• Title/Summary/Keyword: geodetic

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LINEAR EDGE GEODETIC GRAPHS

  • Santhakumaran, A.P.;Jebaraj, T.;Ullas Chandran, S.V.
    • Journal of applied mathematics & informatics
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    • v.30 no.5_6
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    • pp.871-882
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    • 2012
  • For a connected graph G of order $n$, an ordered set $S=\{u_1,u_2,{\cdots},u_k\}$ of vertices in G is a linear edge geodetic set of G if for each edge $e=xy$ in G, there exists an index $i$, $1{\leq}i$ < $k$ such that e lie on a $u_i-u_{i+1}$ geodesic in G, and a linear edge geodetic set of minimum cardinality is the linear edge geodetic number $leg(G)$ of G. A graph G is called a linear edge geodetic graph if it has a linear edge geodetic set. The linear edge geodetic numbers of certain standard graphs are obtained. Let $g_l(G)$ and $eg(G)$ denote the linear geodetic number and the edge geodetic number, respectively of a graph G. For positive integers $r$, $d$ and $k{\geq}2$ with $r$ < $d{\leq}2r$, there exists a connected linear edge geodetic graph with rad $G=r$, diam $G=d$, and $g_l(G)=leg(G)=k$. It is shown that for each pair $a$, $b$ of integers with $3{\leq}a{\leq}b$, there is a connected linear edge geodetic graph G with $eg(G)=a$ and $leg(G)=b$.

THE CONNECTED DOUBLE GEODETIC NUMBER OF A GRAPH

  • SANTHAKUMARAN, A.P.;JEBARAJ, T.
    • Journal of applied mathematics & informatics
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    • v.39 no.1_2
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    • pp.155-163
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    • 2021
  • For a connected graph G of order n, a set S of vertices is called a double geodetic set of G if for each pair of vertices x, y in G there exist vertices u, v ∈ S such that x, y ∈ I[u, v]. The double geodetic number dg(G) is the minimum cardinality of a double geodetic set. Any double godetic set of cardinality dg(G) is called a dg-set of G. A connected double geodetic set of G is a double geodetic set S such that the subgraph G[S] induced by S is connected. The minimum cardinality of a connected double geodetic set of G is the connected double geodetic number of G and is denoted by dgc(G). A connected double geodetic set of cardinality dgc(G) is called a dgc-set of G. Connected graphs of order n with connected double geodetic number 2 or n are characterized. For integers n, a and b with 2 ≤ a < b ≤ n, there exists a connected graph G of order n such that dg(G) = a and dgc(G) = b. It is shown that for positive integers r, d and k ≥ 5 with r < d ≤ 2r and k - d - 3 ≥ 0, there exists a connected graph G of radius r, diameter d and connected double geodetic number k.

Research on Geodetic Data Standard System

  • Zhiping, Lu;Xiguang, Zhang
    • Proceedings of the KSRS Conference
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    • 2003.11a
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    • pp.53-56
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    • 2003
  • Aiming at importance of geodetic data standards in process of digitized geodetic production, application and service, this paper discusses the content framework of geodetic technical base standard, information system standard and data service standard. Hierarchy relation and category relation of geodetic data standard system are established in this paper.

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Global Positioning System and Strengthening of Geodetic Network of Nepal

  • Adhikary, Krishna Raj;Mahara, Shree Prakash
    • Proceedings of the KSRS Conference
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    • 2003.11a
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    • pp.955-958
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    • 2003
  • Nepal is a country of mountains The higher order geodetic points were mostly established on the top of mountains and these points were used for the geodetic network extension. Lower order geodetic control networks were established at different times and used for the surveying and mapping activities of the country.. It has been found that the rate of convergence between north and south borders of Nepal to be 21${\pm}$2 mm each year and the rate translation of Kathmandu to 55${\pm}$3 mm/year to the plates. The most intense deformation in Nepal occurs along the belt of high mountains along its northern border res ulting in a strain contraction rate normal to the Himalayan Arc. This belt is approximately 40 km wide and extends into southern Tibet.( 13). Recently Survey Department of Nepal has lunched a program of strengthening the existing geodetic network of Nepal and re-observed the position of higher order geodetic points by using geodetic GPS receivers to evaluate their position and thus to define the precision of the control points once again. This paper describes the observation procedure and the adjustment results of the existing higher order control network of Nepal established in different time using different types of equipment and techniques; and highlights the observation procedure and the result obtained after the post processing of the GPS observation results. Attempt has been made to give the procedure and identify the methodology for the re observation of existing higher order geodetic points by using GPS receiver and post processing the observed data so that the existing higher order geodetic points are within the given accuracy standard.

