Publications from the Department of Mathematics faculty at the University of Rhode Island.

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Submissions from 2021

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Graphs with few trivial characteristic ideals, Carlos A. Alfaro, Michael D. Barrus, John Sinkovic, and Ralihe R. Villagrán

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A Level-1 Limit Order Book with Time Dependent Arrival Rates, Jonathan A. Chávez-Casillas, Robert J. Elliott, Bruno Rémillard, and Anatoliy V. Swishchuk

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Properties of basins of attraction for planar discrete cooperative maps, M. R.S. Kulenović, J. Marcotte, and O. Merino

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Asymptotic behavior of a discrete-time density-dependent SI epidemic model with constant recruitment, M. R.S. KulenoviĆ, M. NurkanoviĆ, and Abdul Aziz Yakubu

Submissions from 2020

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New restrictions on defective coloring with applications to steinberg-type graphs, Addie Armstrong and Nancy Eaton

Global dynamics of generalized second-order Beverton–Holt equations of linear and quadratic type, E. Bertrand and M. R.S. Kulenović

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Bounds on the localization number, Anthony Bonato and William B. Kinnersley

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Group actions, divisors, and plane curves, Araceli Bonifant and John Milnor

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Hereditarily non uniformly perfect non-autonomous Julia sets, Mark Comerford, Rich Stankewitz, and Hiroki Sumi

Fully active cops and robbers, Ilya Gromovikov, William B. Kinnersley, and Ben Seamone

Global dynamics of monotone second order difference equation, S. Kalabušić, M. R.S. Kulenović, and M. Mehuljić

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Global Dynamics of Delayed Sigmoid Beverton-Holt Equation, Toufik Khyat and M. R.S. Kulenović

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Global Dynamics of Delayed Sigmoid Beverton–Holt Equation, Toufik Khyat and Mustafa Kulenovic

Global dynamics and bifurcations of two second order difference equations in mathematical biology, M. R.S. Kulenović and Sarah Van Beaver

Submissions from 2019

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A Level-1 Limit Order Book with Time Dependent Arrival Rates, Jonathan A. Chávez-Casillas, Robert J. Elliott, Bruno Rémillard, and Anatoliy V. Swishchuk

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Orbit portraits in non-autonomous iteration, Mark Comerford and Todd Woodard

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Global dynamics of perturbation of certain rational difference equation, Sabina Hrustić, Mustafa R.S. Kulenović, Samra Moranjkić, and Zehra Nurkanović

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Lower bounds for integral functionals generated by bipartite graphs, Barbara Kaskosz and Lubos Thoma

Birkhoff normal forms, KAM theory and continua of periodic points for certain planar system, M. R.S. Kulenović, E. Pilav, and N. Mujić

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Global Dynamics of Leslie-Gower Competitive Systems in the Plane, Mustafa R. S. Kulenović and David T. McArdle

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Global dynamics of a cooperative system with ceiling density dependence, Mustafa R.S. Kulenovic and Sarah Van Beaver

Submissions from 2018

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Adjacency Relationships Forced by a Degree Sequence, Michael D. Barrus

Weakly threshold graphs, Michael D. Barrus

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Neighborhood degree lists of graphs, Michael D. Barrus and Elizabeth A. Donovan

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On 1-uniqueness and dense critical graphs for tree-depth, Michael D. Barrus and John Sinkovic

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Global Dynamic Scenarios for Competitive Maps in the Plane, Elliott Bertrand and M. R. S. Kulenović

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Global Dynamics of a Cooperative Discrete System in the Plane, Arzu Bilgin, Ann Brett, Mustafa R.S. Kulenović, and Esmir Pilav

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Antipode preserving cubic maps: The Fjord theorem: The, Araceli Bonifant, Xavier Buff, and John Milnor

Global stability of a quadratic anti-competitive system of rational difference equations in the plane with Allee effects, V. Hadžiabdić, M. R.S. Kulenović, and E. Pilav

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Local dynamics of planar maps with a non-isolated fixed point exhibiting 1–1 resonance, William T. Jamieson and Orlando Merino

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Global Behavior of Certain Nonautonomous Linearizable Three Term Difference Equations, E. J. Janowski and Mustafa Kulenović

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Bounds on the length of a game of Cops and Robbers, William B. Kinnersley

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Invariant curves for planar competitive and cooperative maps, M. R.S. Kulenović and O. Merino

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Global asymptotic stability and naimark-sacker bifurcation of certain mix monotone difference equation, M. R.S. Kulenović, S. Moranjkić, M. Nurkanović, and Z. Nurkanović

