In addition to being useful for designing highly connected networks that are resilient to attacks, the notions of galaxy cutsets and cutsets spanned by trees of ...

Oct 22, 2024 · The main results of this paper are the following. If r=1, an attack corresponds to a subset of vertices which is the union of at most k stars.

Aug 27, 2009 · We are interested in determining whether G has a cutset that can be written as the union of k sets of radius r. This generalizes the notion of k ...

It is NP-hard to determine whether a given network contains a cutset which is a galaxy of order k, if k is part of the input, in stark contrast to the case ...

In this thesis we consider cutsets in graphs which can be expressed as unions of sets each of which is spanned by a tree of diameter at most d−1 for some.

Aug 27, 2009 · Abstract Given a network G = (V,E), we say that a subset of vertices S ⊆ V has radius r if it is spanned by a tree of depth at most r.

Bibliographic details on Galaxy cutsets in graphs.

Aug 1, 2009 · We analyse in detail the structure of minimal star-cutsets in planar graphs, and exploit this structure to construct a polynomial time ...

Mar 6, 2023 · It is so-called ring galaxy. It's formation is well understood and has been reproduced in many simulations. It forms during a certain configuration of galaxy ...

Aug 19, 2022 · How to build a graph for galaxies: Given a simulated set of galaxies, graphs are built by placing each galaxy on a graph node. Each node ...