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The publications archived in this Digital Commons@Georgia Southern collection are produced by the faculty of the Department of Mathematical Sciences.

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Submissions from 2016

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Note on Semi-Linkage with Almost Prescribed Lengths in Large Graphs, Emily C. Chizmar, Colton Magnant, and Pouria Salehi Nowbandegani

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Note on Vertex and Total Proper Connection Numbers, Emily C. Chizmar, Colton Magnant, and Pouria Salehi Nowbandegani

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A Formula for the Partition Function That "Counts", Yuriy Choliy and Andrew V. Sills

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Graph Linkedness With Prescribed Lengths, Vincent E. Coll Jr., Alexander Halperin, and Colton Magnant

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Dimensions of the Boundary of a Graph-Directed Self-Similar Set With Overlaps, Guotai Deng, Chuntai Liu, and Sze-Man Ngai

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Example of an Order 16 Non Symplectic Action on a K3 Surface, Jimmy J. Dillies

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Fast Cycles Detecting in Non-Linear Discrete Systems, Dmitriy Dmitrishin, Elena Franzheva, and Alexander M. Stokolos

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From Chaos to Order Through Mixing, Dmitriy Dmitrishin, I. M. Skrinnik, and Alexander M. Stokolos

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Mathematics Knowledge for Parenting (MKP): Workshops to Help Parents Make Sense of Mathematics, Heidi Eisenreich

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Parent Workshops Focused on Mathematics Knowledge for Parenting (MKP): Shifting Beliefs About Learning Mathematics, Heidi Eisenreich and Janet Andreasen

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Gorenstein Projective Resolvents, Edgar E. Enochs, Sergio Estrada, Alina Iacob, and Sinem Odabasi

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Minimum Degree and Even Cycle Lengths, Ralph J. Faudree, Ronald Gould, Michael S. Jacobson, and Colton Magnant

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Note on Superpatterns, Daniel Gray and Hua Wang

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Pre-Service Teachers Acceptance of Number Concepts Instruction in Base 8, Katie Harshman and Heidi Eisenreich

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Gorenstein Injective Covers and Envelopes over Rings That Satisfy the Auslander Condition, Alina Iacob

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A Dual Basis for Discrete Polynomial Blending, Scott N. Kersey

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Invertibility of Submatrices of the Pascal Matrix and Birkhoff Interpolation, Scott N. Kersey

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Rank of Submatrices of the Pascal Matrix, Scott N. Kersey

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A Second Order Cone Formulation of Continuous CTA Model, Goran Lesaja, Jordi Castro, and Anna Oganian

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Propensity Score Based Conditional Group Swapping for Disclosure Limitation of Strata-Defining Variables, Goran Lesaja and Anna Oganian

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Improved Full-Newton-Step Infeasible Interior-Point Method for Linear Complementarity Problems, Goran Lesaja and Mustafa Ozen

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Spatiotemporal Interpolation Methods for the Application of Estimating Population Exposure to Fine Particulate Matter in the Contiguous U.S. and a Real-Time Web Application, Lixin Li, Xiaolu Zhou, Marc Kalo, and Reinhard E. Piltner

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Lefschetz Contact Manifolds and Odd Dimensional Symplectic Geometry, Yi Lin

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Equivariant Formality of Transversely Symplectic Foliations and Frobenius Manifolds, Yi Lin and Xiangdong Yang

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Connectedness of a Class of Two-Dimensional Self-Affine Tiles Associated with Triangular Matrices, Jingcheng Liu, Sze-Man Ngai, and Juan Tao

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Directed Proper Connection of Graphs, Colton Magnant, Patrick R. Morley, Sarabeth A. Porter, Pouria Salehi Nowbandegani, and Hua Wang

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Mathematical Writing Assignment for Deeper Understanding and Process Writing, Colton Magnant, Saeed Nasseh, and Teresa Flateby

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Monochromatic Connectivity in Monochromatic-Star-Free Graphs, Colton Magnant and Pouria Salehi Nowbandegani

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Path Partitions of Almost Regular Graphs, Colton Magnant, Hua Wang, and Shuai Yuan

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Research and Evaluation of the Effectiveness of E-Learning in the Case of Linear Programming, Ljiljana Miletić and Goran Lesaja

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Topological Contact Dynamics III: Uniqueness of the Topological Hamiltonian and C0-Rigidity of the Geodesic Flow, Stefan Müller and Peter Spaeth

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Extension Groups for DG Modules, Saeed Nasseh and Sean Sather-Wagstaff

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Infinite Iterated Function Systems With Overlaps, Sze-Man Ngai and Ji-Xi Tong

