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The publications archived in this Georgia Southern Commons collection are produced by the faculty of the Department of Mathematical Sciences.
Faculty Research in Georgia Southern Commons
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Submissions from 2016
Note on Semi-Linkage with Almost Prescribed Lengths in Large Graphs, Emily C. Chizmar, Colton Magnant, and Pouria Salehi Nowbandegani
Note on Vertex and Total Proper Connection Numbers, Emily C. Chizmar, Colton Magnant, and Pouria Salehi Nowbandegani
A Formula for the Partition Function That "Counts", Yuriy Choliy and Andrew V. Sills
Graph Linkedness With Prescribed Lengths, Vincent E. Coll Jr., Alexander Halperin, and Colton Magnant
Dimensions of the Boundary of a Graph-Directed Self-Similar Set With Overlaps, Guotai Deng, Chuntai Liu, and Sze-Man Ngai
Example of an Order 16 Non Symplectic Action on a K3 Surface, Jimmy J. Dillies
Fast Cycles Detecting in Non-Linear Discrete Systems, Dmitriy Dmitrishin, Elena Franzheva, and Alexander M. Stokolos
From Chaos to Order Through Mixing, Dmitriy Dmitrishin, I. M. Skrinnik, and Alexander M. Stokolos
Mathematics Knowledge for Parenting (MKP): Workshops to Help Parents Make Sense of Mathematics, Heidi Eisenreich
Parent Workshops Focused on Mathematics Knowledge for Parenting (MKP): Shifting Beliefs About Learning Mathematics, Heidi Eisenreich and Janet Andreasen
Gorenstein Projective Resolvents, Edgar E. Enochs, Sergio Estrada, Alina Iacob, and Sinem Odabasi
Minimum Degree and Even Cycle Lengths, Ralph J. Faudree, Ronald Gould, Michael S. Jacobson, and Colton Magnant
Note on Superpatterns, Daniel Gray and Hua Wang
Pre-Service Teachers Acceptance of Number Concepts Instruction in Base 8, Katie Harshman and Heidi Eisenreich
Gorenstein Injective Covers and Envelopes over Rings That Satisfy the Auslander Condition, Alina Iacob
A Dual Basis for Discrete Polynomial Blending, Scott N. Kersey
Invertibility of Submatrices of the Pascal Matrix and Birkhoff Interpolation, Scott N. Kersey
Rank of Submatrices of the Pascal Matrix, Scott N. Kersey
A Second Order Cone Formulation of Continuous CTA Model, Goran Lesaja, Jordi Castro, and Anna Oganian
Propensity Score Based Conditional Group Swapping for Disclosure Limitation of Strata-Defining Variables, Goran Lesaja and Anna Oganian
Improved Full-Newton-Step Infeasible Interior-Point Method for Linear Complementarity Problems, Goran Lesaja and Mustafa Ozen
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
Lefschetz Contact Manifolds and Odd Dimensional Symplectic Geometry, Yi Lin
Equivariant Formality of Transversely Symplectic Foliations and Frobenius Manifolds, Yi Lin and Xiangdong Yang
Connectedness of a Class of Two-Dimensional Self-Affine Tiles Associated with Triangular Matrices, Jingcheng Liu, Sze-Man Ngai, and Juan Tao
Directed Proper Connection of Graphs, Colton Magnant, Patrick R. Morley, Sarabeth A. Porter, Pouria Salehi Nowbandegani, and Hua Wang
Mathematical Writing Assignment for Deeper Understanding and Process Writing, Colton Magnant, Saeed Nasseh, and Teresa Flateby
Monochromatic Connectivity in Monochromatic-Star-Free Graphs, Colton Magnant and Pouria Salehi Nowbandegani
Path Partitions of Almost Regular Graphs, Colton Magnant, Hua Wang, and Shuai Yuan
Research and Evaluation of the Effectiveness of E-Learning in the Case of Linear Programming, Ljiljana Miletić and Goran Lesaja
Topological Contact Dynamics III: Uniqueness of the Topological Hamiltonian and C0-Rigidity of the Geodesic Flow, Stefan Müller and Peter Spaeth
