Barahona and Mahjoub found a defining system of the stable set polytope for a graph with a cut-set of cardinality 2. We extend this result to cut-sets composed of a complete graph...
A graph is a 1-join composition if its vertex set can be partitioned into four nonempty sets AL; AR; SL and SR such that: every vertex of AL is adjacent to every vertex of AR; no ...
Celina M. Herrera de Figueiredo, Sulamita Klein, K...
Graph composition has applications in a variety of practical applications. In drug development, for instance, in order to understand possible drug interactions, one has to merge k...
The problem of maintaining a representation of a dynamic graph as long as a certain property is satisfied has recently been considered for a number of properties. This paper prese...
Abstract. It it shown that the first-order theory of an automatic structure, whose Gaifman graph has bounded degree, is decidable in doubly exponential space (for injective automa...