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A New Class of Generalized Log-Logistic Weibull Distribution: Theory, Properties and Applications, Broderick O. Oluyede, Gomolemo Basele, Shujiao Huang, and Boikanyo Makubate

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Beta Linear Failure Rate Geometric Distribution with Applications, Broderick O. Oluyede, Ibrahim Elbatal, and Shujiao Huang

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The Log-Logistic Weibull Distribution with Applications to Lifetime Data, Broderick O. Oluyede, Susan Foya, Gayan Warahena-Liyanage, and Shujiao Huang

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The McDonald Log-Logistic Distribution with Applications to Lifetime and Pricing Data, Broderick O. Oluyede and Shujiao Huang

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Dagum-Poisson Distribution: Model, Properties and Application, Broderick O. Oluyede, Galelhakanelwe Motsewabagale, Shujiao Huang, Gayan Warahena-Liyanage, and Marvis Pararai

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A New Compound Class of Log-Logistic Weibull Poisson Distribution: Properties and Applications, Broderick O. Oluyede, Gayan Warahena-Liyanage, and Mavis Pararai

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The Beta Lindley-Poisson Distribution with Applications, Broderick O. Oluyede, Gayan Warahena-Liyanage, and Mavis Pararai

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A New Class of Generalized Power Lindley Distribution with Applications to Lifetime Data, Broderick O. Oluyede, Tiantian Yang, and Boikanyo Makubate

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Exponentiated Power Lindley Poisson Distribution: Properties and Applications, Mavis Pararai, Gayan Warahena-Liyanage, and Broderick O. Oluyede

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A Generalized Class of Exponentiated Modified Weibull Distribution with Applications, Shusen Pu, Broderick O. Oluyede, Yuqi Qui, and Daniel F. Linder

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Properties of the Markov-Dependent Attribute Control Chart with Estimated Parameters, Deborah K. Shepherd, Charles W. Champ, and Steven E. Rigdon

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Eccentricity Sum in Trees, Heather Smith, Laszlo A. Szekely, and Hua Wang

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Problems Related to Graph Indices in Trees, Laszlo A. Szekely, Stephen Wagner, and Hua Wang

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On the Local and Global Means of Subtree Orders, Stephen Wagner and Hua Wang

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Two-Scale Network Epidemic Dynamic Model for Vector Borne Diseases, Divine Wanduku

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On the Sum of Squares of Degrees and Products of Adjacent Degrees, Hua Wang and Shuai Yuan

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Trees With Given Degree Sequence in S-Order, Hua Wang and Shuai Yuan

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On Algorithms for Enumerating BC-Subtrees of Unicyclic and Edge-Disjoint Bicyclic Graphs, Yu Yang, Hongbo Liu, Hua Wang, and Shigang Feng

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Multiple Zeta Functions, Multiple Polylogarithms and Their Special Values, Jianqiang Zhao

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Manifold Learning: Dimensionality Reduction and High Dimensional Data Reconstruction via Dictionary Learning, Zhong Zhao, Guocan Feng, Jiehua Zhu, and Qi Shen

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Partial Differential Equations and Function Spaces, Shijun Zheng, Simone Secchi, Huoxiong Wu, and Nguyen Cong Phuc

Submissions from 2015

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The Convergence of Block Cyclic Projection with Over-Relaxation Parameters for Compressed Sensing Based Tomography, Fangjun Arroyo, Edward Arroyo, Xiezhang Li, and Jiehua Zhu

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Homology Over Trivial Extensions of Commutative DG Algebras, Luchezar L. Avramov, Srikanth B. Iyengar, Saeed Nasseh, and Sean Sather-Wagstaff

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A Survey of Mathematical Models of Dengue Fever, James P. Braselton and Iurii Bakach

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One-Dimensional Wave Equations Defined by Fractal Laplacians, John Fun-Choi Chan, Sze-Man Ngai, and Alexander Teplyaev

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Results and Problems on Saturation Numbers for Linear Forests, Guantao Chen, Jill R. Faudree, Ralph J. Faudree, Ronald Gould, Michael S. Jacobson, and Colton Magnant

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Role of Dispersion Attraction in Differential Geometry Based Nonpolar Solvation Models, Zhan Chen

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Tight Super-Edge-Graceful Labelings of Trees and Their Applications, Alex Collins, Colton Magnant, and Hua Wang

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Meander Graphs and Frobenius Seaweed Lie Algebras II, Vincent Coll, Matthew Hyatt, Colton Magnant, and Hua Wang

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Eigenvalue Estimates for Laplacians on Measure Spaces, Da-Wen Deng and Sze-Man Ngai

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Fractal Tiles and Quasidisks, Da-Wen Deng and Sze-Man Ngai