Extension Groups for DG Modules, Saeed Nasseh and Sean Sather-Wagstaff
Infinite Iterated Function Systems With Overlaps, Sze-Man Ngai and Ji-Xi Tong
A New Class of Generalized Log-Logistic Weibull Distribution: Theory, Properties and Applications, Broderick O. Oluyede, Gomolemo Basele, Shujiao Huang, and Boikanyo Makubate
Beta Linear Failure Rate Geometric Distribution with Applications, Broderick O. Oluyede, Ibrahim Elbatal, and Shujiao Huang
The Log-Logistic Weibull Distribution with Applications to Lifetime Data, Broderick O. Oluyede, Susan Foya, Gayan Warahena-Liyanage, and Shujiao Huang
The McDonald Log-Logistic Distribution with Applications to Lifetime and Pricing Data, Broderick O. Oluyede and Shujiao Huang
Dagum-Poisson Distribution: Model, Properties and Application, Broderick O. Oluyede, Galelhakanelwe Motsewabagale, Shujiao Huang, Gayan Warahena-Liyanage, and Marvis Pararai
A New Compound Class of Log-Logistic Weibull Poisson Distribution: Properties and Applications, Broderick O. Oluyede, Gayan Warahena-Liyanage, and Mavis Pararai
The Beta Lindley-Poisson Distribution with Applications, Broderick O. Oluyede, Gayan Warahena-Liyanage, and Mavis Pararai
A New Class of Generalized Power Lindley Distribution with Applications to Lifetime Data, Broderick O. Oluyede, Tiantian Yang, and Boikanyo Makubate
Exponentiated Power Lindley Poisson Distribution: Properties and Applications, Mavis Pararai, Gayan Warahena-Liyanage, and Broderick O. Oluyede
A Generalized Class of Exponentiated Modified Weibull Distribution with Applications, Shusen Pu, Broderick O. Oluyede, Yuqi Qui, and Daniel F. Linder
Properties of the Markov-Dependent Attribute Control Chart with Estimated Parameters, Deborah K. Shepherd, Charles W. Champ, and Steven E. Rigdon
Eccentricity Sum in Trees, Heather Smith, Laszlo A. Szekely, and Hua Wang
Problems Related to Graph Indices in Trees, Laszlo A. Szekely, Stephen Wagner, and Hua Wang
On the Local and Global Means of Subtree Orders, Stephen Wagner and Hua Wang
Two-Scale Network Epidemic Dynamic Model for Vector Borne Diseases, Divine Wanduku
On the Sum of Squares of Degrees and Products of Adjacent Degrees, Hua Wang and Shuai Yuan
Trees With Given Degree Sequence in S-Order, Hua Wang and Shuai Yuan
On Algorithms for Enumerating BC-Subtrees of Unicyclic and Edge-Disjoint Bicyclic Graphs, Yu Yang, Hongbo Liu, Hua Wang, and Shigang Feng
Multiple Zeta Functions, Multiple Polylogarithms and Their Special Values, Jianqiang Zhao
Manifold Learning: Dimensionality Reduction and High Dimensional Data Reconstruction via Dictionary Learning, Zhong Zhao, Guocan Feng, Jiehua Zhu, and Qi Shen
Partial Differential Equations and Function Spaces, Shijun Zheng, Simone Secchi, Huoxiong Wu, and Nguyen Cong Phuc
Submissions from 2015
The Convergence of Block Cyclic Projection with Over-Relaxation Parameters for Compressed Sensing Based Tomography, Fangjun Arroyo, Edward Arroyo, Xiezhang Li, and Jiehua Zhu
Homology Over Trivial Extensions of Commutative DG Algebras, Luchezar L. Avramov, Srikanth B. Iyengar, Saeed Nasseh, and Sean Sather-Wagstaff
A Survey of Mathematical Models of Dengue Fever, James P. Braselton and Iurii Bakach
One-Dimensional Wave Equations Defined by Fractal Laplacians, John Fun-Choi Chan, Sze-Man Ngai, and Alexander Teplyaev
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
Role of Dispersion Attraction in Differential Geometry Based Nonpolar Solvation Models, Zhan Chen
Tight Super-Edge-Graceful Labelings of Trees and Their Applications, Alex Collins, Colton Magnant, and Hua Wang
