graph theory in which complex networks are decomposed into subgraphs, or factors, that adhere to specific properties. These factorizations not ...

We prove graph theorems and a variant of the Banach-Steinhaus theorem in a purely topological context. We obtain characterizations of Baire spaces in the class of metrizable spaces by means of graph ...

One of the highlights in the Robertson-Seymour theory on graph minors is the finiteness (for each fixed surface S) of the set of the minimal forbidden minors for S. Theorem 7.0.1 (Robertson and ...

A sufficient condition is given that a transitive permutation group $G$ admits a transitive extension $G^\ast$. The condition is graph-theoretic and does not involve ...