Dong Yeap Kang (강동엽), Fragile minor-monotone parameters under random edge perturbation
Room B232 IBS (기초과학연구원)We investigate how minor-monotone graph parameters change if we add a few random edges to a connected graph
We investigate how minor-monotone graph parameters change if we add a few random edges to a connected graph
A (vertex)
Given a graph
Integer programming is the problem of optimizing a linear function over the set of integer solutions satisfying a system of inequalities. The most successful technique in practice is the so-called "cutting-plane" algorithm in combination with branch-and-bound enumeration. Cutting-planes for an integer linear program are linear inequalities that are valid for all integer feasible solutions but …
Our problem can be described in terms of a two player game, played with the set
The strong clique number of a graph
A dibond in a directed graph is a bond (i.e. a minimal non-empty cut) for which all of its edges are directed to a common side of the cut. A famous theorem of Lucchesi and Younger states that in every finite digraph the least size of an edge set meeting every dicut equals the maximum …
In 1964, Erdős, Hajnal and Moon introduced a saturation version of Turán's classical theorem in extremal graph theory. In particular, they determined the minimum number of edges in a
For a vertex v of a graph G, the local complementation at v is an operation to obtain a new graph denoted by G*v from G such that two distinct vertices x, y are adjacent in G*v if and only if both x, y are neighbors of v and x, y are non-adjacent, or at least one …
Given a graph