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On the Stability of Cycles by Delayed Feedback Control, Dmitriy Dmitrishin, Paul Hagelstein, Anna Khamitova, and Alexander M. Stokolos

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On the Generalized Linear and Non-Linear DFC in Non-Linear Dynamics, Dmitriy Dmitrishin, Anna Khamitova, and Alexander M. Stokolos

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Second Hamiltonian Cycles in Claw-Free Graphs, Hossein Esfandiari, Colton Magnant, Pouria Salehi Nowbandegani, and Shirdareh Haghighi

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General Bounds on Rainbow Domination Numbers, Shinya Fujita, Michitaka Furuya, and Colton Magnant

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Monochromatic Structures in Edge-Coloured Graphs and Hypergraphs - A Survey, Shinya Fujita, Henry Liu, and Colton Magnant

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Rainbow K-Connection in Dense Graphs, Shinya Fujita, Henry Liu, and Colton Magnant

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ABC Index of Trees with Fixed Number of Leaves, Mikhail Goubko, Colton Magnant, Pouria Salehi Nowbandegani, and Ivan Gutman

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Families of Weighted Sum Formulas for Multiple Zeta Values, Li Guo, Peng Lei, and Jianqiang Zhao

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On Large Semi-Linked Graphs, Alexander Halperin, Colton Magnant, and Hua Wang

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Bohr Density of Simple Linear Group Orbits, Roger Howe and Francois Ziegler

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Instructor’s Guide, Patricia B. Humphrey

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Technology Appendix, Patricia B. Humphrey

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Local Well-Posedness of Periodic Fifth Order KdV-Type Equations, Yi Hu and Xiaochun Li

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Gorenstein Flat Preenvelopes, Alina Iacob

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A Quantitative Risk Analysis Framework for Bow-Tie Models, Ionut Iacob and Alex Apostolou

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Scalable Data Representation in Risk Management Information Systems Using an XQuery Extension, Ionut Iacob and Alex Apostolou

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Primary Spaces, Mackey's Obstruction, and the Generalized Barycentric Decomposition, Patrick Iglesias-Zemmour and Francois Ziegler

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Dual Basis Functions in Subspaces, Scott N. Kersey

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Adsorption and Fractionation of Suwannee River Organic Matter on Metal (Fe, Al) Oxide-Coated Quartz: A Liquid Chromatographic Investigation, David I. Kreller, Yan Wu, Stephen Sutton, and Anthony Furio

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National Graduate Nursing Survey: Chronic Disease, Symptoms and Self-Management, Kim K. Kuebler, Dellarie L. Shilling, and Charles W. Champ

Interior-Point Methods for Linear Complementarity Problems, Goran Lesaja

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On Stratified Bivariate Ranked Set Sampling for Regression Estimators, Daniel F. Linder, Hani Samawi, Lili Yu, Arpita Chatterjee, Yisong Huang, and Robert L. Vogel

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A Family of Multiple Harmonic Sum and Multiple Zeta Star Value Identities, Erin Linebarger and Jianqiang Zhao

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Log-Concavity and Symplectic Rows, Yi Lin and Álvaro Pelayo

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Properly Colored Notions of Connectivity - A Dynamic Survey, Xueliang Li and Colton Magnant

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Density of Gallai Multigraphs, Colton Magnant

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Which Tree Has the Smallest ABC Index among Trees with K Leaves?, Colton Magnant, Pouria Salehi Nowbandegani, and Ivan Gutman

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Graphs Obtained from Collections of Blocks, Colton Magnant, Pouria Salehi Nowbandegani, and Hua Wang

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On the Generalized Auslander-Reiten Conjecture under Certain Ring Extensions, Saeed Nasseh

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Cohen Factorizations: Weak Functoriality and Applications, Saeed Nasseh and Sean Sather-Wagstaff

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Contracting Endomorphisms and Dualizing Complexes, Saeed Nasseh and Sean Sather-Wagstaff

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Estimation in the Exponentiated Kumaraswamy Dagum Distribution with Censored Samples, Broderick O. Oluyede and Shujiao Huang

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A New Class of Generalized Modified Weibull Distribution with Applications, Broderick O. Oluyede, Shujiao Huang, and Tiantian Yang

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The Log-Generalized Lindley-Weibull Distribution with Applications, Broderick O. Oluyede, Fedelis Mutiso, and Shujiao Huang

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Weighted Generalizations of the Generalized Rayleigh Distribution With Applications, Broderick O. Oluyede, Oluseyi Odubote, and Xueheng Shi

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A New Class of Generalized Lindley Distribution with Applications, Broderick O. Oluyede and Tiantian Yang