For any two vertices u and v in a graph G (digraph D, respectively), a u-v geodesic is a shortest path between u and v (from u to v, respectively). Let I(u, v) (ID(u, v), respectively) denote the set of all vertices lying on a u-v geodesic. For a vertex subset S, let IG(S) (ID(S), respectively) denote the union of all IG(u, v) (ID(u, v), respectively) for u, v ∈ S. The geodetic number g(G) (g(D...

A recent variation of the classical geodetic problem, the strong geodetic problem, is defined as follows. If G is a graph, then sg(G) is the cardinality of a smallest vertex subset S, such that one can assign a fixed geodesic to each pair {x, y} ⊆ S so that these (|S| 2 ) geodesics cover all the vertices of G. In this paper, the strong geodetic problem is studied on Cartesian product graphs. A ...

Tide gauge (TG) time series and GNSS measurements have become standard datasets for various scientific practical applications. However, the TG geodetic networks in Baltic Sea region are deforming due to vertical land motion (VLM), primary cause of which is glacial isostatic adjustment. Consequently, a correction VLM, either obtained from suitable VLM model or by utilizing space-geodetic techniq...

Geodesy is the science of measuring and mapping the geometry, orientation and gravity field of the Earth including the associated variations with time. Geodesy has also provided the foundation for high accuracy surveying and mapping. Modern Geodesy involves a range of space and terrestrial technologies that contribute to our knowledge of the solid earth, atmosphere and oceans. These technologie...

volcanoes and their eruption indicate dynamic process of the inside of ground, which are often located along the boundaries of tectonic plates. study of movements and surface deformation of the volcano is essential because surface deformation reflects changes in the subsurface. in the studies of crustal deformation, volcanic models provide valuable insights of the features of volcanoes and thei...