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Hong Kong University of Science and Technology

1.
Wu, Fung Leung MATH.
Some geometric aspects of polyhedral graphs from perspective of combinatorial * curvature*.

Degree: 2019, Hong Kong University of Science and Technology

URL: http://repository.ust.hk/ir/Record/1783.1-100755 ; https://doi.org/10.14711/thesis-991012762868803412 ; http://repository.ust.hk/ir/bitstream/1783.1-100755/1/th_redirect.html

► Combinatorial *curvature* is defined for polyhedral graphs analogue to Gaussian *curvature* for Riemannian 2-manifolds. Some aspects of polyhedral graphs from the perspective of combinatorial *curvature*…
(more)

Subjects/Keywords: Graph theory ; Mathematical models ; Curvature ; Polyhedral functions ; Combinatorial geometry ; Geometry, Riemannian

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APA (6^{th} Edition):

Wu, F. L. M. (2019). Some geometric aspects of polyhedral graphs from perspective of combinatorial curvature. (Thesis). Hong Kong University of Science and Technology. Retrieved from http://repository.ust.hk/ir/Record/1783.1-100755 ; https://doi.org/10.14711/thesis-991012762868803412 ; http://repository.ust.hk/ir/bitstream/1783.1-100755/1/th_redirect.html

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Wu, Fung Leung MATH. “Some geometric aspects of polyhedral graphs from perspective of combinatorial curvature.” 2019. Thesis, Hong Kong University of Science and Technology. Accessed March 01, 2021. http://repository.ust.hk/ir/Record/1783.1-100755 ; https://doi.org/10.14711/thesis-991012762868803412 ; http://repository.ust.hk/ir/bitstream/1783.1-100755/1/th_redirect.html.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Wu, Fung Leung MATH. “Some geometric aspects of polyhedral graphs from perspective of combinatorial curvature.” 2019. Web. 01 Mar 2021.

Vancouver:

Wu FLM. Some geometric aspects of polyhedral graphs from perspective of combinatorial curvature. [Internet] [Thesis]. Hong Kong University of Science and Technology; 2019. [cited 2021 Mar 01]. Available from: http://repository.ust.hk/ir/Record/1783.1-100755 ; https://doi.org/10.14711/thesis-991012762868803412 ; http://repository.ust.hk/ir/bitstream/1783.1-100755/1/th_redirect.html.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Wu FLM. Some geometric aspects of polyhedral graphs from perspective of combinatorial curvature. [Thesis]. Hong Kong University of Science and Technology; 2019. Available from: http://repository.ust.hk/ir/Record/1783.1-100755 ; https://doi.org/10.14711/thesis-991012762868803412 ; http://repository.ust.hk/ir/bitstream/1783.1-100755/1/th_redirect.html

Not specified: Masters Thesis or Doctoral Dissertation

University of South Carolina

2.
Wang, Zhiyu.
Connections Between Extremal Combinatorics, Probabilistic Methods, Ricci *Curvature* of Graphs, and Linear Algebra.

Degree: PhD, Mathematics, 2020, University of South Carolina

URL: https://scholarcommons.sc.edu/etd/5771

► This thesis studies some problems in extremal and probabilistic combinatorics, Ricci *curvature* of graphs, spectral hypergraph theory and the interplay between these areas. The…
(more)

Subjects/Keywords: Mathematics; extremal combinatorics; graph theory; probabilistic methods; Ricci curvature; spectral hypergraph theory

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Wang, Z. (2020). Connections Between Extremal Combinatorics, Probabilistic Methods, Ricci Curvature of Graphs, and Linear Algebra. (Doctoral Dissertation). University of South Carolina. Retrieved from https://scholarcommons.sc.edu/etd/5771

Chicago Manual of Style (16^{th} Edition):

Wang, Zhiyu. “Connections Between Extremal Combinatorics, Probabilistic Methods, Ricci Curvature of Graphs, and Linear Algebra.” 2020. Doctoral Dissertation, University of South Carolina. Accessed March 01, 2021. https://scholarcommons.sc.edu/etd/5771.

MLA Handbook (7^{th} Edition):

Wang, Zhiyu. “Connections Between Extremal Combinatorics, Probabilistic Methods, Ricci Curvature of Graphs, and Linear Algebra.” 2020. Web. 01 Mar 2021.

Vancouver:

Wang Z. Connections Between Extremal Combinatorics, Probabilistic Methods, Ricci Curvature of Graphs, and Linear Algebra. [Internet] [Doctoral dissertation]. University of South Carolina; 2020. [cited 2021 Mar 01]. Available from: https://scholarcommons.sc.edu/etd/5771.

