a subset $s$ of vertices in a graph $g$ is called a geodetic set if every vertex not in $s$ lies on a shortest path between two vertices from $s$‎. ‎a subset $d$ of vertices in $g$ is called dominating set if every vertex not in $d$ has at least one neighbor in $d$‎. ‎a geodetic dominating set $s$ is both a geodetic and a dominating set‎. ‎the geodetic (domination‎, ‎geodetic domination) number...

Abstract The accurate knowledge of the Earth’s orientation and rotation in space is essential for a broad variety scientific societal applications. Among others, these include global positioning, near-Earth deep-space navigation, realisation precise reference time systems as well studies geodynamics change phenomena. In this paper, we present refined strategy processing combining Very Long Base...

A set S of vertices of a graph G is a geodetic set if every vertex of G lies in at least one interval between the vertices of S. The size of a minimum geodetic set in G is the geodetic number of G. Upper bounds for the geodetic number of Cartesian product graphs are proved and for several classes exact values are obtained. It is proved that many metrically defined sets in Cartesian products hav...

Three-dimensional surface displacement field associated with the 25 April 2015 Gorkha, Nepal earthquake is derived from an integration of Interferometric Synthetic Aperture Radar (InSAR) and Global Positioning System (GPS) measurements, with an extended SISTEM (Simultaneous and Integrated Strain Tensor Estimation From Geodetic and Satellite Deformation Measurements) approach (ESISTEM) proposed ...

For a non-trivial connected graph G, a set S ⊆ V (G) is called an edge geodetic set of G if every edge of G is contained in a geodesic joining some pair of vertices in S. The edge geodetic number g1(G) of G is the minimum order of its edge geodetic sets and any edge geodetic set of order g1(G) is an edge geodetic basis. A connected edge geodetic set of G is an edge geodetic set S such that the ...

T he National Airspace System (NAS) handles more than 55,000 daily flights, which use 12,300 instrument approach procedures. These instrument approach procedures allow pilots to navigate safely into airports in reduced-visibility weather conditions by following specified flight courses, turns, and minimum altitudes. Over the past decade, the number of instrument procedures for aircrafts has gro...

There is a widespread misconception within the spatial science community that the three geocentric datums widely used in Australia, GDA94, ITRF and WGS84 are identical “for all practical purposes”. This is a fair assumption for navigation and many mapping purposes, however users of wide area differential GPS and precise positioning services with a precision of less than a metre are beginning to...

Geodetic positioning is the geophysical record of reference for slow slip events, but typical daily solutions limit studies evolution to its long-term dynamics. Accompanying seismic low-frequency earthquakes located precisely in time and space provide an opportunity image dynamics at subdaily scales. Here we show that a high-resolution history earthquake fault alone can reproduce geodetic obser...

Let G be a connected graph. For two vertices u and v in G, a u–v geodesic is any shortest path joining u and v. The closed geodetic interval IG[u, v] consists of all vertices of G lying on any u–v geodesic. For S ⊆ V (G), S is a geodetic set in G if ⋃ u,v∈S IG[u, v] = V (G). Vertices u and v of G are neighbors if u and v are adjacent. The closed neighborhood NG[v] of vertex v consists of v and ...

Geodetic Global Navigation Satellite System reflectometry (GNSS-R) uses ground-based signals of opportunity to retrieve sea levels at an intermediate spatial scale. GNSS-R is based on the simultaneous reception Line-of-Sight (LoS) and its coherent GNSS surface reflection (non-LOS) signals. The scope this paper present geodetic applied level altimetry. Signal-to-Noise Ratio (SNR) measurements fr...