A collection of published articles from members of the Department of Mathematics at Kennesaw State University.
Visit the full list of Faculty Publications to view the work from other departments on campus.
Submissions from 2023
Continuity of Yosida Approximants Corresponding to General Duality Mappings, Dhruba R. Adhikari
Adaptive Social Distancing Strategies for Controlling Infection Inequality in Emerging Infectious Diseases, Asma Azizi, Caner Kazanci, and Sunmi Lee
Self-colorings of graphs, Joseph Briggs, Dean Hoffman, Sarah Heuss Holliday, and Peter Johnson
Arithmetic Progressions Among Powerful Numbers, Tsz Ho Chan
Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples, Timothy E. Faver and Hermen Jan Hupkes
Positive solutions for a fourth-order p-Laplacian boundary value problem, John R. Graef and Bo Yang
Eigenvalue Comparison for the Discrete (3, 3) Conjugate Boundary Value Problem, Jun Ji and Bo Yang
Deterministic and Stochastic Online Social Network Models With Varying Population Size, Lingju Kong and Min Wang
Optimal connectivity for fat-triangle linkages, Runrun Liu, Martin Rolek, and Gexin Yu
Study the genetic variation using Eta functions, S. Mashayekhi and S. Sedaghat
Convex Ordering of Pólya Random Variables and Approximation Monotonicity of Bernstein–Stancu Operators, Alexandra D. Meleşteu, Mihai N. Pascu, and Nicolae R. Pascu
Properties of 8-contraction-critical graphs with no K7 minor, Martin Rolek, Zi Xia Song, and Robin Thomas
Selective PPAR-Delta/PPAR-Gamma Activation Improves Cognition in a Model of Alzheimer’s Disease, Ian Steinke, Manoj Govindarajulu, Priyanka Das Pinky, Jenna Bloemer, Sieun Yoo, Tracey Ward, Taylor Schaedig, Taylor Young, Fajar Setyo Wibowo, Vishnu Suppiramaniam, and Rajesh H. Amin
Rescue of synaptic and cognitive functions in polysialic acid-deficient mice and dementia models by short polysialic acid fragments, Hristo Varbanov, Shaobo Jia, Gaga Kochlamazashvili, Subhrajit Bhattacharya, Manal Ali Buabeid, Mohamed El Tabbal, Hussam Hayani, Stoyan Stoyanov, Weilun Sun, Hauke Thiesler, Iris Röckle, Herbert Hildebrandt, Oleg Senkov, Vishnu Suppiramaniam, Rita Gerardy-Schahn, and Alexander Dityatev
A variational framework for second-order backward discrete boundary value problems, Liancheng Wang, Min Wang, and James Zhang
New upper estimate for positive solutions to a second order boundary value problem with a parameter, Liancheng Wang and Bo Yang
Submissions from 2022
A strengthening of the Erdős–Szekeres Theorem, József Balogh, Felix Christian Clemen, Emily Heath, and Mikhail Lavrov
Monochromatic connected matchings in 2-edge-colored multipartite graphs, József Balogh, Alexandr Kostochka, Mikhail Lavrov, and Xujun Liu
Population divergence time estimation using individual lineage label switching, Peter Beerli, Haleh Ashki, Somayeh Mashayekhi, and Michal Palczewski
Finding Almost Squares VII, Tsz Ho Chan
The Facial Weak Order on Hyperplane Arrangements, Aram Dermenjian, Christophe Hohlweg, Thomas McConville, and Vincent Pilaud
Decoding alarm signal propagation of seed-harvester ants using automated movement tracking and supervised machine learning, Xiaohui Guo, Michael R. Lin, Asma Azizi, and Lucas P. Saldyt
Longest cycles in 3-connected hypergraphs and bipartite graphs, Alexandr Kostochka, Mikhail Lavrov, Ruth Luo, and Dara Zirlin
Excluded volume effects and fractional viscoelasticity in polymers, Somayeh Mashayekhi, Eugenia Stanisauskis, Mahdi Hassani, and William Oates