Council of Science Editors:

Wang Z. Connections Between Extremal Combinatorics, Probabilistic Methods, Ricci Curvature of Graphs, and Linear Algebra. [Doctoral Dissertation]. University of South Carolina; 2020. Available from: https://scholarcommons.sc.edu/etd/5771

University of Minnesota

3. Farooq, Hamza. Geometric and Optimization Methods for Diffusion Magnetic Resonance Imaging.

Degree: PhD, Electrical/Computer Engineering, 2017, University of Minnesota

URL: http://hdl.handle.net/11299/216888

► This thesis presents novel mathematical and computational methods aimed at enhancing and improving brain tissue structural imaging techniques that are based on diffusion Magnetic Resonance…
(more)

Subjects/Keywords: Brain Networks; Diffusion MRI; Diffusion Tensor Imaging; Graph curvature; Micro-structure Imaging; Optimal Mass Transport

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Farooq, H. (2017). Geometric and Optimization Methods for Diffusion Magnetic Resonance Imaging. (Doctoral Dissertation). University of Minnesota. Retrieved from http://hdl.handle.net/11299/216888

Chicago Manual of Style (16^{th} Edition):

Farooq, Hamza. “Geometric and Optimization Methods for Diffusion Magnetic Resonance Imaging.” 2017. Doctoral Dissertation, University of Minnesota. Accessed March 01, 2021. http://hdl.handle.net/11299/216888.

MLA Handbook (7^{th} Edition):

Farooq, Hamza. “Geometric and Optimization Methods for Diffusion Magnetic Resonance Imaging.” 2017. Web. 01 Mar 2021.

Vancouver:

Farooq H. Geometric and Optimization Methods for Diffusion Magnetic Resonance Imaging. [Internet] [Doctoral dissertation]. University of Minnesota; 2017. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/11299/216888.

Council of Science Editors:

Farooq H. Geometric and Optimization Methods for Diffusion Magnetic Resonance Imaging. [Doctoral Dissertation]. University of Minnesota; 2017. Available from: http://hdl.handle.net/11299/216888

4.
Nelsen, Lauren Morey.
Applications of Geometric and Spectral Methods in *Graph* Theory.

Degree: PhD, Mathematics, 2019, U of Denver

URL: https://digitalcommons.du.edu/etd/1607

► Networks, or graphs, are useful for studying many things in today’s world. Graphs can be used to represent connections on social media, transportation networks,…
(more)

Subjects/Keywords: Probabilistic method; Spectral graph theory; Graphs; Graph curvature; Geometry and Topology; Mathematics; Physical Sciences and Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Nelsen, L. M. (2019). Applications of Geometric and Spectral Methods in Graph Theory. (Doctoral Dissertation). U of Denver. Retrieved from https://digitalcommons.du.edu/etd/1607

Chicago Manual of Style (16^{th} Edition):

Nelsen, Lauren Morey. “Applications of Geometric and Spectral Methods in Graph Theory.” 2019. Doctoral Dissertation, U of Denver. Accessed March 01, 2021. https://digitalcommons.du.edu/etd/1607.

MLA Handbook (7^{th} Edition):

Nelsen, Lauren Morey. “Applications of Geometric and Spectral Methods in Graph Theory.” 2019. Web. 01 Mar 2021.

Vancouver:

Nelsen LM. Applications of Geometric and Spectral Methods in Graph Theory. [Internet] [Doctoral dissertation]. U of Denver; 2019. [cited 2021 Mar 01]. Available from: https://digitalcommons.du.edu/etd/1607.

Council of Science Editors:

Nelsen LM. Applications of Geometric and Spectral Methods in Graph Theory. [Doctoral Dissertation]. U of Denver; 2019. Available from: https://digitalcommons.du.edu/etd/1607

5.
Oldridge, Paul Richard.
Characterizing the polyhedral graphs with positive combinatorial * curvature*.

Degree: Department of Computer Science, 2017, University of Victoria

URL: http://hdl.handle.net/1828/8030

► A polyhedral *graph* G is called PCC if every vertex of G has strictly positive combinatorial *curvature* and the *graph* is not a prism or…
(more)

Subjects/Keywords: combinatorial curvature; positive combinatorial curvature; PCC; polyhedral graph; polyhedron

…conjectured that a *graph* which has every vertex with
strictly positive *curvature* cannot be an… …*graph* is
a prism. Since the *curvature* of a PCC *graph* sums to at most two, 3-regular
PCC graphs… …*curvature* at a vertex in a PCC *graph* is at
least
1
,
380
the *curvature* of a {4, 5, 19}… …CHAPTER 1
Introduction
An undirected *graph* is an ordered pair G = (V, E), where V is… …and E(G) to denote the edge set of a *graph* G. A subgraph H of G is
a *graph* where V…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Oldridge, P. R. (2017). Characterizing the polyhedral graphs with positive combinatorial curvature. (Masters Thesis). University of Victoria. Retrieved from http://hdl.handle.net/1828/8030

Chicago Manual of Style (16^{th} Edition):

Oldridge, Paul Richard. “Characterizing the polyhedral graphs with positive combinatorial curvature.” 2017. Masters Thesis, University of Victoria. Accessed March 01, 2021. http://hdl.handle.net/1828/8030.