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Global Asymptotic Stability and Naimark-Sacker Bifurcation of Certain Mix Monotone Difference Equation, Mustafa R. S. Kulenović, S. Moranjkić, M. Nurkanović, and Z. Nurkanović

Submissions from 2017

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Colored Saturation Parameters for Rainbow Subgraphs, Michael D. Barrus, Michael Ferrara, Jennifer Vandenbussche, and Paul S. S. Wenger

Global dynamics of the general second order difference equation in the first quadrant, J. Bektešević, M. R.S. Kulenović, and E. Pilav

Global Asymptotic Stability for Discrete Single Species Population Models, A. Bilgin and M. R.S. Kulenović

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Global Asymptotic Stability for Discrete Single Species Population Models, A. Bilgin and Mustafa Kulenovic

Global attractivity for nonautonomous difference equation via linearization, Arzu Bilgin and M. R.S. Kulenović

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Bifurcation and global dynamics of a leslie-gower type competitive system of rational difference equations with quadratic terms, V. Hadžiabdić, M. R.S. Kulenović, and E. Pilav

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An asynchronous direct solver for banded linear systems, Michael A. Jandron, Anthony A. Ruffa, and James Baglama

The Naimark-Sacker bifurcation and symptotic approximation of the invariant curve of a certain difference equation, T. Khyat, M. R.S. Kulenović, and E. Pilav

Submissions from 2016

IRLBA: Fast partial singular value decomposition method, James Baglama

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Lazy Cops and Robbers played on random graphs and graphs on surfaces, Deepak Bal, Anthony Bonato, William B. Kinnersley, and Paweł Prałat

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On realization graphs of degree sequences, Michael D. Barrus

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Graphs with the strong Havel-Hakimi property, Michael D. Barrus and Grant Molnar

Asymptotic approximations of a stable and unstable manifolds of a two-dimensional quadratic map, J. Bektešević, M. R.S. Kulenović, and E. Pilav

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Basins of Attraction of Period-Two Solutions of Monotone Difference Equations, Arzu Bilgin, Mustafa Kulenovic, and Esmir Pilav

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The Game Saturation Number of a Graph, James M. Carraher, William B. Kinnersley, Benjamin Reiniger, and Douglas B. West

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Birkhoff Normal Forms, KAM Theory and Time Reversal Symmetry for Certain Rational Map, Erin Denette, Mustafa Kulenovic, and Esmir Pilav

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Domination Game: A proof of the 3/5-Conjecture for Graphs with Minimum Degree at Least Two, Michael A. Henning and William B. Kinnersley

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Global Dynamics and Bifurcations of Certain Second Order Rational Difference Equation with Quadratic Terms, Sabina Jašarević Hrustić, M. R.S. Kulenović, and M. Nurkanović

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Local Dynamics and Global Stability of Certain Second-Order Rational Difference Equation with Quadratic Terms, S. Jasarevic Hrustic, Mustafa Kulenovic, and M. Nurkanovic

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Global Dynamics and Bifurcations of Two Quadratic Fractional Second Order Difference Equations, Senada Kalabušić, Mustafa Kulenovic, and M. Mehuljić

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Game Brush Number, William B. Kinnersley and Pawel Pralat

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To Catch a Falling Robber, William B. Kinnersley, Paweł Prałat, and Douglas B. West

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Global dynamics and bifurcation of a perturbed Sigmoid Beverton–Holt difference equation, M. R.S. Kulenović, S. Moranjkić, and Z. Nurkanović

Submissions from 2015

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Bifurcation in Deterministic Discrete Dynamical Systems: Advances in Theory and Applications, Raghib Abu-Saris, Fathi Allan, Sui Sun Cheng, and Mustafa Kulenovic

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Lazy Cops and Robbers on Hypercubes, Deepak Bal, Anthony Bonato, William B. Kinnersley, and PaweŁ PraŁat

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Minimal forbidden sets for degree sequence characterizations, Michael D. Barrus and Stephen G. Hartke

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Uniqueness and Minimal Obstructions for Tree-Depth, Michael D. Barrus and John Sinkovic

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Global Dynamics of Cubic Second Order Difference Equation in the First Quadrant, Jasmin Bektešević, Mustafa Kulenovic, and Esmir Pilav

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The Spectral Connection Matrix for Any Change of Basis within the Classical Real Orthogonal Polynomials, Tom Bella and Jenna Reis

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Asymptotic Approximations of the Stable and Unstable Manifolds of Fixed Points of a Two-dimensional Cubic Map, Jasmin Betešević, Mustafa Kulenovic, and Esmir Pilav

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Basins of attraction for two-species competitive model with quadratic terms and the singular Allee effect, A. Brett and M. R.S. Kulenović