Acoustic wave propagation in anisotropic media with applications to piezoelectric materials, Eric Stachura
Fractional and fractal order effects in soft elastomers: Strain rate and temperature dependent nonlinear mechanics, Eugenia Stanisauskis, Somayeh Mashayekhi, Basanta Pahari, and Markus Mehnert
Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive, Vasu Tewari, Andrew Timothy Wilson, and Philip B. Zhang
Matching extendability in Cartesian products of cycles, Jennifer Vandenbussche and Erik E. Westlund
Optimization of stimulation waveforms for regulating spike-wave discharges in a thalamocortical model, Luyao Yan, Honghui Zhang, Zhongkui Sun, and Pengcheng Xiao
Submissions from 2021
A topological degree theory for perturbed AG(S+)-operators and applications to nonlinear problems, Dhruba R. Adhikari, Teffera M. Asfaw, and Eric Stachura
Hopficity and duo rings, Ulrich Albrecht and Francisco Javier Santillán-Covarrubias
On Hardy-Littlewood-Pólya and Taikov type inequalities for multiple operators in Hilbert spaces, V. Babenko, Yu Babenko, N. Kriachko, and D. Skorokhodov
On asymptotically optimal cubatures for multidimensional Sobolev spaces, V. F. Babenko, Y. V. Babenko, and O. V. Kovalenko
Monochromatic paths and cycles in 2-edge-coloured graphs with large minimum degree, József Balogh, Alexandr Kostochka, Mikhail Lavrov, and Xujun Liu
Lattices from graph associahedra and subalgebras of the Malvenuto–Reutenauer algebra, Emily Barnard and Thomas McConville
Lattice polytopes from schur and symmetric grothendieck polynomials, Margaret Bayer, Bennet Goeckner, Su Ji Hong, Tyrrell McAllister, McCabe Olsen, Casey Pinckney, Julianne Vega, and Martha Yip
Improving teaching and learning: mathematics and science faculty reflections across time, Kadian M. Callahan
On the Critical Exponent for k-Primitive Sets, Tsz Ho Chan, Jared Duker Lichtman, and Carl Pomerance
A positivity phenomenon in Elser's Gaussian-cluster percolation model, Galen Dorpalen-Barry, Cyrus Hettle, David C. Livingston, Jeremy L. Martin, George D. Nasr, Julianne Vega, and Hays Whitlatch
Zonotopes whose cellular strings are all coherent, Rob Edman, Pakawut Jiradilok, Gaku Liu, and Thomas McConville
Micropterons, nanopterons and solitary wave solutions to the diatomic Fermi–Pasta–Ulam–Tsingou problem, Timothy E. Faver and Hermen Jan Hupkes
A Variational Framework for a Second Order Discrete Boundary Value Problem with Mixed Periodic Boundary Conditions, John R. Graef, Lingju Kong, and Min Wang
Construction of finite tight frames via singular value decomposition, Jun Ji and Long Wang
Existence of positive solutions for a fractional compartment system, Lingju Kong and Min Wang
Conditions for a bigraph to be super-cyclic, Alexandr Kostochka, Mikhail Lavrov, Ruth Luo, and Dara Zirlin
Fractional model of stem cell population dynamics, S. Mashayekhi and S. Sedaghat
Traveling wave solutions for a cancer stem cell invasion model, Caleb Mayer and Eric Stachura
Determinantal formulas with major indices, Thomas McConville, Donald Robertson, and Clifford Smyth
On a rank-unimodality conjecture of Morier-Genoud and Ovsienko, Thomas McConville, Bruce E. Sagan, and Clifford Smyth
Control and analysis of epilepsy waveforms in a disinhibition model of cortex network, Zhuan Shen, Zichen Deng, Lin Du, Honghui Zhang, Luyao Yan, and Pengcheng Xiao