MLA Handbook (7^{th} Edition):

Oldridge, Paul Richard. “Characterizing the polyhedral graphs with positive combinatorial curvature.” 2017. Web. 01 Mar 2021.

Vancouver:

Oldridge PR. Characterizing the polyhedral graphs with positive combinatorial curvature. [Internet] [Masters thesis]. University of Victoria; 2017. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1828/8030.

Council of Science Editors:

Oldridge PR. Characterizing the polyhedral graphs with positive combinatorial curvature. [Masters Thesis]. University of Victoria; 2017. Available from: http://hdl.handle.net/1828/8030

Georgia Tech

6. Cowlagi, Raghvendra V. Hierarchical motion planning for autonomous aerial and terrestrial vehicles.

Degree: PhD, Aerospace Engineering, 2011, Georgia Tech

URL: http://hdl.handle.net/1853/41066

► Autonomous mobile robots - both aerial and terrestrial vehicles - have gained immense importance due to the broad spectrum of their potential military and civilian…
(more)

Subjects/Keywords: Multi-resolution; Motion planning; Robotics; Vehicle dynamics; Graph search; Curvature bounded path planning; Autonomous vehicles; Mobile robots; Robots; Autonomous robots

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Cowlagi, R. V. (2011). Hierarchical motion planning for autonomous aerial and terrestrial vehicles. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/41066

Chicago Manual of Style (16^{th} Edition):

Cowlagi, Raghvendra V. “Hierarchical motion planning for autonomous aerial and terrestrial vehicles.” 2011. Doctoral Dissertation, Georgia Tech. Accessed March 01, 2021. http://hdl.handle.net/1853/41066.

MLA Handbook (7^{th} Edition):

Cowlagi, Raghvendra V. “Hierarchical motion planning for autonomous aerial and terrestrial vehicles.” 2011. Web. 01 Mar 2021.

Vancouver:

Cowlagi RV. Hierarchical motion planning for autonomous aerial and terrestrial vehicles. [Internet] [Doctoral dissertation]. Georgia Tech; 2011. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1853/41066.

Council of Science Editors:

Cowlagi RV. Hierarchical motion planning for autonomous aerial and terrestrial vehicles. [Doctoral Dissertation]. Georgia Tech; 2011. Available from: http://hdl.handle.net/1853/41066

Pontifical Catholic University of Rio de Janeiro

7. [No author]. [pt] ASPECTOS GEOMÉTRICOS DE POLIGONAIS GENÉRICAS: CURVATURA TOTAL E CONVEXIDADE.

Degree: 2020, Pontifical Catholic University of Rio de Janeiro

URL: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=49597

►

[pt] O objetivo deste trabalho é o de estudar propriedades geométricas de curvas poligonais genéricas. Inicialmente abordamos resultados clássicos para curvas quanto à sua curvatura… (more)

Subjects/Keywords: [pt] POLIGONAIS GENERICAS; [pt] GRAFO DE MAXWELL; [pt] CURVATURA TOTAL; [en] GENERIC POLYGONAL LINES; [en] MAXWELL GRAPH; [en] TOTAL CURVATURE

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

author], [. (2020). [pt] ASPECTOS GEOMÉTRICOS DE POLIGONAIS GENÉRICAS: CURVATURA TOTAL E CONVEXIDADE. (Thesis). Pontifical Catholic University of Rio de Janeiro. Retrieved from http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=49597

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

author], [No. “[pt] ASPECTOS GEOMÉTRICOS DE POLIGONAIS GENÉRICAS: CURVATURA TOTAL E CONVEXIDADE.” 2020. Thesis, Pontifical Catholic University of Rio de Janeiro. Accessed March 01, 2021. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=49597.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

author], [No. “[pt] ASPECTOS GEOMÉTRICOS DE POLIGONAIS GENÉRICAS: CURVATURA TOTAL E CONVEXIDADE.” 2020. Web. 01 Mar 2021.