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Global Asymptotic Stability for Quadratic Fractional Difference Equation, Mark DiPippo, Ed J. Janowski, and Mustafa Kulenovic

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Birkhoff Normal Forms, KAM Theory and Symmetries for Certain Second Order Rational Difference Equation with Quadratic Term, Sabina Jašarević-Hrustić, Zehra Nurkanović, Mustafa Kulenovic, and Esmir Pilav

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Connectivity of some Algebraically Defined Digraphs, Aleksandr Kodess and Felix Lazebnik

Global dynamics of a certain two-dimensional competitive system of rational difference equations with quadratic terms, M. R.S. Kulenović and M. Pilling

Submissions from 2014

Implicitly restarting the LSQR algorithm, James Baglama and Daniel J. Richmond

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Analysis of directed networks via partial singular value decomposition and Gauss quadrature, J. Baglama, C. Fenu, L. Reichel, and G. Rodriguez

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Global dynamics of quadratic second order difference equation in the first quadrant, J. Bektešević, M. R.S. Kulenović, and E. Pilav

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Toppling Numbers of Complete and Random Graphs, Anthony Bonato, William B. Kinnersley, and Paweł Prałat

Frontiers in complex dynamics: In celebration of John Milnor's 80th birthday, Araceli Bonifant, Misha Lyubich, and Scott Sutherland

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Global Asymptotic Stability for Linear Fractional Difference Equation, Ann Brett, E. J. Janowski, and Mustafa Kulenovic

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Basins of Attraction for Two Species Competitive Model with quadratic terms and the singular Allee Effect, Ann Brett and Mustafa RS Kulenović

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Two species competitive model with the Allee effect, Ann Brett and Mustafa RS Kulenović

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The Carathéodory topology for multiply connected domains II, Mark Comerford

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Dynamics of a two-dimensional competitive system of rational difference equations with quadratic terms, Vahidin Hadžiabdić, Mustafa Kulenovic, and Esmir Pilav

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Dynamics of phytoplankton-zooplankton systems with toxin producing phytoplankton, Sophia Jang, James Baglama, and Li Wu

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Basins of attraction of equilibrium and boundary points of second-order difference equations, S. Jašarević and M. R.S. Kulenović

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Global Period-Doubling Bifurcation of Quadratic Fractional Second Order Difference Equation, Senada Kalabušić, Mustafa RS Kulenović, and M. Mehuljić

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Cops and Robbers is EXPTIME-Complete, William B. Kinnersley

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Birkhoff Normal Forms and KAM Theory for Gumowski-Mira Equation, Mustafa Kulenovic, Zehra Nurkanović, and Esmir Pilav

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Local dynamics and global attractivity of a certain second-order quadratic fractional difference equation, Mustafa RS Kulenovic, Esmir Pilav, and Enesa Silić

Submissions from 2013

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Deterministic discrete dynamical systems: Advances in regular and chaotic behavior with applications, Raghib Abu-Saris, Fathi Allan, Mustafa Kulenovic, and Alfredo Peris

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An implicitly restarted block Lanczos bidiagonalization method using Leja shifts, James Baglama and Lothar Reichel

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An Augmented LSQR Method, James Baglama, L. Reichel, and D. Richmond

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Non-Autonomous julia sets with measurable invariant sequences of line fields, Mark Comerford

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The Carathéodory topology for multiply connected domains I, Mark Comerford

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Preservation of external rays in non-autonomous iteration, Mark Comerford and Todd Woodard

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Global Dynamics of Three Anticompetitive Systems of Difference Equations in the Plane, M. DiPippo and Mustafa Kulenovic

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On the Erdos-Sós conjecture for graphs having no path with k + 4 vertices, Nancy Eaton and Gary Tiner

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Global Dynamics of Certain Homogeneous Second-Order Quadratic Fractional Difference Equation, M. Garić-Demirović, Mustafa RS Kulenović, and N. Nurkanović

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Existence of a period-two solution in linearizable difference equations, E. J. Janowski and M. R.S. Kulenović

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Existence of a Period-Two Solution in Linearizable Difference Equations, E. J. Janowski and Mustafa RS Kulenović

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Global dynamics of an anti-competitive system of rational difference equations in the plane, S. Kalabušić, M. R.S. Kulenović, and E. Pilav

Global dynamics of anti-competitive systems in the plane, S. Kalabusǐć, M. R.S. Kulenović, and E. Pilav

Submissions from 2012

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Basins of attraction of equilibrium points of second order difference equations, M. Garić-Demirović, M. R.S. Kulenović, and M. Nurkanović