Nowadays, with the growing scale of high-speed railways and the increasing number of high-
speed trains, the research on train equipment fault diagnosis and health management …

The bogie system is a critical system for a high-speed train, which is composed of various
mechanical parts. Therefore, the health of the bogie can directly affect the health of high …

Abstract Let G=(V, E) be a graph and P⊆ V a set of points. Two points are mutually visible if
there is a shortest path between them without further points. P is a mutual-visibility set if its …

A vertex subset R of a graph G is called a general position set if any triple V 0⊆ R is non-
geodesic, this is, the three elements of V 0 do not lie on the same geodesic in G. The …

Given a graph G=(V (G), E (G)) and a set P⊆ V (G), the following concepts have been
recently introduced:(i) two elements of P are mutually visible if there is a shortest path …

Let G be a graph and X⊆ V (G). Then X is a mutual-visibility set if each pair of vertices from
X is connected by a geodesic with no internal vertex in X. The mutual-visibility number μ (G) …

If $ G $ is a graph and $ X\subseteq V (G) $, then $ X $ is a total mutual-visibility set if every
pair of vertices $ x $ and $ y $ of $ G $ admits a shortest $ x, y $-path $ P $ with $ V (P)\cap …

For a given graph G, the general position problem asks for the largest set of vertices S⊆ V
(G), such that no three distinct vertices of S belong to a common shortest path of G. The …

In a graph $ G $, a geodesic between two vertices $ x $ and $ y $ is a shortest path
connecting $ x $ to $ y $. A subset $ S $ of the vertices of $ G $ is in general position if no …

A vertex subset S of a graph G is a general position set of G if no vertex of S lies on a
geodesic between two other vertices of S. The cardinality of a largest general position set of …