A collection of published articles from members of the Department of Mathematics at Kennesaw State University.

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Submissions from 2021

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A topological degree theory for perturbed AG(S+)-operators and applications to nonlinear problems, Dhruba R. Adhikari, Teffera M. Asfaw, and Eric Stachura

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Hopficity and duo rings, Ulrich Albrecht and Francisco Javier Santillán-Covarrubias

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On Hardy-Littlewood-Pólya and Taikov type inequalities for multiple operators in Hilbert spaces, V. Babenko, Yu Babenko, N. Kriachko, and D. Skorokhodov

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On asymptotically optimal cubatures for multidimensional Sobolev spaces, V. F. Babenko, Y. V. Babenko, and O. V. Kovalenko

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On asymptotically optimal cubatures for multidimensional Sobolev spaces, V. F. Babenko, Y. V. Babenko, and O. V. Kovalenko

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Monochromatic paths and cycles in 2-edge-coloured graphs with large minimum degree, József Balogh, Alexandr Kostochka, Mikhail Lavrov, and Xujun Liu

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Monochromatic paths and cycles in 2-edge-coloured graphs with large minimum degree, József Balogh, Alexandr Kostochka, Mikhail Lavrov, and Xujun Liu

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Lattices from graph associahedra and subalgebras of the Malvenuto–Reutenauer algebra, Emily Barnard and Thomas McConville

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Lattices from graph associahedra and subalgebras of the Malvenuto–Reutenauer algebra, Emily Barnard and Thomas McConville

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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

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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

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Improving teaching and learning: mathematics and science faculty reflections across time, Kadian M. Callahan

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Improving teaching and learning: mathematics and science faculty reflections across time, Kadian M. Callahan

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On the Critical Exponent for k-Primitive Sets, Tsz Ho Chan, Jared Duker Lichtman, and Carl Pomerance

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On the Critical Exponent for k-Primitive Sets, Tsz Ho Chan, Jared Duker Lichtman, and Carl Pomerance

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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

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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

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Zonotopes whose cellular strings are all coherent, Rob Edman, Pakawut Jiradilok, Gaku Liu, and Thomas McConville

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Micropterons, nanopterons and solitary wave solutions to the diatomic Fermi–Pasta–Ulam–Tsingou problem, Timothy E. Faver and Hermen Jan Hupkes

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A Variational Framework for a Second Order Discrete Boundary Value Problem with Mixed Periodic Boundary Conditions, John R. Graef, Lingju Kong, and Min Wang

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Construction of finite tight frames via singular value decomposition, Jun Ji and Long Wang

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Construction of finite tight frames via singular value decomposition, Jun Ji and Long Wang

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Existence of positive solutions for a fractional compartment system, Lingju Kong and Min Wang

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Existence of positive solutions for a fractional compartment system, Lingju Kong and Min Wang

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Conditions for a bigraph to be super-cyclic, Alexandr Kostochka, Mikhail Lavrov, Ruth Luo, and Dara Zirlin

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Conditions for a bigraph to be super-cyclic, Alexandr Kostochka, Mikhail Lavrov, Ruth Luo, and Dara Zirlin

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Fractional model of stem cell population dynamics, S. Mashayekhi and S. Sedaghat

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Traveling wave solutions for a cancer stem cell invasion model, Caleb Mayer and Eric Stachura

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Determinantal formulas with major indices, Thomas McConville, Donald Robertson, and Clifford Smyth

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Determinantal formulas with major indices, Thomas McConville, Donald Robertson, and Clifford Smyth

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On a rank-unimodality conjecture of Morier-Genoud and Ovsienko, Thomas McConville, Bruce E. Sagan, and Clifford Smyth

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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

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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

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Bound states and energy eigenvalues of a radial screened coulomb potential, E. Stachura and N. Hancock

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Bound states and energy eigenvalues of a radial screened coulomb potential, E. Stachura and N. Hancock

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Quantitative trace estimates for the Maxwell system in Lipschitz domains, Eric Stachura and Niklas Wellander

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Using Strand Committees to Build Faculty Support for Departmental Change, Jennifer Vandenbussche, Lake Ritter, Kadian M. Callahan, and Erik E. Westlund

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Using Strand Committees to Build Faculty Support for Departmental Change, Jennifer Vandenbussche, Lake Ritter, Kadian M. Callahan, and Erik E. Westlund

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On the resilience of a fractional compartment model, Min Wang

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On the resilience of a fractional compartment model, Min Wang

Submissions from 2019

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Brosamler’s formula revisited and extensions, Lucian Beznea, Mihai N. Pascu, and Nicolae R. Pascu

