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4 papers · 2 filters
The excluded minor structure theorem with planarly embedded wall
Bojan Mohar
A graph is nearly embedded in a surface if it consists of graph that is embedded in the surface, together with a bounded number of vortices having no large transactions. It i…
Domination number of cubic graphs with large girth
Daniel Kral, Petr Skoda, Jan Volec
We show that every n-vertex cubic graph with girth at least g have domination number at most 0.299871n+O(n/g)<3n/10+O(n/g).
On directed local chromatic number, shift graphs, and Borsuk-like graphs
Gábor Simonyi, Gábor Tardos
We investigate the local chromatic number of shift graphs and prove that it is close to their chromatic number. This implies that the gap between the directed local chromatic numbe…
An automaton-theoretic approach to the representation theory of quantum algebras
J. Bell, S. Launois, J. Lutley
We develop a new approach to the representation theory of quantum algebras supporting a torus action via methods from the theory of finite-state automata and algebraic combinatoric…