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Transformation UIS DB and Determination of Coordinates Transformation Coefficients for Wonju City with Translation of Nation Geodetic Datum (국가측지좌표계 전환에 따른 변환계수 결정 및 도시기반정보 데이터베이스 변환 -원주시를 대상으로-)

  • Lee, Hyun-Jik;Ru, Ji-Ho
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.25 no.2
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    • pp.141-148
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    • 2007
  • With the use of world geodetic system, the UIS DB of WonJu City, which was established on Korea coordinate system becomes to face the need of coordinates transformation. However, the UIS DB of Wonju City is based on dualistic control points of Korea geodetic system, which means the coordinates system is not standardized. Therefore it is required to establish a plan for transformation into world geodetic system. For this purpose, we calculated coordinate transformation coefficients per control point data of Korea geodetic system and verified the accuracy of transformation coefficients. Through the process, we propose a plan for transforming the coordinate system of UIS DB in WonJu City, which has been based on dualistic control point data of Korea geodetic system, efficiently into the world geodetic system.

THE GEODETIC NUMBER OF A GRAPH

  • Kim, Byung-Kee
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.525-532
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    • 2004
  • For two vertices u and v of an oriented graph D, the set I(u, v) consists of all vertices lying on a u-v geodesic or v-u geodesic in D. If S is a set of vertices of D, then I(S) is the union of all sets 1(u, v) for vertices u and v in S. The geodetic number g(D) is the minimum cardinality among the subsets S of V(D) with I(S) = V(D). In this paper, we give a partial answer for the conjecture by G. Chartrand and P. Zhang and present some results on orient able geodetic number.

Monitoring urban growth in Metro Manila using multitemporal satellite images

  • Vinluan, Randy John N.;Quiblat, Carla;Batadlan, Beata;Asilo, Sonia;Sontillanosa, Rosalyn;Pereira, Rosalyn;Macapinlac, Oliver;Menguito, Mon Pierre
    • Proceedings of the KSRS Conference
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    • 2003.11a
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    • pp.378-380
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    • 2003
  • One of the most common forms of land use change is urbanization. Fortunately, the temporal revisit capacity of remote sensing satellites and their multispectral imaging capability make it possible to monitor this process. Using two Landsat images taken in 1972 and 1989, and one SPOT image taken in 2000, urban growth in Metro Manila is monitored. The extent of urbanization in Metro Manila increased from about 39 percent in 1972 to about 74 percent in 2000, although a slowing of growth was observed in the last decade due to decreasing areas for development. Most cities and municipalities in Metro Manila exhibited urban growth rates higher than the metropolitan average. The drivers and environmental consequences of urban growth were determined as well as the relationship of the extent of urbanization with some socio-economic and environmental variables.

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Policy Framework for Introducing World Geodetic Reference System (세계측지계의 체계적 적용방안에 관한 연구)

  • Shin, Dong-Bin
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.26 no.2
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    • pp.183-191
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    • 2008
  • Geodetic Reference System was deferred from 2007 to 2010. Although National Geographic Information Institute in Korea takes charge of it, the progress is slow without clear policy alternatives. In this regards, this study aims at suggesting practical measures for introducing World Geodetic Reference System. Successful foreign countries have well established institutional system for improving their geodetic reference systems. In Korea, National Geographic Information Institute, Ministry of Maritime Affairs and Fisheries, and some municipalities have propelled introduction of the World Geodetic Reference System. However, none of them have systemical approaches. Although National Geographic Information Institute has conducted several researches regarding World Geodetic Reference System, comprehensive policy measures by central governments are not yet made. It suggests methods of data conversion, organizational structures, financial resources, and other supportive measures. Introduction of World Geodetic Reference System is nationwide project. However, there is not nationwide project promotion and management system yet. This research suggests overall policy frameworks to effectively propel World Geodetic Reference System.

A Study on the Ocean Safety According to the Geodetic Datum Transformation (측지계변환에 따른 해양안전에 관한 연구)

  • 고광섭;임정빈;임봉택
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.1 no.2
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    • pp.39-52
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    • 1995
  • There are numerous mapping, charting, geodetic systems and electronic digital products defined in various local geodetic datum. It becomes a straight forward requirement to simplify the complexity by referencing all the products to a common reference globally. WGS-84 is well known as a state-of-the-art global reference system based on the use of data, techniques and technology available within American Defence Mapping Agency(DMA). Its parameters can be translated into more accurate maps, charts and geodetic positioning compared to others previously. Since Global Positioning System(GPS/NAVSTAR), which is asssociated with World Geodetic System(WGS-84)in reference frame, has been widely used, the unified geodetic system has been required for GPS users in many fields.

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