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CVA for Cliquet options under Heston model, Yaqin Feng, Min Wang, and Yuanqing Zhang

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A fractional differential equation model forbike share systems, John R. Graef, Shen-Shyang Ho, Lingju Kong, and Min Wang

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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 2017

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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

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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

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Inequalities of Hardy-Littlewood-Polya Type for Functions of Operators and Their Applications, Vladyslav Babenko, Yuliya Babenko, and Nadiia Kriachko

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Optimal Recovery of Integral Operators and its Applications, Vladyslav Babenko, Yuliya Babenko, Nataliya Parfinovych, and Dmytro Skorokhodov

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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 2014

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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

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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

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Fibonacci Number of the Tadpole Graph, Joe DeMaio and John Jacobson

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A 'Crying Wolf' Game of Interspecific Kleptoparasitic Mutualism, Antonio J. Golubski, Nathaniel S. O'Connell, Jesse A. Schwartz, and Sean F. Ellermeyer

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Computing the Outer and Group Inverses Through Elementary Row Operations, Jun Ji

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A New Method for Computing Moore-Penrose Inverse through Gauss-Jordan Elimination, Jun Ji and Xuzhou Chen

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Prospective Cohort Study of Bowel Function After Robotic Sacrocolpopexy, Christina Lewis, Charbel Salamon, Jennifer L. Priestley, and Emil Gurushumov

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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

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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

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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

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Simultaneous Approximation of a Multivariate Function and its Derivatives by Multilinear Splines, Ryan Anderson, Yuliya Babenko, and Tetiana Leskevych

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On the Lp-error of Approximation of Bivariate Functions by Harmonic Splines, Yuliya Babenko and Tatyana Leskevich

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Stechkin's Problem for Differential Operators and Functionals of First and Second Orders, Yuliya Babenko and Dmitriy Skorokhodov

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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

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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

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Designed to Fail: The Medicare Auction for Durable Medical Equipment, Peter Cramton, Sean Ellermeyer, and Brett Katzman

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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

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Proof Without Words: An Alternating Sum of Squares, Joseph DeMaio

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Domination and Independence on a Triangular Honeycomb Chessboard., Joseph DeMaio and Hong Lien Tran

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Students' Perceived Utility of Precision Taught Calculus, Rebecca-Anne Dibbs, David Glassmeyer, and Wafa Yacoub

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A Data Generating Review That Bops, Twists and Pulls at Misconceptions, Kimberly Gardner

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Uniqueness and Parameter Dependence of Positive Solutions of a Discrete Fourth-order Problem, John R. Graef, Lingju Kong, Min Wang, and Bo Yang

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Exploring Mathematics Methods Courses and Impacts for Prospective Teachers, Signe Kastberg, Wendy B. Sanchez, Andrew Tyminski, Alyson Lischka, and Woong Lim

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Multicenter Study of Pectus Excavatum, Final Report: Complications, Static/Exercise Pulmonary Function, and Anatomic Outcomes, Robert E. Kelly, Robert Mellins, Robert C. Shamberger, Karen K. Mitchell, M. Louise Lawson, Keith T. Oldham, Richard G. Azizkhan, Andre V. Hebra, Donald Huss, Michael J. Goretsky, Ronald J. Sharp, George W. Holcomb, Walton K. T. Shim, Stephen M. Megison, R. Lawrence Moss, Annie H. Fecteau, Paul M. Colombani, Dan Cooper, Tracy Bagli, and Amy Quinn

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Phospholipid Scramblase-1-Induced Lipid Reorganization Regulates Compensatory Endocytosis in Neuroendocrine Cells, Stéphane Ory, Mara Ceridono, Fanny Momboisse, Sébastien Houy, Sylvette Chasserot-Golaz, Dimitri Heintz, Valérie Calco, Anna-Marie Haeberlé, Flor A. Espinoza, Peter J. Sims, Yannick Bailly, Marie-France Bader, and Stéphane Gasman

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Flexible Bivariate Phase II Clinical Trial Design Incorporating Toxicity and Response on Different Schedules, Herman E. Ray and Shesh N. Rai

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Prospective Study of an Ultra-lightweight Polypropylene Y Mesh for Robotic Sacrocolpopexy, Charbel Salamon, Christa Lewis, Jennifer L. Priestley, Emil Gurshumov, and Patrick Culligan

Open-Ended Questions and the Process Standards, Wendy B. Sanchez

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A Krawiec-Szydlowski Model of Business Cycles with a Time Delay in Capital Stock, Xiaoqin P. Wu and Liancheng Wang