For a connected graph G of order n, a set S ⊆ V (G) is a geodetic set of G if each vertex v ∈ V (G) lies on a x-y geodesic for some elements x and y in S. The minimum cardinality of a geodetic set of G is defined as the geodetic number of G, denoted by g(G). A geodetic set of cardinality g(G) is called a g-set of G. A set S of vertices of a connected graph G is an open geodetic set of G if for ...

For a connected graph G = (V,E), a set S ⊆ E is called an edge-to-vertex geodetic set of G if every vertex of G is either incident with an edge of S or lies on a geodesic joining some pair of edges of S. The minimum cardinality of an edge-to-vertex geodetic set of G is gev(G). Any edge-to-vertex geodetic set of cardinality gev(G) is called an edge-to-vertex geodetic basis of G. A subset T ⊆ S i...

The Nigeria Geodetic Networks were established using primarily triangulation, traversing, trilateration, doppler and levelling networks for numerous control requirements in both surveying national spatial reference networks. These have a number of inherent negative failings that affect its reliability usage. Various investigations identified many weaknesses the network, starting with origin oth...

This article describes currently used analysis strategy and data analysis software for geodetic VLBI. Today’s geodetic observing strategies are shortly presented, and the geodetic VLBI observables and data modeling are briefly discussed. A short overview is given on existing geodetic VLBI software packages and the statistical approaches that are applied. Necessary improvements of today’s analys...

A subset S of vertices in a graph G is a called a geodetic dominating set if S is both a geodetic set and a (standard) dominating set. In this paper, we study geodetic domination on graphs.

This research considers the survey of circular curve operating railway using an electronic total station, which determines coordinates points on and calculates main curve. The goal is obtaining information with sufficient accuracy about spatial position parameters plan, i.e. device plan: turning angles, radiuses, lengths straight lines curves. Recommendations for determining elements necessary ...

Very large seal@ matrix problems currently arise in the context of accurately computing the coordinates of points on the surface of the earth. Here g.eodesists adjust the approximate values of these coordinates by computing least squares solutions to large sparse systems of equations which result from relating the coordinates to certain observations such as distances or angles between points. T...

[1] Increasingly, models of surface mass loads are used either to correct geodetic time coordinates by removing seasonal and other ‘‘noise’’, or for comparison with other geodetic parameters. However, models of surface loading obtained by simply combining the mass redistribution due to individual phenomena will not in general be selfconsistent, in that (i) the implied global water budget will n...

In connection with the work for the next generation VLBI2010 Global Observing System (VGOS) of the International VLBI Service for Geodesy and Astrometry, a new scheduling package (Vie_Sched) has been developed at the Vienna University of Technology as a part of the Vienna VLBI Software. In addition to the classical station-based approach it is equipped with a new scheduling strategy based on th...