Control and analysis of epilepsy waveforms in a disinhibition model of cortex network, Zhuan Shen, Zichen Deng, Lin Du, Honghui Zhang, Luyao Yan, and Pengcheng Xiao
Bound states and energy eigenvalues of a radial screened coulomb potential, Eric Stachura and N. Hancock
Quantitative trace estimates for the Maxwell system in Lipschitz domains, Eric Stachura and Niklas Wellander
Using Strand Committees to Build Faculty Support for Departmental Change, Jennifer Vandenbussche, Lake Ritter, Kadian M. Callahan, and Erik E. Westlund
Using Strand Committees to Build Faculty Support for Departmental Change, Jennifer Vandenbussche, Lake Ritter, Kadian M. Callahan, and Erik E. Westlund
On the resilience of a fractional compartment model, Min Wang
On the resilience of a fractional compartment model, Min Wang
Submissions from 2020
Topological degree for quasibounded multivalued (S̃)+-perturbations of maximal monotone operators, Dhruba R. Adhikari
Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach, Árpád Bényi, José María Martell, Kabe Moen, Eric Stachura, and Rodolfo H. Torres
Stability analysis of a fractional online social network model, John R. Graef, Lingju Kong, Andrew Ledoan, and Min Wang
The least-squares fit of highly oscillatory functions using Eta-based functions, S. Mashayekhi and L. Gr Ixaru
Submissions from 2019
Brosamler’s formula revisited and extensions, Lucian Beznea, Mihai N. Pascu, and Nicolae R. Pascu
CVA for Cliquet options under Heston model, Yaqin Feng, Min Wang, and Yuanqing Zhang
A fractional differential equation model forbike share systems, John R. Graef, Shen-Shyang Ho, Lingju Kong, and Min Wang
Stochastic ordering of Pólya random variables and monotonicity of the Bernstein–Stancu operator for a negative parameter, Florenţa Tripşa and Nicolae R. Pascu
Submissions from 2018
Maini's many contributions to mathematical enzyme kinetics: A review, Meghan A. Burke
An Optimal Control Model to Reduce and Eradicate Anthrax Disease in Herbivorous Animals, Ana-Maria Croicu
An Incentivized Early Remediation Program in Calculus I, Jennifer Vandenbussche, Lake Ritter, and Christina Scherrer
Submissions from 2017
Stechkin's problem for functions of a self-adjoint operator in a Hilbert space, Taikov-type inequalities and their applications, Vladyslav Babenko, Yuliya Babenko, and Nadiia Kriachko
Color-blind Index in Graphs of Very Low Degree, Jennifer Diemunsch, Nathan Graber, Lucas Kramer, Victor Larsen, Lauren M. Nelsen, Luke L. Nelsen, Devon Sigler, Derrick Stolee, and Charlie Suer
Submissions from 2016
Inequalities of Hardy-Littlewood-Polya Type for Functions of Operators and Their Applications, Vladyslav Babenko, Yuliya Babenko, and Nadiia Kriachko
Optimal Recovery of Integral Operators and its Applications, Vladyslav Babenko, Yuliya Babenko, Nataliya Parfinovych, and Dmytro Skorokhodov
A Mathematical Model of Endothelial Nitric Oxide Synthase Activation with Time Delay Exhibiting Hopf Bifurcation and Oscillations, L. R. Ritter, C. A. Chrestensen, and J. C. Salerno
Submissions from 2015
Kolmogorov's Problem for Completely and Multiply Monotone Functions and the Markov Moment Problem, Vladyslav Babenko, Yuliya Babenko, and Oleg Kovalenko
Short- and Long-Term Optimal Control of a Mathematical Model for HIV Infection of CD4+T Cells, Ana-Maria Croicu
Short- and Long-Term Optimal Control of a Mathematical Model for HIV Infection of Cells., Ana-Maria Croicu
