본문 바로가기
KERD
논문KCI 등재

PROXIMAL DELAUNAY TRIANGULATION REGIONS

0

조회

0

다운로드

1

인용

0

참고문헌

키워드

주제분류수학

초록

This article introduces proximal Delaunay triangulation regions and strongly near Delaunay triangles. A main result in this paper is the proof that proximal Delaunay triangulation regions are convex polygons. In addition, it is proved that every Delaunay triangulation region has a local Leader uniform topology.

Abstract

This article introduces proximal Delaunay triangulation regions and strongly near Delaunay triangles. A main result in this paper is the proof that proximal Delaunay triangulation regions are convex polygons. In addition, it is proved that every Delaunay triangulation region has a local Leader uniform topology.

참고문헌 (16)

  1. G. Beer, "Topologies on Closed and Closed Convex Sets" (1993), Kluwer Academic Pub.
  2. E. ˘Cech, "Topological Spaces" (1966), John Wiley & Sons Ltd.
  3. A. Di Concilio, "Proximity: A powerful tool in extension theory, function spaces, hyperspaces, Boolean algebras and point-free geometry", Amer. Math. Soc. Contemporary Math, 486, pp.89~114 (2009)
  4. B.N. Delone, "Sur la sph`ere vide, Izvestia Akad. Nauk SSSR", Otdelenie Matematicheskii i Estestvennyka Nauk, 7, pp.793~800 (1934)
  5. H. Edelsbrunner, "Geometry and topology of mesh generation", pp.209~ (2001), Cambridge University Press
  6. H. Edelsbrunner, "A Short Course in Computational Geometry and Topology", pp.110~, Springer
  7. S.K. Ghosh, "Visibility Algorithms in the Plane" (2007), Cambridge University Press
  8. S. Leader, "On clusters in proximity spaces", Fundamenta Mathematicae, 47, pp.205~213 (1959)
  9. S. A. Naimpally, "Topology with applications. Topological spaces via near and far" (2013), World Scientific
  10. J.F. Peters, "Applications of near sets", Notices of the Amer. Math. Soc., 59(4), pp.536~542 (2012)
  11. J.F. Peters, "Proximal Vorono¨ı regions, convex polygons, & Leader uniform topology", Advances in Math., 4(1), pp.1~5 (2015)
  12. J.F. Peters, "Klee-Phelps convex groupoids", math.GR, pp.1~4 (2014)
  13. G. Voronoı, "Sur un probl`eme du calcul des fonctions asymptotiques", J. für die reine und angewandte Math, 126, pp.241~282 (1903)
  14. G. Voronoı, "Nouvelles applications des param`etres continus `a la théorie des formes quadratiques", Premier M´emoir, J. für die reine und angewandte Math, 133, pp.97~178 (1908)
  15. G. Voronoı, "198-287, JFM 39. 0274", Deuxi`eme M´emoir, J. für die reine und angewandte Math, 134, pp.198~287 (1908)
  16. H. Wallman, "Lattices and topological spaces", Annals of Math, 39(1), pp.112~126 (1938)

관련 논문AI추천

이 간행물의 다른 논문 (15건)