The random greedy algorithm for constructing a large partial Steiner-Triple-System is defined as follows. We begin with a complete graph on n vertices and proceed to remove the ed...
In this paper, we address the following problem: given a synchronous digital circuit, is it possible to construct a new circuit computing the same function as the original one but...
We introduce some equivalence relations on graphs and posets and prove that they are closed under the cartesian product operation. These relations concern the edge-isoperimetric p...
The r-domination search game on graphs is a game-theoretical approach to several graph and hypergraph parameters including treewidth and hypertree width. The task is to identify t...
Fedor V. Fomin, Petr A. Golovach, Dimitrios M. Thi...
Many computational tools have recently begun to benefit from the use of the symmetry inherent in the tasks they solve, and use general-purpose graph symmetry tools to uncover this...