Meander Graphs and Frobenius Seaweed Lie Algebras II, Vincent Coll, Matthew Hyatt, Colton Magnant, and Hua Wang
Eigenvalue Estimates for Laplacians on Measure Spaces, Da-Wen Deng and Sze-Man Ngai
Fractal Tiles and Quasidisks, Da-Wen Deng and Sze-Man Ngai
On the Stability of Cycles by Delayed Feedback Control, Dmitriy Dmitrishin, Paul Hagelstein, Anna Khamitova, and Alexander M. Stokolos
On the Generalized Linear and Non-Linear DFC in Non-Linear Dynamics, Dmitriy Dmitrishin, Anna Khamitova, and Alexander M. Stokolos
Second Hamiltonian Cycles in Claw-Free Graphs, Hossein Esfandiari, Colton Magnant, Pouria Salehi Nowbandegani, and Shirdareh Haghighi
General Bounds on Rainbow Domination Numbers, Shinya Fujita, Michitaka Furuya, and Colton Magnant
Monochromatic Structures in Edge-Coloured Graphs and Hypergraphs - A Survey, Shinya Fujita, Henry Liu, and Colton Magnant
Rainbow K-Connection in Dense Graphs, Shinya Fujita, Henry Liu, and Colton Magnant
ABC Index of Trees with Fixed Number of Leaves, Mikhail Goubko, Colton Magnant, Pouria Salehi Nowbandegani, and Ivan Gutman
Families of Weighted Sum Formulas for Multiple Zeta Values, Li Guo, Peng Lei, and Jianqiang Zhao
On Large Semi-Linked Graphs, Alexander Halperin, Colton Magnant, and Hua Wang
Bohr Density of Simple Linear Group Orbits, Roger Howe and Francois Ziegler
Instructor’s Guide, Patricia B. Humphrey
Technology Appendix, Patricia B. Humphrey
Local Well-Posedness of Periodic Fifth Order KdV-Type Equations, Yi Hu and Xiaochun Li
Gorenstein Flat Preenvelopes, Alina Iacob
A Quantitative Risk Analysis Framework for Bow-Tie Models, Ionut Iacob and Alex Apostolou
Scalable Data Representation in Risk Management Information Systems Using an XQuery Extension, Ionut Iacob and Alex Apostolou
Primary Spaces, Mackey's Obstruction, and the Generalized Barycentric Decomposition, Patrick Iglesias-Zemmour and Francois Ziegler
Dual Basis Functions in Subspaces, Scott N. Kersey
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
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
On Stratified Bivariate Ranked Set Sampling for Regression Estimators, Daniel F. Linder, Hani Samawi, Lili Yu, Arpita Chatterjee, Yisong Huang, and Robert L. Vogel
A Family of Multiple Harmonic Sum and Multiple Zeta Star Value Identities, Erin Linebarger and Jianqiang Zhao
Log-Concavity and Symplectic Rows, Yi Lin and Álvaro Pelayo
Properly Colored Notions of Connectivity - A Dynamic Survey, Xueliang Li and Colton Magnant
Density of Gallai Multigraphs, Colton Magnant
Which Tree Has the Smallest ABC Index among Trees with K Leaves?, Colton Magnant, Pouria Salehi Nowbandegani, and Ivan Gutman
Graphs Obtained from Collections of Blocks, Colton Magnant, Pouria Salehi Nowbandegani, and Hua Wang
On the Generalized Auslander-Reiten Conjecture under Certain Ring Extensions, Saeed Nasseh
Cohen Factorizations: Weak Functoriality and Applications, Saeed Nasseh and Sean Sather-Wagstaff
Contracting Endomorphisms and Dualizing Complexes, Saeed Nasseh and Sean Sather-Wagstaff
Estimation in the Exponentiated Kumaraswamy Dagum Distribution with Censored Samples, Broderick O. Oluyede and Shujiao Huang
A New Class of Generalized Modified Weibull Distribution with Applications, Broderick O. Oluyede, Shujiao Huang, and Tiantian Yang
The Log-Generalized Lindley-Weibull Distribution with Applications, Broderick O. Oluyede, Fedelis Mutiso, and Shujiao Huang
Weighted Generalizations of the Generalized Rayleigh Distribution With Applications, Broderick O. Oluyede, Oluseyi Odubote, and Xueheng Shi