A New Characterization of Fine Scale Diffusion on the Cell Membrane, Flor A. Espinoza and Stanly L. Steinberg
An Emergent Framework: Views of Mathematical Processes, Wendy B. Sanchez, Alyson E. Lischka, Kelly W. Edenfield, and Rebecca Gammill
Reflective Analysis as a Tool for Task Redesign: The Case of Prospective Elementary Teachers Solving and Posing Fraction Comparison Problems, Eva Thanheiser, Dana Olanoff, Amy Hillen, and Ziv Feldman
Submissions from 2014
Simultaneous Approximation of a Multivariate Function and its Derivatives by Multilinear Splines, Ryan Anderson, Yuliya Babenko, and Tetiana Leskevych
Exact Asymptotics of the Optimal Lp-error of Asymmetric Linear Spline Approximation, Vladyslav Babenko, Yuliya Babenko, Nataliya Parfinovych, and Dmytro Skorokhodov
Predictive Validity of a Training Protocol Using a Robotic Surgery Simulator, Patrick Culligan, Emil Gurshumov, Christa Lewis, Jennifer L. Priestley, Jodie Komar, and Charbel Salamon
Fibonacci Number of the Tadpole Graph, Joe DeMaio and John Jacobson
A 'Crying Wolf' Game of Interspecific Kleptoparasitic Mutualism, Antonio J. Golubski, Nathaniel S. O'Connell, Jesse A. Schwartz, and Sean F. Ellermeyer
Computing the Outer and Group Inverses Through Elementary Row Operations, Jun Ji
A New Method for Computing Moore-Penrose Inverse through Gauss-Jordan Elimination, Jun Ji and Xuzhou Chen
Prospective Cohort Study of Bowel Function After Robotic Sacrocolpopexy, Christina Lewis, Charbel Salamon, Jennifer L. Priestley, and Emil Gurushumov
Higher Protein Intake Improves Length, Not Weight, z Scores in Preterm Infants, Irene E. Olsen, Cheryl L. Harris, M. Louise Lawson, and Carol L. Berseth
Stent Graft Therapy for False Lumen Aneurysmal Degeneration in Established Type B Aortic Dissection (FADED) Results in Differential Volumetric Remodeling of the Thoracic versus Abdominal Aortic Segments, Jean Marie Ruddy, Paul Reisenman, Jennifer Priestley, and Luke P. Brewster
Sexual Function Before and 1 Year After Laparoscopic Sacrocolpopexy, Charbel G. Salamon, Christa M. Lewis, Jennifer L. Priestley, and Patrick J. Culligan
Submissions from 2013
Simultaneous Approximation of a Multivariate Function and its Derivatives by Multilinear Splines, Ryan Anderson, Yuliya Babenko, and Tetiana Leskevych
On the Lp-error of Approximation of Bivariate Functions by Harmonic Splines, Yuliya Babenko and Tatyana Leskevich
Stechkin's Problem for Differential Operators and Functionals of First and Second Orders, Yuliya Babenko and Dmitriy Skorokhodov
Prognostic Value of Patient-Reported Symptom Interference in Patients with Late-stage Lung Cancer, Bradley J. Barney, Xin Shelley Wang, Charles Lu, Zhongxing Liao, Valen E. Johnson, Charles S. Cleeland, and Tito R. Mendoza
Substance Abuse via Legally Prescribed Drugs: The Case of Vicodin in the United States, Wendy K. Caldwell, Benjamin Freedman, Luke Settles, Michael M. Thomas, Anarina Murillo, Erika Camacho, and Stephen Wirkus
Designed to Fail: The Medicare Auction for Durable Medical Equipment, Peter Cramton, Sean Ellermeyer, and Brett Katzman
Porcine Dermis Compared with Polypropylene Mesh for Laparoscopic Sacrocolpopexy: A Randomized Controlled Trial, Patrick J. Culligan, Charbel G. Salamon, Jennifer L. Priestley, and Amir Shariati
Proof Without Words: An Alternating Sum of Squares, Joseph DeMaio
Domination and Independence on a Triangular Honeycomb Chessboard., Joseph DeMaio and Hong Lien Tran