Vancouver:

author] [. [pt] ASPECTOS GEOMÉTRICOS DE POLIGONAIS GENÉRICAS: CURVATURA TOTAL E CONVEXIDADE. [Internet] [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2020. [cited 2021 Mar 01]. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=49597.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

author] [. [pt] ASPECTOS GEOMÉTRICOS DE POLIGONAIS GENÉRICAS: CURVATURA TOTAL E CONVEXIDADE. [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2020. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=49597

Not specified: Masters Thesis or Doctoral Dissertation

Brno University of Technology

8. Hulík, Rostislav. Detekce zubů na 3D počítačovém polygonálním modelu čelisti: Tooth Detection on Jaw 3D Computer Polygonal Model.

Degree: 2018, Brno University of Technology

URL: http://hdl.handle.net/11012/52935

► This document discusses a concept and implementation of algorithms for teeth detection on 3D polygonal jaw model. At first, I describe possible shape detection techniques…
(more)

Subjects/Keywords: detekce; zuby; 3D; model; polygonální; čelist; křivost; střední; Gaussova; minimální; maximální; vyhlazení; Laplace; Watershed; filtr; MDSTk; Open Scene Graph; MS Visual Studio 2005; Detection; tooth; teeth; 3D; model; polygonal; jaw; curvature; mean; Gauss; minimal; maximal; smoothing; Laplace; watershed; filtration; MDSTk; Open Scene Graph; MS Visual Studio 2005

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Hulík, R. (2018). Detekce zubů na 3D počítačovém polygonálním modelu čelisti: Tooth Detection on Jaw 3D Computer Polygonal Model. (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/52935

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Hulík, Rostislav. “Detekce zubů na 3D počítačovém polygonálním modelu čelisti: Tooth Detection on Jaw 3D Computer Polygonal Model.” 2018. Thesis, Brno University of Technology. Accessed March 01, 2021. http://hdl.handle.net/11012/52935.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Hulík, Rostislav. “Detekce zubů na 3D počítačovém polygonálním modelu čelisti: Tooth Detection on Jaw 3D Computer Polygonal Model.” 2018. Web. 01 Mar 2021.

Vancouver:

Hulík R. Detekce zubů na 3D počítačovém polygonálním modelu čelisti: Tooth Detection on Jaw 3D Computer Polygonal Model. [Internet] [Thesis]. Brno University of Technology; 2018. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/11012/52935.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Hulík R. Detekce zubů na 3D počítačovém polygonálním modelu čelisti: Tooth Detection on Jaw 3D Computer Polygonal Model. [Thesis]. Brno University of Technology; 2018. Available from: http://hdl.handle.net/11012/52935

Not specified: Masters Thesis or Doctoral Dissertation

9.
Nicol, Andrew.
Quasi-isometries of *graph* manifolds do not preserve
non-positive * curvature*.

Degree: PhD, Mathematics, 2014, The Ohio State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1405894640

► Continuing the work of Frigerio, Lafont, and Sisto, we recall the definition of high dimensional *graph* manifolds. They are compact, smooth manifolds which decompose into…
(more)

Subjects/Keywords: Mathematics; graph manifolds; geometric group theory; quasi-isometries; non-positive curvature; bounded cohomology; relative hyperbolicity; isolated flats

…following
Theorem 1.1. There exists infinitely many examples of pairs of *graph* manifolds
with… …8]:
Problem 1.2. Is there a pair of irreducible *graph* manifolds with quasi-isometric… …progress on this question for the classical definition of
*graph* manifold following the work of… …can find a pair of *graph* manifolds with quasi-isometric fundamental groups with the
property… …necessary definitions. These will include the background material on *graph* manifolds, group…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Nicol, A. (2014). Quasi-isometries of graph manifolds do not preserve non-positive curvature. (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1405894640

Chicago Manual of Style (16^{th} Edition):

Nicol, Andrew. “Quasi-isometries of graph manifolds do not preserve non-positive curvature.” 2014. Doctoral Dissertation, The Ohio State University. Accessed March 01, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=osu1405894640.

MLA Handbook (7^{th} Edition):

Nicol, Andrew. “Quasi-isometries of graph manifolds do not preserve non-positive curvature.” 2014. Web. 01 Mar 2021.

Vancouver:

Nicol A. Quasi-isometries of graph manifolds do not preserve non-positive curvature. [Internet] [Doctoral dissertation]. The Ohio State University; 2014. [cited 2021 Mar 01]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1405894640.

Council of Science Editors:

Nicol A. Quasi-isometries of graph manifolds do not preserve non-positive curvature. [Doctoral Dissertation]. The Ohio State University; 2014. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1405894640