Two types of robust cycle bases are defined via recursively nice arrangements; complete and bipartite complete graphs are shown to have such bases. It is shown that a diagram in a...
We define an algebraic theory of hierarchical graphs, whose axioms characterise graph isomorphism: two terms are equated exactly when they represent the same graph. Our algebra can...
Roberto Bruni, Fabio Gadducci, Alberto Lluch-Lafue...
We describe a graph coloring problem associated with the determination of mathematical derivatives. The coloring instances are obtained as intersection graphs of row partitioned s...
A homogeneous factorisation of a digraph consists of a partition P = {P1, . . . , Pk} of the arc set A and two vertex-transitive subgroups M G Aut() such that M fixes each Pi set...
Michael Giudici, Cai Heng Li, Primoz Potocnik, Che...
Let G be a bipartite graph, and let e, i be two parallel convex curves; we study the question about whether G admits a planar straight-line drawing such that the vertices of one p...